SCIENTIFIC ABSTRACT AKHYEZER, N. - AKHLYUSTIN, V.K.

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• Collection: Scientific Abstracts
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• Release Decision: RIF
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• Document Creation Date: November 2, 2016
• Document Release Date: June 5, 2000
• Sequence Number: 8
• Publication Date: December 31, 1967
• Content Type: SCIENCEAB

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tims 111lemenif teorli elliptiche"It funkuill, Mobcow- 'emn
-g-rA Clocud. Wat. TakhAbor. Ut., 1048. 201
Reading o.' this Look presuppow fundamentaiiii,of analy*6
10
of a real and ownplex variable. The work Is divided in4';10
clitapters and two Appendixes, but only sections 1, III-VI are of
,immediate Importance for technical applications. ChApteravill
said X contain conaiderable advanced (net&
First section in introdurtory In nature,.expWiting funda-
Imental coAcepts and definitions (periods of singlo-valwA analytic. \
;functions, Welierstrass p-transcendenta, theta functions, etc.)-
Third bluIpter presents a brief theory of elliptic Integrals And ofi
Wolerittrasa function#. Bectiona IV-VI contain A mom ddallod'
lrentiso of the dicta and elliptic funetions
i
Of ICCIIIIiCAI iMP0rt41)C0.i8 section Vill, explaining the rolo of;
!cIlip6a functions in conformal mapping. Reader's atteuti.. I.!
called "pecially to chapter X containing many facts of applied
There Are numerous fundamental problems in techuhlum which'
require rood knotirledge of the iubject. in question, fluell as theory
(if 1-nijulum, elliptic filter*, ninny questions about motion of A:
Y'lI
-linporlant fuels of lhe t
-~cilid wilb only one fixed 1xiint, heory of I
As for more ndvanceil problems, We 111011tion At least
Ih, id,m of elliptic enordhintex and the I'mild etpultion.
Al,hiezer's book ilICOTHIS Al-01111, 1111 UIPSC Viet.. 111 41 Cleur
and
virid pro-111.1tion. I601nill, unnilmrsonit! couslisirlinjiti and -u
-------------
1,111flut'lls it Y; it Ilit"elly 01:104.1 111(, hvini'l "I the
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. --w ., .. - --A --- 1'. " 11 AXII 1. ( ;,. I
- ti - . i-, :-,~ I - -

AKRIYEZMI N. 1.
USSR/Ac-ddemy of Sciences
Sciences Jun 49
"Meeting of the Presidium on 5 May 1949" 2 pp
"Vest Ak Nauk SSSR" No 6
A. s. Popov medal for 191+9 was awarded to Acad B. A.
Vvedenskiy for
outstanding work in radio physics and radio engineering.
V. V- Dokuchayev
medal for 191+8 was-awarded posthumously to Prof 6. A.
Zakharov for his
works on soil conservation. F. L. Chebyshev prize (20,000
rubles) for
, Acad Sci USSR, for his book, "Lectures
1948 was awarded to.IL. I,-AkhiXe;er
on the Theory of Approximation." A. D. Arkhangellskiy
prize(10,000 _r_uBI_es_)_
was awarded f6-Te-.-IT-.Sffc-flu-RTn-s-8r Sci
Collaborator, Inst of Geol Sci,
for the work "Tertiary Continental Deposits on the
Northern Urals."
PA 54/49T2

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="athematics Approxim%ations J
"'piks' of 'Academician S. N. Bernshteyn.
on the con,~
j~tive Theory of Functions (on the
Occasion'."
ar'-:his 7Ot4 Birthday),", N. 'I,.,
A,kbiyezer
"06pekhi Mate- tNal*" Vol VI, No 1 (41),
PP 3-67'
Viia, headings -. best approximation by
polynomiales
probleme of interpolation; inequalities
for pol~r-
i6mials and trigonometric sums; extremal
proper-
ties of entire (integral) transcendental
functi
C&,finite degree; best approximation on
the entire
&~ds by mean of integral,transcendental
functions
bf.,finite degree; phenomenon of
interference; bes.t

AHIM zm~ N. x.
USSR/Mathematice Approximation., Sep/Oat
Inequalities
"Integral Fune,tionn*of Finite Degree That Deviate
the Least Frdm.Zero.," N. I. Akhiyezer, Khar1kov
Matemat Sbor" Vol 31 (73), No 2, pp 4.15-438
I=estl4ates.subject problem for the case where
.-the.polynomial passes'over into an integral
lentire) transcendental function, Vhen the probla
.becomes 'somewhat complicated. Submitted 18 Apr
52,

\-A
USSR/Mathematics Majorants Jul/Aug,52
"Entire (Integral) Transcendental
Finite-Power
Functions Possessing a Majorant on a
Sequence of
Real Points," V. N. Ak1hiyezer
"Iz - Ak "Biuk SSSR, S er Matemat" Vol
XVI, No 4,
PP 353-364
Demonstrates 2 theorems governing the
dependence,cf*
,the growth of a finite-power entire
function along
the real axis upon its growth along a
certain finite
sequence of real points. Cites Cartvright,
"On
Certain Integral Functions of Order One,"
quar J
of MAth, Oxford Series, T, 1936, 46-551
Agoon,
219T68
"Functions of Exponential Type in an Angle
and Sing-
ularitiee of Taylor Series," Trans Amer
Math Soc,
70, 3, 1951; Paley and Wiener, "Fourier
Transforms
in the Complex Domain," New York, 1934.
Also
cites Soviet mathematicians V. A.
Marchenko (19c.;9);
S. N. Bernahteyn (1948); and previous
vorks. Sub.
mitted by Aced S. N. Bernshteyn, 13 Jan 52.

o
0~~cs Colupi ab e~ "S ; Gdt:'52'.
ep
Functions (Entire)
k Family of Entire Functions of Finite
Power and a
hebyshev Problem, N. 1. Akhiyezer
lz~ Ak Nauk SSSR, Ser MatemaV Vol 16,, No
5,
ip~ 4597468
Mates that in order to solve certain
ex.;remal prob-:
Left. ~: in the class of entire (integral
functions,
entire functions of finite power are
required whose
graph possesses a certain sinusoidal form,
described
226rp
in the article. Autbor'constructs and
inves-
tigates a family of-smeb functions. Gives
one
Application. Submitted by Aced S. N.
Bernshteyn:
25 Feb 52. Cites 3 references, all by Bern-
shteyn, 1926; 1946; 1949.
22*71*
'&4

AKHMMI X. 1.
I I
"Entire Functions of the Finite Order Least Deviating f rom
Zero," Mat. sbor. .
31, No.2,, 1952

f ~ -.1 .",:
" , ... . .

AKHM~ZiMl 111. 1.
US6R/Eathej-atics - T1--igor.oj-.ot-r1c
"A Generalization of '1~-Igonori;etric Conjugate Series," 0.
1. Babakova, laiarlko,:
Polytech Inst Jj:,. lanin
DAN 56SH, Vol 91, No 6, pp 124-1-1244, (Jf3
OD 2k
Introduces thetwo functions A F(t)- Z 1-th
k -lT--h
dD 2k
E 1-k
(aksinkt, - bkcOskt) and BhF(t),vk-J.1th2-"
(bkcosktal(sinkt), which are the generalized
conjugates, of the lst and2nd kind, of the function F(t)
Cv
a -P (a bksinkt), where h is an arbitrary nunber (C) A h &
1). Shows that
ok=T kcoskt
Ah and -Bh are singuLar integral operators which transform
F(t) into 'F"(t). Obtains
results of use in apvxoYJinations (cf. N. I. Akhiye:,,er,
Leksii po Teorii
Approksimatsii, 1947). Presented by Acad S. N. Barnshteyn 19
Jun 53.

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1 A9 Rtv
p therr Its an untarr iu-ailm, 4, ~1
such thar. if ff is t,
p~nefl t lit; PC
get [defirwd bt, the .1 V;
431 1 1 Q~2.! , th"Se Re% I ii -
of zeros of a real entir, fj --.c t:o,
for "hich !irn
x~ io !h;-' clplt-t-
least Imm hxj III tile bv?cclfjr-u
Ac an
I . 1. 1 w.

,~ I

AKIITEZER, R.I.; LANDKOF, H.S., redaktor; LI14kMVA,
M.I., tekhnicheskiy
(Academician S.R. Bernshtein and his work on a
constructive theory
of functions] Akademik S.N. Bernshtein I ego raboty
po konstruk-
tivnot tenfil funktcli. Kharlkov Izd-vo Kharlkovskogo
gos.univ.
In. A.M. Gorllcogo, 1955. 110 p. (MLRA 8:10)
(Bernebtain, Sergei Hatonovich, 1880- ) (Functions)

N-T,
BEHSHTA, Sargey Hatanovich,alcademik redaktor;
CHBUYSEENKO, Ya.T..tekbniabaskly A! W-6-3 W'
[Anal,vtical nature of solutions of elliptical differential
equiltional Analitichookala priroda reahenii differentsiallaykh
uravnenii alliptichookogo tipa. Red. i kommantarit N.Ia Akhiezers.
lbartkov', Izd-vo KharIkovakogo goo. univ. im. A.M. Gorlkogo.
1956.'93 P- (MLRA 10:5)
(Differential equatious, Partial)

K14 ly i7l 7- E
SUBJECT USSR/MATHEMATICS/Theory of approximations CARD 1/1 PG
- 421
AUTHOR ACHIEZER N'I*
TITLE On weighted approxizations of continuous functions by
polynomials
on the whole number line.
PERIODICAL Uspechi mat. Nauk 11, 4, 3-43 (1956)
reviewed 12/1956
The problem of the weighted approximation by polynomials was
firstly
formulated by Bernlftejn in 1924- Since that time this problem
was treated by
several authors. But only in the last years papers of Hall,
Pollard, Mergeljan
etc. were published which form a certain closing of the whole
question. This
induces the author to give a detailed closed representation of
the problem.
Some proofs (e.g. that of Pollard) are replaced by simpler
ones which follow
from known results of the author.

AIKIYZM, 11, 1.
W~Aawsp
The Kharkov Mathematical Society. Ueh.zap.iWU 65:31-39
'56.
(Kharkov-Mathematics--Sociati-es) (KUA 10:7)

KtAlY E7. F_ [j, fl,
SUBJECT USSR / PHYSICS CARD 1 / 2 PA - 1465
AUTHOR ACHIEZER,N.I., ACHIEZER,A.H.
TITLE On the Problem of the Diffraction of Electromagnetic Waves at a
Circular Opening in a Plane Screen.
PERIODICAL Dokl.Akad Nauk log, faso. 1,,53-56 (1956)
Issued: l,;5T7.revie'wed: 11 / 1956
The present-work applies the results obtained by N.I.ACHIEZERv
Dokl.Akad.Rauk,
38-1 No 3 (1954) to a diffraction problem. One of these results
relates to the
integral equations:
0(A)jm(A r)X.R+l dA -O(r..'-a)' C(A)JM (Ar)Am+.' F(r)rm(o 0 on the given arc, l(4, '-'Q ~,.2 j. "' 0)
of the
io
unit oircle z a e Let D be the %-plate cut along 1. Lot
I w 0002 0082 Let g(s) - g(N't)
8i 9'
17
be an analytio function regular in D and differeSt from
zero,
g(oo)>O aiid jg(e i0)12 1 , where t(9) is a given con
" _tTQ7
tinuous, positive function*
Theorem I s If t(9), A. '& 9~,'*2 i-J'- 4 is continuous and
positive I

67547
Polynomials Orthogonal on a Circular Arc SOV/20-130-2-1/69
then f4 n--.cD it holds
n
(,0+1)2 -4Yz+s-1-2sin 2 2
fol z+I+ a+l)--4a 4
(5) g(z;t)
2
2
uniformly in each closed domain lying in.D. Here it is
1~ 2
- 000
8
Theorem 2 gives the asymptotic behavior of
ln(z)t if t(
for eartain. k"-.0 satisfies the conditIon
+
h) - t(o), ITI h k 0 :9 + h '.-'2t;'-
Chebyshev and Ya.L. Geronimus are mentioned.
Card 2/3

Polynomlals Orthogonal on a Circiili~lr Arr- 05)47
SOV120-130-20-1169
In such a case, when n --4 a), 1P ljoig) will. be unifonn over
the
entire arc 1. To prove this theorem a function so(Q) must be
introduced: So (e1w) (e-1w),
2q
where a (v) - A ff (v - rA)II (ri - P) (v -i
It is then possible to prove that
fj-~ ~. WO 00)
bm"I
Analyzing the polynomials Ir.(z) orthogonal on are 1 it is
possible
to prove that in a most general case, for n > n.,Y these
polynomials
satisfy the equation
TY10-2 Y,+,
There are 4 references, 2 Soviet, I Genrian, 1 French.
ASSOCIATION: Gor'kiy State University of Khar'kov (Miar'kovskiy
gosudarstvennyy
N
universitet imeni A. M. Gorlitogo)
SUBIYUETTED: Sept6mber 23, 1959 Card 3/3

8h565
S/02 60/134/001/022/038 XX
CI 11 YC222
AUTHORa ~Akhlyezerq N.I.
TITLE.: Orthogonal Polynomials on 3everal~Intervals
PERIODICAM Dokl*dy'Ak&deai-i-nauk-SSSR-, 196o, vol. 134, No. 1,
pp. 1-2
TEXTs Let,the weight be different from zero only in the points of
the inter-
tale (E) 1 < 0t, 4 8 .4
- 1' d-13 181' W-2 I ' 1 1
cAI q >,, p) the
zeros of Q(x).
Let
S(x) lit P (x)
(3) dx S(X) In R(X) dx 1912,..t?
---R(Xj x E
Then there exists a rational function f(Z-, ~R(Z)) the
Edngle.zerasof which
on F are the bl, ..61 bq and the single poles on Yare the all ...
; a p
and oc), where-the last pole is a pole of order (q - p)..
It.is shown that for determining the Tn(x; P), Un-l(z; P) , it is
sufficient
'to construct a rational function p(z' VR(z)) having a pole of
n-th order
Card 2/4

84565
Orthogonal Polynomials on Several Intervals
S/020J60/134/001/022/038 XXI
C111/C222-
in 00 poles of -fizot order in of- a zero of (n-p)-th
order in oo and p simple zeros in a ap (00 and 00 1 are. poDits
corresponding to the two sheet's of-F),-
Theoremi'If P(x) and Q(?c)-&r4-polynomiald which-eatisf the
conditioris of'
the lemma, where the-degree q of Q(:x).:!5 degree n of P(X~, then
for z 6 it
holds:
T- (z; Q) + -T1
S
(z; P) + u P)
n-1 (z;'
B(z)
A I z; ~( XXI)
Here
exp SW In f(x) d
f --- 2 T --R(X) Xj
Gard 3/4

84565
Ort4ggonal Polynomials-on Several Intervals S/02 60/134/001/022/.)38
XX
C1 1 IYC222
Z; f (x exp =Rz 'a f dxj
L
, 2 7r' r- -R(x) -Z - X
T~e author mentions S6N. Bernshteyn There are 2 references: I Soviet
and
1 American.
ASSOCIATIONt 'Kharl,kaTskiy_-gosudaretvenny-yuniversitet imeni
A.M.-Gor!kogo
(11hair-1ko'. v'St&te University imeni A.M. GorlkiY)
PRESENTED: April 18, 1960, by S..N. Bernshteyn, Academician
SUBMITTEDi April 15, ig6o
q,ord 4/4,

AKHMM, Naum Wich, iffff, L.T,
D a red.; YKRMKOVA, Ye.A.,
telchn.rede
(claashal problem- of moments and some reltited probleLls of
analysis] liessicheBksia problema momentov I nakotorya
voprosy analiza eviazannye a naiu. Uoakva, Gos.izd-vo
fiziko-matem.lit-ryp 1961. 310 -no (MIRA 14:4)
(moment ap;cee) (PIMotional analysis)

AMIIYEZER, 11 1
Theory of linear operators in flilbert space, by
111.1. Akhiezer and
I.M. Glazman. New Yourk, Ungar, 1961-
V
Translated from the oriAnal Russian: Teoriya
-Lineynykh opcratorov
0
v Gillbertovom prostranstve, Yoscow, 1950.
Includes references.

~-AMYEZER N. PETROVSKIY, I.G.
S.N,Bernshtein's contribution to the theory of differential
equations
with partial derivatives. Uap. mat. nauk 16 no.2s5-20 Kr-Ap 161.
(MIR&
(Differential equations, Partial)

Yq00 S/044/62/000/006/004/127
B112/B104
AUTHOR: Akhiyezer, N. I.
TITL4i Certain inversion formulas
6' 19~2,.10, abstracts
PERIODICAL: Referativnyy zhurnals Matematika, no
6B58 (Uoh. zap. Kharlkovek. un-t, 1961, 115, Zap Matem. otd?
Fiz-matem. fak. i Khar-kovsk. matem. o-va, v. 27: ser. 4, 1
91 - 95).
TEXT. tf(t) (t>/O) is assumed to be a continuously differentiable
function
which increases monotonically and without limitation-when.~->do- Two
-, i .
pairs of functions tj.(x and ji(xr) (i-l,*2) are introduced with the
3.
aid of the formulas X
00att (j,(x)/(f(x) dt
V,
0
(in thb expression defining the function VA) ,sin~d is written instead
&j2(x
o
frcos/3
Ca d 1 At)

3/044/62/000/006/004/127
Certain inversion formulas* B112/B104
Q (X, 21m.Ir O-A)) sin ~/(f (t) (x) dt
x
pression defining the function 9 'tten in-
(in the 'e x* 2(X~A), Cos t is. wri
stead of s'n,/,kt). The following general inversion formulas'are
then'valid-:
g(m) f (x)&)i (x, dx
0
(i It 2)
:r W g (/~4 9 (X, (A)d/kA
0
The author suspects that in general it may be impossible to
obtain,condi-
tions 'for the applicability of formulas (1), and that, therefore, they
have to be determined separately in each case. Assuming adequate
conditicn s
for the function Y(t), several known and new inversion formulas can be
0,,b-
tained from formulas (1). Writing ~(X) X, the author obtains the pair of
Card 2/3

S/044/62/000/006/00.4/127
Certain' inversion formulas B112/B104
inversion formulas
h(,,Al f(x)C,(.tkx)dx,
0 (2)
f(x) (r2/r,,)3 h~Q cos(,kx -Za/2)dAk
7
0 t
where CI(t) (Cos Z/(t - Z)1- ~dz is Jung's funoti-on of order cL.
Pormulas (2) arevalid for O:K-~ OD
1 f [Tn(x It) 1 2 S (x) dx
n It] - Nn It- - ~~ t (7x
R, E f - -R(X)
while ip(x) is given by
I
V.P. d~
2 'tu
I R(j x
A.F. Timan is mentioned in the paper. There are 2 Soviet-bloc
references
and 1 non-Soviet-bloo reference. The reference to
English-language public-
ation reads as folLowss G. SzegB, Orthogonal polynomials, 1939.
ASSOCIATION s Kharkovokiy gosudarstvennyy universitet imeni
A.M.Gortkogo
(Kharlko'v State University imeni A.M. Gorlkiy)
PRESENTEDs January 219 19619 by S.N. Bernshteynq Academician
SUBMITTEDt January 19, 1961
Card 6/6

AKHIYEZER, N.I.
Continual analogs of orthogonal polynomials on a system of Intervals.
Dokl.,AN SSSR 141 no.2%263-266 N 61. (MIRA 14:11)
1. Fiziko-tekbnicheskiy institut nizkikh temperatur A14 USSR. Pred-
stavleno akademikom S.N.Bernshteynom.
tPolynomials)

AUTHORs Akhiyezer, N.I.
32297
S/02 61/141/004/001/019
C1 I I YC222
TITLE: A continual analogue of polynomials orthogonal tr. a
circular
are
PERIODICALs Akademiya nauk SSSR. Doklady, v. 141, no- 4, 1961,
769 - 772
TEXTs The continual analore of polynomial s being orthogonal on a
circular are is a family P x y) continuous in x (>,,O) of entire
trans-
cendent functions of finite degree of this family is obtained with
itA
the aid of a "continual" orthogonalizing of the family e where
the parameter t varies only on the non-negative real values. The
follow-
ing properties are characteristic s a) P(O, X) - 1 ; b) for X,~O,
P(x,X ) is an entire function of degree x which is bounded in IM
A >, 0
ixX
and for which it holds lim P(XX )e_ 1 (Im 0) ; c) there
I Al -Poo
exists a non-deoreasing function T(X cc)< A < oo) for which 1)
it holds t
Card 1/6

S/CO122269 61/141/004/001/()19
FC!,
A continual analogue of polynomials CIII C222
(X) < OD
-+
-00
and 2) for every continuous finite f(x) (x>,,0) it holds
~ I f(x)l2 dx 300 f(x)P(x,A )dxi2 d 6' (2)
0
Let E be tho real axis of the A -plane with the exception of
the inter-
val (-1, 1) and be an absolutely continuous distribution
function
with 1
6" < l
With the aid of (Ref. 2 t N.I. Akhiyezer. DAN,134, no. 1
(196o)) and
(Ref. 2 : N.I. Akhiyezer. DAN.141, no. 2 (1961)) one finds
Card 2/6

32297
S10201611141100410011019
A continual analogue of polynomials C111/0222
ix().
ix(X +
+ e e
P(X, x) 2 + I
+1
Let futthermore kp (Z) f(x)e ixz dx and F(A) Tf(X)P(X,,k)dx
Theorem 1 z If F(X) is measurable and F(~)12 + 1 dA < cc then
it holds 00 1 i4 + ~X -2
7 1)
f (X) -21 (1 + F,-,l) ~i x
F(X) e + e d.
1 2 2
X dX d.
2 7t- 0
Card 3/6

32297
S/020/61/141/004/001/019
A continual analogue of polynomials C111/C2,"
Let be the Riemannian surface consisting of two models
of the A -plane which is out along (-co, -1) and (1,co)
and joined
together cross-wise (cf. Ref 2,3).
Lemma s Every polynomial positive on E can be represented
uniquely
in the form
&) n n
where Z kA + _,)k &)*(A)- I a k (A )k, ._"_ k
k=-n k=-n
where all zeros of 0 (X) on and all zeros of W lie on the
sheet
T 2n is the degree of SIM.
The author considers the space LT', where is absolutely
continuous
and VW 1 6~ I (A) a o that
(XT
Card 4/6

32297
S/020 61/141/004/001/019
A continual analogue of polynomials ... C111%222
C, f (~) ~ , -1- 1 x + 1 G E) 0 (- 1 < X <
2 T SL (A ) ~ X P+- 11
where SI(X) is a polynomial of degree 2n being positive on
E. The author
determines its representation according to the lemma and
constructs the
family of functions 1
, X ) = -1 (1 + IP- 1 2ix(~+
q
(x 2 + 1) W W e +
i~ 1i x
- 1 W-f J
+ 1 + 1)
For x> 0 , q(x,X is integral in X and of degree x. The
author considers
polynomials Q11 of degree k - 0,1,2,...,n-1 , being
orthogonally
normalized in
Theorem 2 : F(~ E) belongs to 2 then and only then if it
admits the representation
Card 5/6

32297
S/020/61/141/004/001/019
A continus.2 analogue of polynomials C111/C222
F(X kqk( + T f (x) Q( X, 4 )dx (6)
k=o 0 f(x)E L 2(0,00)
Here it holds 12 TI-1 2 If(x)12
SIF(X) dV(~) Z_ 10 k1+ dx
E k=o
The author mentions M.G.. Kreyn. There are 4 Soviet-bloc
references.
ASSOCIATION: Fiziko-tekhnicheskiy institut nizkikh temperatur
Akademii
nauk USSR (Physico-technical Institute of Low Temperatures-
of the Academy of Sciences Ukr.SSR)
PRESENTED: July 7, 1961, by S.N. Bernshteyn, Academician
SUBMITTED8 June 6, 1961
Card 6/6

AKHIYSZF,R. N.I.;-MYSHKIS, A.D.
Mathematics at Kharkov, 1959-1962. Usp. mat. nauk 18
no-3:245-250
)tri--Je t63. NMA 16: 10)

77 Q064V64/0116/004/
ACCMSION Ap4C)4,,375
(Khar'kov)
TTTIY- A continuous ara-log of cer--a4n
SOURCE: Ukrainskly mate" tA cheskiy zhurnp-I, v. 4, 445-4,62
-,ar r e c. a! function, integral
as a

AKHIYEZER, N.I.; MARCHE NKO, V.A.
MARCHENKO' V-A
vi :
Boris Moiaeovich Levitan, 1914- on his 50th birthday. Usp. mat.
glee ch vitan, 19~4 on his 50th birthday,~ m
t227-23 C5.; 6)t
nauk 20 no.3t227-234 M~-Je 165. (MIRA 18:6)
0.3 .4 My_je &

AMYEZER, Naum.. nlich,, TSLAY, L.Yae., red.
[Lectures on approximation theory] Lektsii po teoril ap-
proksiImatsii. Moskvas Naukap 2965. 407 p. (14IRA 18:8)

.2 ----------
ACC NRs AY5028588j.-
UIV
Akhiyeter, lauk Illich
Lectures- on the-the6rY of approximatigh (laktsti po teorii
approksimatsil'.) 2d ed
enl. Moscow, Izd-vo."Nauka!', 965. 407'p. illus., biblio., index, 10,
00
rev. and 5
copies'printed.
TOPIC TAGS., theory of apprbximatin theory of functions,-functional
analysis
9
-PUIME AND COVERAGE:': This book Is the second, revised and enlarg3d,
edition of the
same title first published in 1947 which was based on lectures given
by the authors
at The entire fir-st edition was examined and
YJ1.ar1koy- University in 1937-1939.
re%dBed. The last section "Supplerents and Problems" was corrpletely
rewritten in
order to take advantage of the newest results obtained by the author
and other
mathematicians after publication of the first edition. Rdl proofs are
given in
ans are . .....
some subsections of the last section and statements and -literature
citati
used In other subsections. :Many citations to older boolm on the
theory of functions
and functional analysis are.ornItted in this edition. This book is
intended fbr
mati
sclentifleworkers concerned with the theory of functions., matbe es
aspirants
instructors in university &ep
artments mechanicomathematical and in the pbysico-.
imthemiatical departments, of teacher-St. in8titutes, also advanced
-undergraduate
nathematics, stud-,nts.
TABLE OF Caffl-NM (abz1dge_d):L
Z~z
'Card 1/3 UDC.
51

aDpiwdatim i.-thkorew-: ford cic-isges of functiais and Indl., lcjtl~
365
~N?
C

ACC NR' AP6029031
SOURLCE CODE:
INVENTORS: Klimov, V. V.; Androyov, A, Ya.; Nakhodnova, A. F.;
Kozachanko, V. No;
Akhk-ozov, Ye. A.; Ivanov, Do Go; Didkovskaya, 0. So; Zvonik, V. A.
ORG: none
TITLE: A method for obtaining a piezoceramic material. Class 2-1, No.
183812
Zannounced by Donets Branch of All-Union Scientific Research
Institute of Chemical
Reagents and of High Purity Chemicals (DODOtskiy filial Vses6.vuznogo
nauchno-
issledovatollskogo institute khimichookikh reaktivov i osobo chistykh
khimichoskikh
voshehostv)-7
SOURCE% Izobrot prom obraz tov zn, no. 14, 1966, 42
TOPIC TAGS: piezoelectric ceramic, barium compound, lead compounds
calcium compoundo
titanium compound, sintered alloy
ABSTRAM This Author Certificate presents a method for obtaining a
piezoceramic
material from a mixture of barium, load, calcium, and titanium
compounds by sintering
this mixture. To lower the temperature of sintering this material.,
the above com-
pounds are used in the fom of nitric acid solutions of barium, lead,
calcium, and
titanium. This solution is atomized in a atream of air at the
temperature of 4OD-
500C. After this, the powder is sintered at the temperature of
800-1000C.
SUB CODE: 3.1/ SUBM DATE: 21May64
C.'d - I A mot 623...315.632:537.226.33-

YUSUFOV, A.G.; TYLIK, L.N.; AKHLAKOVA, R.
Some anatomical and pbysiological changes in
cuttings during
rooting. Flziol.rast. 12 no,43732-735 J1-Ag 165,
(MIM 18t12)
1. Dagestanskiy gosudaretvannyy universitet imeni
M.Lenina.,
Makhachkala. Submitted March 9, 1964.

AKHLAMOV,. E.A.
Course of anesthesia.in relatior to the system- of
autamzrtically con-
trolled.respiration during lung surgerT for- tuberculosis.
Vast khir.
93 no.9-.101-106 8 164. (MIRA 1;-.4)
1. Iz Donetskogo oblastnogo protivotuberkuleznogo dianpasera
(glavnyy
vrach - A.V.Poliyevich).

AKHIZBNNINSKIT, B.
Survey of articles dealing vith the lay of negation
published in the 'Vestnik' of Leningrad University.
Siul.SFO
1GU no.1:162-169 158. (MIRA 13:6)
Pialectical materialism)

BTCHKOV, V.P.; ILIINA, I.A.; M)NDRAT.IYEVP YU.I.;
Providing the crew of a spaceship with food of.animal origin.
Probl.kosm.blol. 1:145-151 162. (MM l5tl2)
(ASTRONAUTS-NU7RITION)

L 14263-66 EWr(I)/FS(4)-3- ~~__,.DD/RD
ACC HH: 003846 SOURCE CODE: UIR/2665/65/004/0DO/0107/0118,
AUTHOR; Abakumovaj,-I. Aq Akhlebininskiyp K. so; Dychkov, V,P.;
Dez;oehldha," 14. q.;
Kondratlyev, Yu# a
ORG: none
TITIE: Some data on the animal link in a-closed eco'lo~ical
Vstem
SOURCE: AN SSSR. Otdeleniye biologicheskikh nauk. Problemy
kosmicheskoy biolo~gii:
V, 4, 1965,, 107-118
TOPICIAGS: Closed ecology system, space nutrition, comm3rcial animal,,
animal
-husbandry
ABSTRACT: Dataw: n-th
-0 e animal part of a closed ecologic al.system such as might
i be'used in spa- iiifif igher pla~tg, animals,
cef (based- on unicellular algae. h
band man) are-piri~sented, Most of the information concerns chickens
and
'ducks, good choices because they mature fast, produce a sufficient
quantity i
i -of nutritious food- and have A high yipld of meat and eggs per unit
of feed.
'Comparative' analysis shows that to produce I kg of meat, and fat,
cattle
1,r~quiire approx'xnate~y..twic,e.a's.iruc.h-f.eed, and pigs 1. 5
times as much
Card 1/3

--l-L 14263-46
ACC NR: AT600846,
di
fee as.broi er chkkens'._:: FurthermorIe, new generations of
chickens.and
ucks ar
d
e easily raised by incubating fertilized eggs, and their offspring
'(taken together) weigh more than the offspring of other animal. T
The meat,
-,of chickens and ducks-has more-protein- and.is-pf n th
_RXW 0809 fth%* har e
-protein of other animals.- Calculati6ns are mad ,e of the'humber.
of- ducks re---
-quiredto: provide- a-cosmonaut With his daily requirement of animal
protein
J40-45-g), and tables, showing turnover of the flock are listed. For
instance,*
A
it"%6s concluded that 9 Peking ducks (40 days old)-will feed a
cosmonaut--
forl-month, Fifty eggs -are needed,f6r food and hatching in the same
period.
The dai od and water ment for this duck population is computed
1y fo require
together'with the amount of respired C02. Analogous comparative data
are
i listed for chickens* Charts of the nutritive content and caloric
value of.th
e
food vroduced.by chicke and du ks are included.
Itiscalculated that for lkcal of this food,
25.4kcalWifiiials.expended-
for a duck, and 22. 2 kciil. for a chicken. Of course, the needs of
other links
in the closed svstem will determine -whether chickens or ducks are
finally
-Bo have k
~choiienv. th anir6a16-- adva"pst .-.duc s~, for instance can be f6d
Card 2/3,

AKHLiE-STINA, M-S -
USSR/Fam Aninals. Honey Bee
Abe jour: Ber. zhur-Biol., No 4, 1958, 16889.
Author Akhleatize m.S.
Inst
Title Staininf. or smears for Nosemstosis of Bees.
(Okraska mzkov na nozenstoz pchel)
Orig Pub: Veterinarlya, 1957,, No 6, 68.
Abstract: A smear on the slide is stained by one drop
of
Loeffler' a blue or by one percent aqueous goka-
tion or =ethylene blue. The spores of Nose=
rensin unst"md and am veU seen 6n the blue
background.
Card
41

AKHLESTINA., Ye.F. ___
Mineralogical characteristics of Cretaceous sediments
in the
southeastern and of the Kerensko-Chembarsk uplift.
Uch.zap. 74:
257-260 160. (MIRA 15:7)
(Kerensko-Chembarsk Upland--Geology, Stratigraphic)
(Kerensko-Chembarsk Upaldn-Mineralogy)

AKHLIBINSKIY,_-Boxis Vladimirovich; K4kUNKO,
Nikolay Ivanovich;
ZUBEKHIN, P.T., red.; TIKHONOVA, I.M., tekhn.red.
[A marvel of our times] Chudo, nashego vremeni;
kibernatika
i problemy razvitiie,. Leningrad, LenizdAt,
1963. 137 p.
(MIRA 16:10)
(Cybernetics) (Philosophy)

,AXMBRISKIY. Boris V;g~~,b; KMIALENKO, Fikolay
Ivanovich;
~__. -, .-~' -.- - ~'- _f
idAKOV9 U. I. , red.; PRESNOVA, V.A., tekhn. red.
[... Plus chemicalizationl... Plius kbimizatsiia.
Lenin-
grad, Lenizdatj, 1964. 77 p. (MIRA 17:1)
(Chemistry$ Technical-Research)
(Agricultural chemistry)

AKHLY49V I.Ya.j BASALAM V.N.; DANILIZIKO, O.T.; ZAKHAROV, A.D.;
6-MKsm., V.ye:; YAKOVIEV, V.I.; KUZININA, V.S.,q red.
[Manual for navigators of fishing fle6ts; navigation of
fishing boats and sea fishery practices] Spravochnik du-
dovoditelia ryboloTnogo flota; promyslovaia navigatsiia
i morskaia promyslovaia praktika. Moskva, Pishchavaia
promyshlennost', 1965. 194 P. (MIRA 18:9)
1, Glavnoye upravlerdye rybnoy promyshlemosti Azovo-
Chernomorskogo basseyna (for Basalayev). 2. Polyarnyy
nauchno-issledovatellskiy institut rybnogo khozyaystva i
okeanografii (for Danilenko), 3, Mumanskoye vyssheye inore-
khodnoye U-Chilishche (for Yakovlev). 4. Gbsudarstvennaya
inspekt,siya bezopasnosti noreplavaniyA i portovogo nadzora
flota rybnoy promyshlemosti SSSR (for ZakharqO.

AMYUSTINt V. K.
"Inveatijation-of the Operation Cycles of Drive Mechanisms of
the SF,3-U Excavator.*
Cand Tech Sci, Sierdlovak Mining Inst imeni V. V. Vakhrushev,
Min Higher Education
USM, Sverdlovsk, 1954. (KL, No 1, Jan 55)
Survey of Scientific and Technical Dissertations Defended at USM
Higher
Educational Institutions (12)
SO: Sum. No. 556, 24 Jun 55

BELYKH, Boris Petrovicb; dotment;.CHUAIJOV. VasillY
Demidovich, inzII,:
AKRLYUSTIE, jXj,.-k4Vd.tekhn.nauk. retsenzent;
PZ7MT, I.P.,
-- Fo-tsent: KULAMV. S.N., inzh., red.; WCHKO,
Yu.V., red. izd-va,-
ZEF, Ye.14., takhn.red.
[Electric anginenAni'g in mines] Gornaia
elektrotakhnika,
Sverdlovsk, Goa. naucbno-teI.-hnAzd-vo lit-ry po
che-inoi i
tavatnot metallurgii. Sverdlovskoe otd-nis, 1958.
575 P.
(Ilectricity in mining) (MIR& 12:1)

ZIMN, A.P., dotaent-, Prininalt uoh"tjve:; AMMUSTIN,
V.K., kand.tekhn.
nauk; DOBROBORSKIY, G.A., starsbiY-j%MtrdftvatOj'#'4
IOU)QIOV, Tu,,A,,
assistent; OMMMTA, N.G., inzb.
Investigating tba performuce of industrial specimens of
dump
skips without skip dump traeks Itt the general mine
hoisting
systems; static analysis. 1vv.vy9.ucheb.zav.; gor.thur.
no.6:115-126 159. (MIRA 13:4)
1. Sverdlovskly gorrqr inatitr~t -Imeni V.V.Vakhrushava.
Rekomendo-
van& kafedroy gornoy makhaniki.
(Mine hoisting)