SCIENTIFIC ABSTRACT KARPEL, N.G. - KARPENKO, A.P.

• Document Type: CREST
• Collection: Scientific Abstracts
• Document Number (FOIA) /ESDN (CREST): CIA-RDP86-00513R000720820007-5
• Release Decision: RIF
• Original Classification: S
• Document Page Count: 100
• Document Creation Date: November 2, 2016
• Document Release Date: June 13, 2000
• Sequence Number: 7
• Publication Date: December 31, 1967
• Content Type: SCIENTIFIC ABSTRACT

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RUBINSHTM.R.B.; KAML'.P.G.
~
Using nomographic computation methods in the Dractice of spectrum
analysis. Izv. AN SSSR. Ser. fiz. 19 no.1:128-129 Ja-F '55.
(KIRA 8:9)
(Spectrum analysis) (Spectrometer)

KARPELI, Ya.D.; MOTYGINA, S.A.
Use of synchronous motors in the petroleum refining industry and In
petroleum chemistry. Prom. energ. 15 no.9:23-25 S 160.
(MMA 13: 10)
(Petroleum industr7--Electric equipment)
(Electric motors, Synchronous)

KARPELI, Ya.D., inzh.
Start network of synchronous motors. Energetik 12 no-3:25-26
Mr '64. (MIRA 17:4)

PRASLICKA, Mj T
A_XM, 7.; MUZ, L.
Effect of controlled hypothermia on survival and peripheral blood pic-
ture in mice an&xat.& following irradiation. Cesk. f.Ysiol. 7 no.3:284-
285 MaY 58..
1. Ustav biologie lek. fak. v Kosiciach a Ustav biofyziky GSAV, Brno.
(BWOD GELIS,
count, eff. of hypothermia in irradiated animals (Cz))
(RADLtTIOMS, eff.
eff. of hypothermia on survival & blood count (Cs))
(HYI-POTERMTk. eff.
an blood count & survival in irradiated animals (Cz))

USSR/Mathematics Modern Algebra 21 Aug 52
Matrices
CDO
VIClassification of the Simple Subgroups of Real Form
of a Group of ComiDlex Unimodular Matrices, 11 F. I.
Karpelevich, Moscow State U
"DAN SSSR" Vol 85, No 6, pp 1205-8
Considers the vectors x+iy (x, y in real Lie algebra
R) and associates with each real algebra R a complex
Lie algebra designated by [Rj, which is defined in
a real manner by the familiar commutative operation or
23BT90
imaginarie.c;. Algebra R is called the real form of
algebra Zt-7, following E. Cartan. Established theo-
rems relating these two algebras. Submitted by Acad
A. N. Kolmogorov I Jul 52.,
238T90
U

XWIevla, F. L Surfaces of traddavIty-of a geralsimple
subgroup of the group or motions of a stric M_ CO-
Doklady Akad- Nauk SSSR (N.5.) 93, 401-404 (1953).
(116ssian)
Tl~js work is based on the well known results of E. Cartan
on senli-simple groups. If T2 is a symmetric Riemann space
4negative curvature, its Mup of motions 0 is serni-simple
mid e iTstationary subgroup D 71s- a ~maxjma ~cmpa~,
t sub-
group of 0. Let C bp the Lie nig-,bra of 0 and p(g, h),
g, h c G, the Cartait ULvariant bilinear form. Let H be a sub-
space of G. The set of elements X of G such that V(X, h) = 0
for all h c H is called the orthogonal complement of H (in G).
Let 6~ be a semi-simple subgroup of 0 and 6 a maximal
compact subgroup of 6. Let 1~ and i1 be their subalgebras
and 2 the orthogonal complement of fr in 0. Then 0 is
canonically imbedded in G if there exists a maximal zzompact
subalgebra H of G such that RCH and kCX. The twor
theorems the author proves are as follows. Let 6 be canoni-
cally imbedded in G and let RCII and XCX. If M is a
point whose stationary subalgebra is Ir and S is the surface
of transitivity qf d, containing 411', then Z is totally geodesic
(with respect'to the metric fp(aj)). The other theorem
states that if 6 is a semi-simple subgroup of 0 then it is
canonically imbedded in 0.
/0

KAMLEVICH F.I.
--, 1, - I ~ "-- 111. 1-1 1 1 1 1
Simple subalgebras of real Lie algebras. Trudy Mosk.mat.
ob-va 4: .3-112 155. (K[,RA 8:7)
(Groups. Theory of) (Spaces, Generalized)

KARPELEVICH, F. 1. Cand Phys-Math Soi --(diae), __~groups of Lla!s
I(SU
groups and homogeneous egpsswea6-vfl- space.V Mos, 1956. 3 pp 20 cm. (Mos Order
of Lenin and Order-of Labor Red Banner State U im M. V. Lomonosov. Meohan-Math
Fawalty), 100 copies
(KL, 7-57, 104)

A W_ "Z V 1_7
SUBJECT USSR/MLTR M TICS/Topology CARD 1/1 PG - 990
AUTHOR KARPHLEVICK F.I.
TITLE -apaoe of homogensou7,;paoes.
PERIODICAL Uspechi mat.Nauk 11, 3t 131-138 56)
reviewed 7/1957
The principal.resul-t of the present paper is the proof of the following
theoremi The factor space a/k, where G and.H are seni-aimple group.apaces
ca'a be. fibred homogeneously. liere the fibres. are Euclidean- spaces and the
basis is a space.K/P, where K and.P are maximal compact.subgroups of a and H
respectively. After some consi-derations and definitions on the fibre space
of group spaoes.the author introduces the essential.notion of the generalized
Grassmann space. This is.the.totality k3j of all totally geodesic manifolds
S of a symmetric Riemannian-3pace of non-positive curvature, where the S are
obtained one from another by the.transformations of S. Now it is shown that
every homogeneous space M with a semi-simple motion gro G can be mapped
homomorphically onto such a generalized Grassmann spaceUIS1 . The above
mentioned theorem then follows in essential by showing at first that fS1 can
be fibred in the above manner.

,n p
and :-A,~'., :-1;,-:7-1 CIF.
F.T
I I'LE: Zonal Spherical Functi.~)ns %nd- c C,'-.
metric Spaces
Laplasa na np,',.otor~-kh frostranst-vakh).

PZHIODICAL: Dol-lady Al-ade:j-;, -115-.'~ 7"01 113
P-. 0- 1
1
,
,
A -7,3T Il, A C T Let IM- G/111 be a homot.,enpous space with compact
subCroup 11. As a Laplace operator on M :--crorlln- to
[Hef.1] a difforontial oper-tor a is J,not-,' .,11 'ielh'c or.71 it 2
with the tra,,iqlation o:,-er,,ttors. Let R be the Tn~--nifold cf
functions on )TL are coristant or,, "he trans-4tivity sur-
faces of the suh.'~-rouo 11. Each Laplace onerator induces a cc,-r-
tain differential operator on 11; -illis i; denoted a~i the ra--
dial Dart of 6. , in symbols Let the space X+ (11

be the manifold of the 1--dimensional. sub3paces of the ii-li-
mensional complex space; let ),V(,- be dual to ac..
n , I-
cording to Cartan and finally let )ALO be the sDace of ~M
n,k
complex matrices with k-lines and n-k rorrs. in the present,
paper the author calculates the A of the LaDlace or~~vitorszj
and the zonal spherical functions belon.-ing to the -irredu-
I.-Ird 1/2

tonal Spherical Functions and Laplace Operators on Some Sym- 20-118-1-1/56
metric Spaces
cible representations in the spaces 'N + and
0 n,k ' kn,k
n,k - 1 Soviet and 1 foreign reference are quoted.
ASSOCIATIONt Moskovakiy -osudarstvennyy universitet imeni ?,!.I!.Lomonosova
U
(moscow state University imeni 7-.V.Lomonosov)
P_R_'-':MNTED: June 24,1957 by P.S. Aleksandrov, Academician
SUBI.ITTED: June 21,1957
AIAILADLEt Library of Congress
Card 2/2

16(1) MAZE I BOOK EXPEA)ITATION sov/.x-,60
V"sOYuZZnY7 matematicheakly a2yezd. 3rd, Moscow, 1956
Trudy. t. 4z Xretkoye noderzhanlyc acktatonny1ch dokladov. Doklady
imostrannykh uchonykh (Trannactionz of the 3rd All-UnIon
tic ALL Conference in Moscow. vol. 4; SummarY Of Sectional Reports.
Reports of Foreign Scientists) Koo~ow, lzd-vo AN SSSR, lq:~9.
247 p. 2,200 copies printed.
Sponsoring AZency; Akademiya nauk ASSR. Hatwizatichookly In.titut.
Todh. Rd.s G.M. Shevchanko; Editorial Board: A.A. Abramov, V.G.
boltyan3kly, A.R. Vasil-yov, B.V. Nedvadev, A.D. Mychkin, S.K.
Mikol-okly (Resp. Ed.), A.G. PostnIkov, Yu. V. Prokhorov. K.A '
ftbrLSkow, P. L. 011yanov, V.A. Uspenskly, X.G. Chotayev, 0. Y..
Shllov, and A.I. Shirshov.
PURPOSE. This bobk In Intended for methematiclans and physicists.
COVURAM: The book to Volume rV or the Transactions or the Third All-
Union Mathematical Conference, held In June and juiy 1956. -no
"In. P - a. The first part contains a=-
marine of the papers presented by Soviet scientists at the Con-
f:renc. that were not included Ln the first two volumna. The
.cond part contains the text or reports submitteti to the editor
by non %ol tat scientists. In those cases when the non-Soviet act-
ontist did not submit a copy or his paper to the editor, the t it 1a
of the paper to cited and, ir the paper was printed in a Previous
volume , r`e forence is made to the appropriate volume. The papers,
both Soviet and non -,Soviet, cover various topics In number theory,
algebra, differential and integral equations, function t eary,
functional analysis, probability theory, topology, mathematical
problems or mechanics And physics, computational mathematIcs,
mathematical logic And the fourtestions or mothemattes, and the
history of mathematics.
_K_-X2_-I0vicb, 7.1- (900cow). Sevt1slaple subgroup& of real
MW - - ---------- -_ 10
jhrb~ vcrdlOVsk). Solvable equations of prime
ovror~ ~V-A 5
Mukhamnedzhan, Ich. Kft. (SvardlOvsk). On the theory of in-
12
-!qrktn,j~m~(Koscow). Rings as "to with one operation
wubjected to a single Identity 13
3ectlm on Differential and Integral Equations
1KAz&n'). Integral equAtIons of Inverse
'boundary value problems 14
Win2j;rx4_2~~Koscow) On the upper bound of characteristic
_U01ces In small p*rturbations 14
shik x-r. Roscoe). Solution of boundary value problems
roin-elih ~Kl;tr;a In e-rt,l, n-,1-1 14
y

5
16(1),16(2) 05794
AUTHORS: Karpelevich,F.I., Tutubalin,V.N., and Shur,N.G. SOV/52-4-4-5/13
.Limit Theorems for the Compositions of Distributions in the
TITLEs
Lobachevskiy Plane and Space
PERIODICAL: Teoriya, veroyatnostey i yeye 5rimeneniya, 1959,
Vol 4, Ur 4, pp 432-436 (USSR
ABSTRACT: The authors investigate random variables in the Lobachevskiy
space or plane L. The Borel measure is called symmetrical
if for every Borel set r and every rotation h around the
coordinate origin 0 it holds: 44-(hrl -_,Ac ((I), The composition
(r) is defined by Ir),,A,&2(ax), where 9
/WI *)V'2 S,~-, (,Ix- x
L
is a motion in L which transforms 0 into the point x.
Theorem 1: Let ?(vt) be a bounded zonal spherical function
(Compare f-R-f 2-7). Then ST(q)'Io., (dx)
j'P(9)P'2 (dx), where ~-3(0,x) is the noneurlidean distance
Card 1/3 between 0 and x and )'1' P-2 are symmetrical measu-.res.

05794
Limit Theorems for the Compositions of Distributions 3OV/52-4-4-5/13
in the Lobachevskiy Plane and Space
Definition: the function f(9) is called 1,1
characteristic function of firs Tind for the finite symmetrical
measure /,%,, OlerepVA) -tA. 'X;5(0,X)C-Aj)~
Theorem 2: Let A,--.n be a sequence of symmetrical measures,
P-n (L)t!5il; let its characteristic functions converge to f(g),
Then "A-n converges weakly to a measure ^tbe characteristic
function of which is f(3 ), where /tA~L),,-- 1 ~
Definition: f ~ is called a characteristic function of
second kind. -fo
Theorem 31 If g n(_q) converges to g(g), if lim h(r,-) - 0 and if
c0
h(~)' d~), then the measures,~,r converge weakly
0 0
t 0
Card 2/3

6
05794
Limit Theorems for the Compositions of Distributions SOV/52-4-4-5/13
in the Lobachevskiy Plane and Space
Definition: Let the dispersion of ,"^-be
D(JA-) -0 f (0)
is =f0
It holds
DVtl~~2) - D(p~,) + D(/A,2)
Theorem 4 treats the convergence of the sequence
~'n,1*A'n,2* ... *P"n , k
The authors mention N1 Ye.Gertsenshteyni and V,B.Vasillyev,
There are 2 Soviet references.
SUBMIT7ED: December 25, 1958
Card 3/3

16(1)
AUTHOR: Karpelevich, F.I~ SOV/20-124-6-5/';~
TITLEs Geodesics and Harm-orlic Functions on Symmetric Spaces (Geodezi-
cheskiye linii J_ garmonicheskiye funktsii na simmetricheskikh
prostranstvakh)
PERIODICAL:' Doklady Akadem-4i nauk SSSR,1959,Vol 124,Nr 6,pl; 110.9-1202(USSR)/
ABSTRACT: Let G be a connected semisimple Lie group, K its maximum com-
pact subgroup and YZIthe homogeneous space G/K. With respect to
the invariant metric Zq is a symmetric Riemannian space with
nonnegative curvature. Let the distance ~ 2) between two
geodesics ~,, and jf~"2be definei in a natural way. The set of
the geodesics, the distance of which from ~, vanishes:
JQ,~,)=O is denoted as the zero bundle with the geodesic ~0.
Let the sDace 'P of these zero bundles be considered. Let
~p (FO) be the set of the zarr_- bundles f' , for which 9 (1-,,F)