SCIENTIFIC ABSTRACT TUMARKIN, D.D. - TUMARKIN, G.TS.

• Document Type: CREST
• Collection: Scientific Abstracts
• Document Number (FOIA) /ESDN (CREST): CIA-RDP86-00513R001757420019-5
• Release Decision: RIF
• Original Classification: S
• Document Page Count: 100
• Document Creation Date: November 2, 2016
• Document Release Date: March 14, 2001
• Sequence Number: 19
• Publication Date: December 31, 1967
• Content Type: SCIENTIFIC ABSTRACT

(AD
KI T%T ,M ."
L,U,
M
L, 4j Ij a
"K voprosu o pric'ninak-h vy--i--a-rLiya korennogo naseleniva Gavp-ysk~'~--
v kontse XVIII-XDC v. 11
report submitted for 7th Intl Cong, Anthropological & Ethnological Sciences)
Moscow~ 3-10 Aug 64.

lp
TEMKIN, L.Ye., inzhener, redaktor; Inzhener, redaktor;
TOKER, A.M.. tekhnicheskiy redaktor.
[Temporary specifications for reinforced concrete pipes and
prestressed risers and unions (TU-67-51). Instructions on calcu-
H3PTI
lations for prestressed reinforced concrete rising mains (U-96-50)i
HSPTI
Vremennye tekhnicheskie usloviia na truby zhelesobetonnye predvari-
tellno napriazhannys napornye i eoedinitellnye mufty k nim (TU-6Z-51).
MSPTI
Ukazaniia po raschetu zhelazobetonnykh predvaritellno napriazhennykh
napornykh trub (U-96:;50). 2-e izd. Moskva, Goo. 12d-vo lit-ry po
KSPTI
stroitellstvu i arkhitekture, 1952. 62 p. (MLRA 8:2)
1. Russia (1923- U.S.S.R.) Ministerstvo stroitellstva -Dredpriyatiy
tyazheloy industrii. Tekhnicheskoye upravleniye.
(Pipe, Concrete)

TIKHORIROV, G.S.; DRSOV, A.Ye.. doktor tekhnicheskik-h nauk. laureat
Stalinskoy premii, professor, redaktor; GAMIN, Ya.G., kanclidat
tekhnicheakikh nauk. not Vy redaktor; IZRALWYICH, N.Te., inthener
_ Auzhener, redaktor izdatelletva;V
redsktorj%2MM3 A 0 1
jj - OR N N,
K.P., tekhaicheskiy redaktor
[8#0utific works of the Central Scientific Research Institute of
In(144trtal Gonstruction published during 25 years (1927-1952); an
annotated bibliograpby] Uchanye trudy ToNIPS za 25 let (1927-1952);
oborntk onnotateii. Soot. G.S.Tikhomirov. Pod obahchei red. A.B.
Daeova'O Moskva, Goes izd-vo lit-ry po stroit i arkhitekture, 1952.
286 p. (HLRA 901)
1. KoocoVe TSentrallayy nauchno-isoledovatel'skiy institut
pronWohlonnykh sooruzhenty.
. (Bibliography-Building)

GERVER, A.V., inzhener, redaktor; TUMARKIN,,D.M., inzhaner, redaktor;
TOM, A.M., tekhnicheskij, Yiaaktor.
[Instructions on the application of effective procedures in steaming
concrete and reinforced-concrete parts (with shortened steam-feeding
periods) Instruktaiia po Primeneniiu effektivnykh re-
zhimov proparivaniia betonnykh i zbele2obstonnykh ixdel11 (9 sokra-
shchennym periodom podachl para) (1-173-53 . Moskva, Goa. izd-vo lit-
MSPTI
ry po stroit. i arkhitekture. 1953. 13 P. (MLR& 8:?)
1. Russia (1923- U.S.S.R.) Hiniaterotvo stroitalletva. Tekhnichaakoyo
upravleniye
(Cone;ete construction) (Reinforced concrete construction)

TWIN, L.Ye., inzhoner, redAktor; TUMARKIN, D.M., redAktor; TOKER, A.M.,
tekhnicheekly reduktor.
(Instructions on manufacturing and accepting reinforced-concrete
larga-panel slabs to be used as floors of industrial buildings]
Ukazanila po isgotovlenilu I priemko sholezobetonnogo kmpnopanall-
nogo nast U& dlia pokrytii promyshlennykh zdanii U-118-5'_2 . Xo-
XMI
skya. Goa. izd-vo lit-ry po stroitel'stvu i arkhitakture, 193). 19
[XIOrOMM3 (MM 8:2)
1. Rassia (1923- U.S.S.R.) Ministeratvo stroitallstva. Takh-
nichaskoysupravlenlye.
(Reinforced concrete construction) (Floors)

TUMARKIN, D.M., redaktor; TOKXR, A.M., tekhnicheskiy redaktor.
[Directives on the manufacture of cement fibrolite (U-100-53)]
MSPTI
Ukazaniia po izgotovleniiu teementnogo fibrolita (U-100-51)
MSPTI
Moskva. Goa. izd-vo lit-ry po stroit. i arkhitekture, 1953. 19 P.
(MLRA 8:2)
1. Russia (1923- U.S.S.R.) Ministeretvo stroitalletva.
(Cement) (Building materials)

MUCHNIKOV, T.M.; LIVANTOVSKIY, Vol., nauchrqy redaktor; TUMARKIN,, D.M.,
redaktor; DAKWOV, V.S., takhnichookiy redaktor;
tokhnichookiy redaktor
(Some methods of calculating vibrations of elastic systems under a
moving load3 Nekotor7e metody rascheta uprug1kh sistem na kolsba-
nile, pri podvishnoi nagruzko. Moskva, Goo. izd-vo lit-ry po strol-
tel'stvu i arkhttakturs, 1953. 130 P. (Kicrofilml (MLRA 7:10)
(strains and stresses) (Vibrations)

FASURNAK, F.L., professor, doktor takhnicheakikh nauk; AVAKOV, A.I.,
kandidat tekhnichaskikh nauk; BXaDIC.U7SKIY, G.L. kandidat
tekhnicheskWh nauk,-, PIKHAT-W11, K.Y.. kandidat tekhnichaskikh
uauk; X&DUDIN, L.Ya.. tekhnicheakly redaktor; TUMMIN, D.K..
Inzhener, redaktor
[Prefabricated roofs made of prestressed composi'%-Fe girders and
panels for industrial buildings] Sbornye pokr7tita promyeblennvkh
zdanii iz pradvaritellno tapriazhennykh balok i panalsi kompleksnoi
konstruktaii. Moskva, Goo. izd-vo lit-ry po stroitallstvu i arkhi-
tekture, 1954. 63 P. (MLRA 7:8)
(Roofs) (Concrete, Prestresned)

VOYUTSM, Sergey Sergeyevich, professor, doktor khimicheskiy nauk;
SETARKH, Bella VUdimirovua, kanlidat tekhnicheski7 nauk; ZUXARKIN,
D.L. redaktor; PMV. A.T., redaktor; 111KRASOVA, O-Lt tek~
'"Rl-redaktor
a
[Pbysics and chemistry of film formation processes in high polymer
dispersion] Yiziko-khtmila proteessov obrazovanila plenok Is disperaii
vysokopolimerov. Kbak7a, Goa, nauchno-tokhn. tzd-vo Ministerstva
promyshl. tovarov shirokogo potroblenila SSSR, 1954. 174 p. (MLRA 8:3)
(Films (Chemistry))

/A
KHANITHN, A.R., professor, doktorte~cbe-skikhnauk-; r-o&aktor--,--AFANASIYXV,
A.M., kandidat takhnichaskikh nauk nauchny7 radak-tor- TUKARKIN D M
Inxhanar, rodaktor; MEDVEMY, L.Ta., tekhnicheskly re,-A.r4.r-
[Studies on structural mechanics; collection of articles] Iseledovantia
po stroitellnoi makhanike; abornik statai. Pad rod. A.R.Rzhanitsyna.
Moskva, Goo. izd-vo lit-ry po strott. i arkhitakturs, 1954, 197 p.
OILRA 6:3)
1. Moscow. Wentrallm7 nauchno-ianledovatellskly institut promyshlon-
nykh soorusheniy.
(Mechanics, ApplIed)

IN Vj 11-~
LUNEV, VA., inshener; BTCIIKOV, D.V., professor, doktor takhnichookikh nauk,
rodaktor; IYANOV, G.M., kandidat tokhnichookikh nauk, reteensent;
SMVSKIT, V-V., kandidat teldmicheskikh nank, reteenzent [deceased];
AFANASITIff, A.M., kandidat takhnichaskikh nauk, rodaktor; OMURA_*,.
D.M., inzhener, redaktor izdatelletva; K9DVZW , L.Ya.. to niche-
-bla~";r'edaktor
7
(Technical mechanical Takhnichoskaia makhanika. Pod obshchei red.
D.V.Byahkova Moskva, Goo. izd-vo lit-ry po stroit. t arkhitekture.
Pt.2. [Resis;ance of materials] Soprotivlenie materialov. 1954.
226 p. (MLRA 7:9)
kDeformationg (Mechanics))

r, A / /V
RABIR011IGH, Isaak Hoioeyevich, doktor tekhaicheakikh nauk, professor;
BELMOV, N.L. professor, doktor tekhnicheskikh nauk, retuenzent;
KIS3UV, V.A., professor, doktor tekhnicheskikh nauk, retesaxent.
SNITKO, I.K., kandidat tekhnicheekikh nauk, nauchnyy redaktor;
TUMMIN, D.M., redaktor; SMOLIYAKOVA, M.Y., tekhnioheekly radaktor.
(Course in the structural mechanics of bar systems] Kure stroitell-
nol mokbaniki oterzhuavykh slotem. Part 2. [Statically indetermina-
te systems] Staticheski. neopredelimye aistemy. Izd. 2-e, perer.
Moskva, Goo.isd-vo lit-ry po stroitelletvu i arkhitekture. 1934.
543 P. (MM 7:11)
1. Chlen-korrespondent Alcadcmii Nauk SSSR (for Rabinovich)
(structures, Theory of)

GVOZDZV, A.A., professor, redaktor; RABINOVICH, I.M., professor, re-
daktor; YIWNMO-BORODICH, M.M., professor, redaktor; AFARM ITXV,
A.M., kandidat tekhnicheskikh nauk, nauchnyy redaktor; TWARKIN, D.K.,
inzhener, redaktor; SMOLITAKOTA, N.V., tekhnicheskly redaktor.
[Research on the theory of structures] Iseledovaniia po teorii sooru.-
zhenii; sborulk statet. Pod red. A.A.Gvozdaya, I.M.Babinovicha, M.K.7i-
lonenko-Borodicha. Mo.skva, Gos. izd-TO lit-ry stroit. i arkbitektury.
Vol. 6. 1954. 570 P. (MLBA 7:11)
(Structures, Theory of)

, I ~_ '_ -I 'v
LA 'V/ /.~- I A1) ) jy 4pz , /.
GVOZDNV, A.A.. professor, redaktor; RABINOVIGH, I.M., professor. redaktor;
YIWNMO-BORMIGH, 4.M., professor, redaktor; AFAMASOYMY, A.M., kan-
didat takhaicheskikh'mak; nauchnyy redaktor; TUKARKTLN, D.M., inzhener,
redaktor; SMOLITAKOVA. N.V.. tekhnicheskiy
Studies In the theory of structuras; collection of articles. Issledo-
vanita po teorii sooruzhenii. Sbornik siatei. no.6:5-511 '54.
(MLHA 7:11)
(Structures, Theory of) (Strains-and stresses) (Elastic plates
and shells)

TUMARKIII, D.M., inzhener, redaktor; DAXMIOV, V.S., tekhnichook-iv redaktor
"W. A
[Instructions for the planning and design of supporting structures
under machinery with dymamic stress] Instruktaila po proektiro-
vaniiu i raschetu nesushchikh konstruktait zdanii pod mashiny a
kinamicheskimi nagruzkami I-200--~~. Moskva, Goo. izd-vo lit-ry po
MSFMKhP.
stroit. i arkhit., 1955. 125 P. (MM 8:7)
1. Russia (1923- U.S.S.R.) Ministerstvo stroitel'stva predpri-
yatty metallurgichaskoy i khimichookoy promyshlennoeti. Tekhniche-
skoye upravleniye.
(Machinery-Vibration) (Building)

'A
MIKHAYLOV,K.V.0 kandidat tekhaichookikh nauk, redaktor; TUXMIII,D.M.,
redaktor; PMRS(N,K.N., teldiziehsBkly radaktor
[Use of assembled reinforced concrete construction in industrial
buildingJ Primenexie aborafth zhelezobat=Vkh konstruktaii Y
proaWshlensom stroltelletys. Moskva, Gos.izd-vo lit-x7 po stroitell-
otvu i arkhitakture, 1955. 185 P. (MIRA 9:3)
1. Nauchno-tekhnioheskoye obehchestvo strottellnoy pron7shlennosti.
(Reinforced concrete construation)

v')
NIKIFOWY, Sergey Hikolay6vich, professor, doktor takhaichookikh nauk
.ILIYUSHIM, A.A., professor, doktor fiziko-matematichaskikb nauk
retsenzent; BEZUEWV, N.I., professor, doktor takhnichemkikh
nauk, retsenzant; AFANASIYEV, A.M., kandidat takhnicheskikh
nauk, redaktor; TOW KIN, D.M..,inshener, redaktor; KMNEW,
L.Ya., tekhnichegkl')~'i~Aftktoi- VOLKOV, V.S., takhnichaskiy redaktor.
0
[Theory of elasticity and plasticity) Teoriia uprugosti i plastich-
nosti. . Moskva, Gos.izd-vo lit-ry po stroitel'styu i arkbitakture,
1955. 284 P. (MIRA 8:12)
1. Chlsn-korres~ondmnt AN SSSR (for Illyushin)
jElasticity) (Plasticity)

OSIPOV, Lmv Georgievich, kandidat takhnicheakikh nauk; TUFM 1, N.A.
dotsent, rateenzant; TREPKIMIKOV. R.I.. kandidat takhnichookikh
nauk, redaktor; UKe.RKIN D.H.
inzhener, red&ktor; TOM, A.M.
tmkhnichnskiy rodaktor.
[Building] Strottmllnon delo. Izd.2-on parer. Moekva,Gos.izd-vo
lit-r.r po stroital'stvu i arkbitekturs, 1955. 390 P. (MIRA 9:1)
(Building)

USHAKOV"F V* , k' ndidat tekhnichookikh nauk; KAUFW. B.N., kandidat tekhai-
chaskikh nauk, nauchnyy redsk-tor;-TUMARKIN. D.M., redaktor izdatell-
stva; BORODIRA, I.S., redaktor izda-fiiI9ft-v%7r-GUMA,S.S., tekhniche-
skiy redaktor
[Thermotachnical properties of large panel walls) Teplotakhnichookie
evoistva krupnopanellnvkh sten. Moskva, Goo. izd-vo lit-ry po stroit'.
i arkhitakture, 1956. 102 p. (MLRA 9:11)
Wallo

VOLOZHINSKIY, A.V.. professor, redaktor; SHVARTSZAYD, M.S.,~k&ndidat
tekhnicheskLy nauk, redaktor; IVANOT, O.M., kandidat tekhnicheskikh
nauk, nauchn37 redaktor; TUXARKIN, D.M., inzhener, redaktor
izdatell stva; VOLKOT, V.S., --teMMITe"itkiy redaktor; HELINICEZNKO,
F.P., tekhnicheskiy redaktor -
[Autoolave materials and articles; a collection of articles]
AVtoklavnye materialy i izdeliia; abornik statei. Pod red. A.V.
Volzhadskogo i M.S.ShvartBzaida. Moskva, Goa. 12d-vo lit-ry po
stroit, i arkhitekture, 1956. 125 P. (MLRA 9:7)
1. AkadOmiya arkhitektur7 SSSR, Moscow. 2. Chlen-korrespondent
Aktviemft arkhitektur7 SSBR (for Vo'lzhenakiy)
(Autoclaves)

KAIMAKOK, Aleksandr Solomonovich. kandidat takhnichookikh nauk; AYAKASIYBV,
A.M., kandidat tekhaichoskikh nauk. nauchnyy redaktor; MIXIM-A
-W..K,,.,redaktor izdatelletva; GIJSZVA. 3.S., tekhnichaskiy redaktor
[The ealculation of wall beams) Rashchat balok-atenok. Hoskya, Goo.
izd-vo lit-ry po stroit. t arkhitakture. 1956. 145 p. (MLRA 9:9)
(Girders)

ICHRVSKIT, G.I., kandidat tekhnichaskikh nauk, redaktor; XNWIN, D.M.,
Inxhaner, re"ktor izdatelletva; TOUR, A.M., takhnich0eii
tY
PXRSOK. M.N., takhaicheskiy rectaktor
[Precast reinforced concrete; an annotated bibliography of literature
published from 1949 to 1954-.Soviet and foreign literature in books
and journals] Sbornyi shelezobeton; annotirovannyi ukazatell lite-
ratury za 1949-1954 gg. Otechestyennaia I Inostrannala knizhnata I
shurnalinaia literatura. Pod red. G.I.Mardichevskojo. Moskva, Goo.
Izd-vo lit-ry po stroit. i arkbitakturi, 1956. 229 p. MIRA 10:3)
le Moscow* ?Bentralinaya aauchno-takhnichookaya biblioteka po
atrottelletvu.
(Bibliography--Precast concrete)

STRZT, TSKIY, Nikolay Stanislavovich; SIDCROV, V.N., Inzhener, nauchn"
radaktor; TUMAMN, D.M., inzhener, redaktor isdatelistva;
PARSON, redaktor
[Materials for a course in steel constructinnelemantal Haterialy
k kursu stalinykh konstruktaii. Moskva, Goo. izd-vo lit-ry po
troit. i arkhitakture. No.l. Dba work-of-steelin building
tructures] Rabota stali v stroitallnykh konstruktsliakh. 1956.
:
323 P. (MLRA 9:9)
(Steel, Structural)

R7MNITSYN, A.P., professor, doktor takhnichookikh nauk; AFANASIYXV, A.M..
kandidat tekhnicheskikh nauk, nauchnyy redaktor; AKI5
redaktor izdatellstva; BORODINA, I.S., redaktor izdate;-N-18-hv-Dairj~.'
MOVYMV, L.Ya., takhnicheskiy redaktor
[Studies on problems of construction mechanics and the theory of
plasticity; a collection of articles] Issledovaniia po voprosam
stroitelinoi makhaniki i teorii plastichnosti; abornik statei.
Pod red. A.R.Rzhanitsyna. Moskva, Goo. izd-vo lit-ry po strolt. I
arkhitekture, 1956- 326 p. , (MIBA 9:9)
1. Moscow. TSentrallnyy nauchno-isoledovatellskiy institut
promyshlennykh sooruzheniy.
(Plasticity) (Mlasticity)

PIKOVSKIY, Alekeandr Alekoandrovichs, TUKARK;Ht D.H., red.; YERMAKOVA,
Ye*A,, tekhn.red,
[Statics of structural frames vith compressed elements]
Statika aterohnavykh sintem ao'ezhatymi elementemi. Nockva,
Goesizd-vo fialko-matem.lit-ryo 1961. 394 p.
(MIRA 14:4)
(Stractuxal frames)

DMITRIYEV, Alsiksandr Semenovicb, kand.takhn.nauk-, SEMENTSOV, Sargey
Adrlanovich, kand.tekhn.nauk; ONISHCHIK, L.I., prof., doktor
tekbn.nauk, red.; TEROMIN, D.U., inzh., nauchn7y red.;
'SLIKIlUt, E.M., taRONT.M.- It
[Plain and reinforced masonry elemental Kamennys i armo-
kamennya konstruktsii. Pod red. L.1. Onishchika. Moskva,
Gos. izd-vo lit-ry po stroit., arkhit. i stroit. materialam,
1958. 190 P. (MIRA. 11:12)
(Building blocks)

'BEREEZINSKIY,.Aleksandr Rafailovich.- prof.,,doktor taklin.nauk; OSIFOT,
Lev Georgiyevich, dotsent, kand.takhn.nauk;
Inzh., nauchnyy red.; ELIKIIIA, E.M., tokbn.red.'
[Civil-ongine'ering, industrial, and hydraulic structures]
Grazbdanakie, prm7shlennye i gidrotekbnicheakie sooruzbeniia.
Mosk7a, Goa. izd-vo lit-ry po strolt., arkhit. i stroit.
materialam, 1958- 300 P. (MIRA 12:1)
(01711 engineering)

094114994 06 goes** 0 0 0 e fo t- q 0
o a 0 0 0 0 0 0 a 91 04 0 W
-* 1 j
0 3 A 5 0 1 k, Is 12 11 W is Is 11 U is a I ZI a a Is to 1% U 33 JA J& 16 V a go 41 it $I iij 43 0
k
0
A11
OS ;, A to
-L-21-L- f-6 M I I L. A -A IA A T -L-AA, M (X 00 AL ..
AJ
f
o
dim-t& -t-b,
g Purity of caffulose view Imiliedutioly before the dons.. the circuit is adjusted

lli
li
h
I
i
f
h
h
"j
B
"

t - _
rating. DowrSTA"dosta of this trUS94 and whitsiteas
ran Sin& cvnqt.
t
ntens
a
ol
nson t
.
ty
tie
e p
g
y
the same ecomsiller and 11N)
vol
the li
ht all%wited to
00

l cellakest itillations is fthfiurk aclil Id tha old of the
g .,
.
g
y
them can lie di"attled. Since the light trantormited
*0 S;;! (selsshisal plocoolocitric coll. A. P. Zakoshchikov and thr,pulgh a oiloortil iurbid w4n. is wrakenind Istoth toy ill%. -00
so
i ipV#; ~Orj. Ckow. Ind. (t% S. S. Ft.) 1. 4(4
-29
76371-1
row
l
h
A
i prTiton sail almorpikort. the turbidity itransposterwyt is

ll .-
ous
(
oo prev
n,
y s
c
.
-
tictd. by exanig. the soin. before anti after the qepn.,)f 1
-11119
1~ cirms-ostructure
cvllu.W materials contain weighable in".
- with V(A Sime the "n. (phottifilfwrl is not decokortsed 00
I (1) that rrstat the destructive action of mech.
elerliTnts for VtO, the procrtlurr gives aho the value Of the cattle .
and chert. Iturts employed in the fitiVewl 01 rerming and initlixityrit the wiln. Five suivemlyr detus. otatpocciumn .049
is
00 it
suilm I presence of the
oorlmrit enroysts!or; Into esters. Th fire made by Addirig 10) er. 11,11) to a 4(an. (at 2 g. fintero;

08
00 Fit is One Of the
suKocrided I In the oollus. of cellulose es" in 10 cc. ill 93% 119S0# and then filter ing thrtough a glass
causes (4 the Incdequate transparency iturbillity) of tht filter No. 1. ji-led at the bottoms with it U.-I 0-3mes E -E
INSTITUTION: Ordzonikidze Inst. of geology, Moscow.

Card 112 P,
7
Authors -Y, 19.
Title I On sequences of with uniformly bounded areas of
nn surf
H i
Fe %- i od vt 1 i j
kbstract I nZ
....... n~' ie of tr~~, c'- r ce 7
p r e iet
Tn AA tut -)n Mos=t ln,~" -reni 'Prgo Ord-zhor-i'-Ize
PT.c,,:ent(-d by: AcA.-ep!J-c,~an 11. t r 'J55

*LLJ(;.,, , , 1, , ! 'I' , , , ; ~,
I - , , :, - . - - -
: - 11 ?
uhera I I I ~ is an aro., of a Riemannian -,urf -ice an which th. t -
A -, *,:- -:-- t Ax r j (! !~;.nc i C "
Fi%w r-"f-T---
1'(Z) mapf, thc Circle I Z 14 1

I - 1 r j, 'i . - / -t -, ---1 ~-..-- ,,
z
MARKUSHEVICH. Aleksey Ivanovich; TIKHONOVA, N.P.,redaktor; TUMAUIN, G.Te.
rodaktor;BEGRIMOVSKAYA, R.A..tekhnicheskiy redaktori.--aw"Ovraftawwwj,
[Short course in the theory of analytic functions] Kratkii kurs
teorii analiticheskikh funktsii. Moskva, Gos. izd-vo takhniko-
tooret. lit-ry, 1957. 335 P. (MMA 10:5)
1 (Functions, Analytic)

AUTHOR: Tumarkin, G.Ts. 39-1-5/5
TITLE: Mean approximati-o ns to functions on rectifiable arcs.
(Priblizheniye v srednem. funktsiy na spry,-m1yayemykh
krivykh)
PER10DICAL: "Matematicheskia Sbornik" (Mathematical Symposium),
195?., Vol.42 (84), No.1, pp. ?9-128 (U.S.S.R,)
ABSTRAOT: The functions considered are complex. In the first
chapter is considered a mean, weighted approximation to func-
tions f(t) defined on the segment (OV i of the real axis
by linear combinations of the syste (n
I'm , ~7
Lot a(t) be a non-vianishing function of bounded variation
in (o, 21rf) . If f(t) belongs to LP(do; o, 21r) (p> 0)'
a sequence Vk (eit)j of linear combiA4tions of a system
n (e it) = co + cle it + 009 + one int
card 116 can be found such that:

39-1-5/5
Mean approximations to functions on rectifiable arcs. (Cont.)
it
k4if (t) - n,,(e I Pdo(t) = 0
0
then it is said that f(t) 10 -,s to the closure of a
jUsa,T segment of a system einl in TP(da; o, 2rr).
,~e
Kolmo6orov (8) and Kreyn (10 for p = 2 and Akhiezer (1),(2)
for p '
,tIL I have proved that the necessary, ajad sufficient
condi-tfo'n f or the closure of the system e Int)
LP(da; o, 2TT) is that: in
1n. c' (t)dt
It is pro-ved in this paper that this condition is necessary
and sufficient, if the closu--e of the system is true for any
p ~>O intj
card 2/6 The closure of the linear segment of a system ie in

39-1-5/5
Mean approximations to functions on rectifiable arcs. (Cont.)
spaces IP(da; o, 2-M) in which the system is not- closed and
so for which:
~in a I (t )dt >
is also studied. If F(e it ) = f(t) the interval (o, 2-K)
is transformed into the unit circle and the question becomes
that of determininG the properties of F(elt) defined in the
unit circle for which the re is a set of polynomials
k(e it of such that:
14jg7 I F (e it nk(e it jPdO(t) = 0
0
where a(t) satisfies;
card 316 ~n a' (t)dt > - 00

39-1-5/5
Mean approximations to functions on rectifiable arcs. (Cont.)
Szegd (24), (25), Smirnov (16)0(1'7) and Korovkin (9) have
studied this problem for the case p = 2 . Smimov and Korov-
kin indicated a wide class of functions, analytic in a domain
bounded by a rectifiable curve, whose values could be approx-
imated to in the mean with any given accuracy for p = 2 .
For theorem 23, a full solution is given and the necessary and
sufficient conditions that f(t) sho~il belong to the closum
of a linear segment of the system jel-n I in LP(da; o, 2Tr)
for any positive p and o(t) satisfyiAS condition:
ayr
in as (t)dt 4:50
are indicated.
The behaviour of the sequence in je't)~ in I'z 1--,'l which
approximat-es to F(eit) arbitrarily well in the metric of
Card 4AI?(do; o-, 2Tr) , assuming only that the sequence satisfies:

Mean approximations to functions on rectif iable arcs. (ConL
fr
lim F(e it r1k(e it )I Pdo(t) 0
k #00
is discussed for 0(t) satisfying:
2 ir
) 1n. a' (t)dt 00
and
2 ft
In (;# (t)dt > 00
Chapter II is devoted to meau, weighted approximations by
polynomials to complex functions defined on a rectifiable
Jordan curve y . The case of an open curve has been solved
by Markashevich (13), so attention is directed only on the case
card 5/6of a closed curve. The questions solved are similar to those

~9-1-5/5
Mean approximations to functions on rectifiable arcs. (Cont.)
of Chapter I. Using the results of Chapter I, thexe is a
complet i ~tigation of a closuie of a linear segment,tf the
syste, 14T in IP (d a; y) f Or p > 0 ( *4 replaces e ) .
I-a Chapter III is studied themean approximation to a complex
function defined on the real axis. A full investigation is
given of the closure of a linear segment of the system
iax (a any positive number) in LP(da; -vPj + W ) for
P > 0
There are 31 references, 28 of which are Slavic.
SUBMITTED: March 27, 1956.
AVAIIABLE; Library of Congress
card 616

TUHARKIN
fte bebavior near the boundary of a region of certain sequencee
of derivatives of analytic functions converging uniformly vithin
the region. Doki. AN SSSR 114 n0-3:502-505 Ify '57. (Mla& 10-;8)
1. Predstavlano akadenikom M.A, lavrentlyevrm.
(Functions, Analytic)

- TUMARKIN, G.TS.
Conditions for the existenee of an analytic majorant of a family
of analy-tic functions. Izv. AN Arm. SSR. Ser. fiz.-mat. nauk 17
no.6:3-25 164- WIRA 18:3)
1. Moskovskiy geologorazvedochnyy institut im. S.Ord2ffionikidze.

TU14ARKIN G.TS.
"
Converging oequencea of bliaoliko's producta. 3ib. mat. zhur. 5
no.D201-233 -Ta-F 364. 04MA 17; 7)

TUMARKINY G. TS.
1-1 . - - - - 'd - -- ~ ~- -
Conditions for uniform convergence and for the convergence of
boundary values of analytic and moromarphic functlana with
uniformly bounded characteristics. Sib. mat. zhur. 5 no. 2:
387-417 Mr-Ap 164. (MIRA 17:5)

TUMARKIN G TS
Properties of analytic functions representable by Cauchy-Stieltjeu
and Cauchy-Lebesgue type integrals. Izv. ANI Arra.SSR.Ser.fiz.-mat.
nauk 16 no.5:23-45 163. (,',aRA 16:11.)
1. Moskovskiy geologorazvedociw-Ty institut.
f

TUMARKIN, G.TS.
One sufficient condition for a limiting doma-in to belong to class
S. Vest. LGU 17 no.l3t47-55 162. (~ffRA 15:7)
(Functions, Analytic)

-TUHLUMI,G-W.--
Conditions of the average convergence of boundary values cf the
sequence of analytic functions. Trudy MRI 30's154-171+ 159.
- (KRA 15:5)
(Funaticna, Analytic)

MARKUSBEVICH, Aleksey Ivanovich; TIKHOY40VA, E.P., red.; TUMARKIN, G.TS.,
red.; BRUDNOI K.F., tekhn. red.
[Brief course in the theory of analytic functions] Kratkii kurs
teorii analiticheskikh funktsii. Izd,,2*, stereotipnoe. Mo-
skva.. Gos. izd-vo fiziko-matem. lit-ry., 1961. 335fpe
,K[RA 15:2)
(Functions, Analytic)

TUMARKIN, G. Ts.
Doc Phys-Math Sci - (diss) "Boundary properties of sequential
analytic functions." Leningrad, 1961. 30 pp; (Leningrad Order
of Lenin State Univ imeni A. A. Zhdanov); 180 copies; price not
given; list of author's works on pp 29-30 (22 entries); (IM,
6-61 sup, 191) ,

89482
S/022/61/014/001/002/010
14,3000 B112/B202
AUTHOR: Tumarkin, G. Ts.
TITLE: Series expansion of analytical functions with respect to
fractions with a given amount of poles
PERIODICAL: Izvestiya Akademii nauk Armyanskoy SSR. Seriya fiziko-'
matematicheakikh nauk, v. 14, no. 1, 1961, 9-31
TEXT: M. M. Dzhrbashyan studied the series expansion of analytical func-
tionsf(z) with respect to certain rational functions M n(z), generalized
Faber's polynomials, in simply connected domains G which are bounded
by rectifiable Jordan curves He demonstrated that each function f(z)
analytical in G and steady in can be expanded into a series
00
f (z) = 5-71, CnMn(z)
n=0
uniformly convergent in the interior of Gt if the given sequence fajlof
the poles of fmn (z )i distributed on -P satisfies the condition
Card 1/3

89482
Series expansion of analytical... S1022V611014100110021010
B112/B202
+00 (
+00 (1)
j=1
The function occurring therein conformly maps the complementary domain G
of G into the exterior of the unit circle with point oo as fixed point.
To obtain a rectifiable Jordan curve as the boundary r of G, the inverse
function Y of I must, according to Dzhrbashyan, fulfill the condition:
lim 2n j)t(reilf'~1)12dc~