AMERICAN MATHEMATICA L SOCIET Y TRANSLATIONS

Series 2

Volume 2 6

17 paper s o n Analysi s

AUTHORS-

Aizerman, M . A . Bredihina, E . A . Cernikov, S . N . Gantmaher, F . R . Gel'fand, I . M .

Gel'fer, S . A . Harazov, D . F .

Kadec, M . I . Korobeinik, Ju . F .

Krein, M . G .

Oleinik, O . A . Pyateckii-Sapiro, I . L

Subhankulov, M . A . Temko, K . V .

Tureckii, A . N .

Published b y th e

AMERICAN MATHEMATICA L SOCIET Y 190 Hope Street, Providence, Rhode Island

under a grant fro m th e NATIONAL SCIENC E FOUNDATIO N

1963

http://dx.doi.org/10.1090/trans2/026

Copyright © 196 3 b y th e America n Mathematica l Societ y Printed i n th e Unite d State s of Americ a

All Rights Reserved No portion of this book may be reproduced without the written

permission of the publisher

Library of Congress Catalog Card Number A51-555 9

PHOTOLITHOPRINTED B Y CUSHIN G - MALLOY , INC . ANN ARBOR , MICHIGAN , UNITE D STATE S O F AMERIC A

TABLE O F CONTENT S

Page

Gel'fer, S . A . Th e variatio n o f multivalen t functions . [rejlb(|)ep , C . A . BapwaiJWfl MHOroJlHCTHbl x (JjyHKlJMH. ] Dokl . Akad . Nau k SSS R 98 (1954), 885-888 1

Gel'fer, S . A . O n th e coefficien t proble m fo r p-valen t functions . [reJIb(J)ep , C. A . K 3aj\me KoacjKjmujieHTO B P-JIMCTHM X (JjyHKijMii . ] Dokl . Akad. Nauk SSS R 10 6 (1956) , 955-95 8 5

Cernikov, S . N . System s o f linea r inequalities . HepHMKOB , C . H . Cw o TeMbi jiwHeMHbi x HepaBeHCTB. ] Uspeh i Mat . Nauk (N.S. ) 8 (1953), no. 2(54) , 7 - 7 3 1 1

Cernikov, S . N . Homogeneou s linea r inequalities . [HepHWKOB , C . H . OijHopoAHbie JMHeftHbi e HepaBeHCTBa. ] Uspeh i Mat . Nauk (N.S. ) 1 2 (1957), no . 2(74) , 185-19 2 8 7

Oleinik, O . A . Discontinuou s solution s o f non-linea r differentia l equations . [OjiefewK, 0 . A . Pa3pbiBHbi e peiueHWH HejMHewHbix Aw$$ eP e H 1W a j l b H b I X

ypaBHeHUM.] Uspeh i Mat . Nau k (N.S. ) 1 2 (1957) , no . 3(75) , 3 - 7 3 . . . . 9 5

Gel'fand, I . M. ; an d Pyateckii-Sapiro , I . I . Theor y o f representation s an d theory o f automorphi c functions . [reJIb^aHfl , M . M . M IlflTeiJKHH -Ulanwpo, M . M . Teopw a npeACTaBjiemiH w Teopwa aBTOMop(J)Hbi x (JjyHKUWM.] Uspeh i Mat . Nau k (N.S. ) 1 4 (1959) , no . 2(86) , 171-19 4 17 3

Gel'fand, I . M . Som e question s o f analysi s an d differentia l equations . [rejib(J)aHA, M . M . HeKOTopw e Bonpocbi aHaM3a w Aw^epeHi^wajib -Hbix ypaBHeHMfi. ] Uspeh i Mat . Nau k (N.S. ) 1 4 (1959) , no . 3(87) , 3 - 1 9 . 20 1

Krein, M . G . Criteri a fo r completenes s o f th e syste m o f roo t vector s o f a dissipative operator . [KpeMH , M . I \ 0 npM3HaKa x nOJIHOTb l CMCTeMbI KopHeBbix BeKTopo B AwccwnaTMBHoro onepaTopa . ] Uspeh i Mat . Nauk (N.S.) 14(1959) , no . 3(87) , 145-15 2 22 1

Kadec, M . I . O n th e distributio n o f point s o f maximu m deviation i n the approxi -mation o f continuou s function s b y polynomials . [KaAeii; , M . M . 0 pacneAejieHWM Tone K MaKcwMajibHoro yKjiOHemif l npw annpoKCMMauw w HenpepbiBHbix yHKi w w MHoro^JieHaMM. ] Uspeh i Mat . Nau k (N.S. ) 1 5 (I960), no . 1(91) , 199-20 2 23 1

Korobeinik, Ju . F . Som e propertie s o f serie s o f functions . [Kopo6eMHWK , H). $ . 0 HeKOTOpbl X CBOHCTBa X (jtyHKljUOHajIbHbl X pHAOB . ] U s p e h i

Mat. Nau k (N.S. ) 1 5 (I960) , no . 4(94) , 149-15 6 23 5

Harazov, D . F . Som e unbounde d symmetrizabl e operator s o n Hilbert spaces . [Xapa30B, A - $ • 0 HeKOTopbi x HeorpaHwqeHHbi x CMMMeTpw3yeMbi x onepaTopax B HuibSepTOBbix npocTpaHCTBax . ] Uspeh i Mat . Nauk (N.S.) 1 5 (I960) , no . 4(94) , 177-18 4 24 5

i n

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Bredihina, E . A , Som e problem s i n summatio n o f Fourie r serie s o f almos t periodic functions . [BpeAMXMHa , E . A. HeKOTopw e Bonpocb i cyM-MwpoBaHMH P^AO B $ypb e noqTM-nepwoAM^ecKM X $yHKijMJi . ] Uspeh i Mat . Nauk (N.S. ) 1 5 (I960) , no . 5(95) , 143-150 . 25 3

Tureckii, A . H. O n c lasse s o f saturatio n fo r certai n method s o f summatio n of Fourie r serie s o f continuou s periodi c functions , [TypeLJKMM , A . X . 0 Kjiacca x HacbmjeHWf l AJI H HeKOTopw x MeroAO B cyMMnpoBaHW H PHAO B $ypbe HenpepbiBHbi x nepwoAM^ecKM X (JDyHKmiM . ] Uspeh i Mat . Nauk (N.S.) 1 5 (I960) , no . 6(96) , 149-15 6 26 3

Temko, K . V . O n equilibriu m potential , conve x capacit y an d th e uniqueness o f trigonometri c series . [TeMKO , K . B . 0 nOTeHlJwaJi e paBHOBecwH, BbinyKJio w eMKocT H w eAWHCTBeHHOCTM TpwroHOMeTpw -qecKMX PJIAOB. ] Mat . Sb . N.S . 49(91 ) (1959) , 109-132 .

Temko, K . V . O n conve x capacity . [TeMKO , K . B . 0 BbinyKJlO M eMKOCTM.] Mat. Sb . N.S . 51(93 ) (I960) , 217-22 6

Subhankulov, M . A . Tauberia n theorem s wit h remainde r term . [Cy6xaHKy -JIOB, M . A . TaySepoBb i TeopeMb i c ocTaTO^Hbi M qjieHOM . ] Mat . Sb. 52(94) (1960) , 823-84 6

Aizerman, M . A. ; an d Gantmaher , F . R . Stabilit y i n a linea r approximatio n of th e periodi c solutio n o f a syste m o f differentia l equation s wit h dis -continuous righ t s ides . [AfeepMaH , M . A . w TaHTMaxep, $ . P . YcTOMquBOCTb no JMHewHOMy npn6jiw>KeHJ4K) nepwoAw^ecKor o peiueHJi a cwcTeMbi Aw^epemjtiajibHbi x ypaBHeHwf i c pa3pbiBHbiM M npaBbiM w qaCTflMW. ] Prikl . Mat . Meh. 21 (1957), 658-66 9 33 9

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