AMERICAN MATHEMATICA L SOCIET Y TRANSLATIONS

S e r i e s 2

Volume 11 1

9 PAPER S O N ANALYSI S

by

V. M. Adamja n

D. Z. Arov

M. L. Cetlin

I. M. Gel'fa n

I. C. Gohberg

V. S . Gurfmke l

M. M. Karfcevski i

M. G. Krein

N. Ja. Krupni k

A. D. LjaSko

Petr Mand l

D. E. Men'Sov

Coden: AMTRCU

Published b y th e

AMERICAN MATHEMATICA L SOCIET Y

Providence, Rhode Islan d

1978

http://dx.doi.org/10.1090/trans2/111

Library o f Congres s Catalo g Numbe r A51-555 9

International Standar d Boo k Numbe r 0-8218-3061- 9

AMS (MOS) subject classifications (1970) . Primar y 15A57 , 28A20 , 42A20 , 47B10, 47G05 , 4 9 - 0 1 , 49B10 , 49B15 , 65N05 , 65N10 , 65N30 , 68A35 , 92A05 ;

Secondary 28A20 , 45E05 , 45L05 , 47A50 , 49C05 , 49D05 , 65L10 .

Library o f Congres s Catalogin g i n Publicatio n Dat a OE Main entry unde r title : 9 paper s on analysis .

(American Mathematica l Societ y translations ; ser. 2 , v. I l l ) Translation fro m Russian . Bibliography: p . CONTENTS: Men'sov, D. E. On limit s o f indeterminacy o f partia l sum s of

universal trigonometri c series.—Men'sov , D. E. On limi t function s o f trigonome -tric series.—Men'sov, D. E. Universal sequences o f functions , [etc. ]

1. Mathematical analysis—Addresses , essays, lectures. I . Adamfan, V . M. II. Series: America n Mathematica l Society . Translations ; ser. 2 , v. 111. QA3.A572 ser . 2 , vol. I l l [QA300 ] 510'.8s ISBN 0-8218-3061-9 [515'.08 ] 78-544 2

Copyright © 197 8 b y th e America n Mathematica l Societ y

Printed i n th e Unite d State s o f Americ a

All Rights Reserved No portion of this book may be reproduced

without the written permission of the publisher

TABLE OF CONTENTS

Men sov , D . E . O n limit s o f indeterminac y o f partia l sum s o f universa l

trigonometric ser ies . [MeHblUOB , /J . E . 0 npeAeJia x HeonpeAejieHHOCT M

HaCTHblX CyM M yHMBepCaJIbHH X TpwrOHOMeTpMMeCKM X pHAOB. ] M o s k o v .

Gos. Univ . Ucen . Zap . 165 , Mat . 7 (1954) , 3 -3 3 1

Men'sov, D . E . O n limi t function s o f trigonometri c se r ies . [MeHblUOB ,

fl. E . 0 npeflejibHbi x (JDymojiifl x TpwroHOMeTpmiecKor o pHAa. ] Trud y

Moskov. Mat . Obsc . 7 (1958) , 291-33 4 3 5

Men'sov, D . E . Universa l sequence s o f functions . [MeHblUOB , J\. E . 0 6

yHMBepcajibHbix nocjieAOBaTejibHOCTH x (J)yHKU,MM. ] Mat. Sb . 6 5 (107 )

(1964), 272-31 2 8 1

Gohberg, I . C , an d Krupnik , N . J a. O n th e quotien t nor m o f singula r inte -

gral operators . [ rox6epr , M . U, . M KpynHMK, H . H . 0 (JDaKTop -

HopMe CMHryjinpHbi x MHTerpajibHbi x onepaTopoB. ] Mat . I ss led . 4

(1969), No . 3 , 136-13 9 11 7

Gohberg, I . C . an d Krupnik , N . J a. O n composit e linea r singula r inte -

gral operators . [ rox6epr , ]A 0 U,. M KpynHMK, H . H . 0 cjio>KHbi x

jiMHeiiHbix CMHryjinpHbi x MHTerpajibHbi x onepaTopax. ] Mat . I ss led . 4

(1969), no . 4 , 20-3 2 12 1

Adamjan, V . M. , Arov , D . Z . an d Krein , M . G . Infinit e Hanke l bloc k

matrices an d relate d extensio n problems . [AAaMHH , B . M. , ApOB ,

H. 3 . M KpeMH , M . T . BecKOHe^Hbi e Sjio^Ho-raHKejieBb i MaTpwub i M

CBH3aHHbie C HMMI 4 I ipoSj ieMb l npOAOJDKeHMH . ] I z v . A k a d . N a u k

Armjanskoi SS R 6 , No . 2 - 3 1971 , 87-11 2 13 3

Ljasko, A . D . an d Kar£evskil , M . M . Stud y o f differenc e scheme s fo r

nonlinear equation s b y a variationa l method . [JlfllUKO , A . Z [ M

Kap^eBCKMM, M . M . MccjieAOBaHw e pa3H0CTHbi x cxe M RJW

HejiMHeiiHbix ypaBHeHM M c noMoiubK ) Bapwai MOHHor o MeTOAa. ] Izv .

Vyss . Ucebn . Zaved . Matematik a 1967 , no . 3 (58) , 59 -6 5 15 7

Mandl, Petr . Foundation s o f multistag e syste m optimization . [Mandl , Petr .

Zaklady optimalizac e vicestupnovyc h soustav. ] Kybernetik a (Prague )

8 (1972) , 3-5 2 16 5

Gel'fand, I . M. , Gurfinkel ' , V . S . an d Cetlin , M . L . O n contro l tac t ic s fo r

complex system s an d thei r relatio n t o physiology . [rejlb(J)aHA , M . M. ,

Typ(|)MHKejib, B . C . w UeTJiMH , M . JI . 0 TaKTMKa x ynpaBjiemif l

CJI0>KHbIMJd CMCTeMaM M B CBH3 M C cjM3M0JI0™eM . ] B i o l o g i c e s k i e

Aspekti Kibernetiki , Izdat . Akad . Nau k SSSR , Moscow , 1962 , 6 6 - 7 3 21 3

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