REFERENCES - Springer978-94-011-1180-5/1.pdf · REFERENCES 267 Babbage, Cb. (I) An essay towards...

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REFERENCES Adamyan, V.M., Arov, D.Z .• Krein, M.G. (I) Infinite Hankel mat ri ces and generalized CarathOOdory-Feier and RieRz problems. F'unkcioual. Anal. i Prilozhen. 2 (2) 1968. 1-19 (in Ru ssian). Adelson-Velskii, a.M., Sh reider, Yu.A. ( 1) Banach's mean value in grou ps. Uspckhi Mat . Nauk 12 (6) 1957, 13 1- 13 6 (in Ru s' si an). Aiunshtat . A.V., Karlovid!, Yu.l., LitvindlUk, C.S. ( 1) Oded numbers of the Kveselava·N.Vckua operator with di scontinuous shift deriva- tive. DokIAd . Akad. Nauk SSSR 318 (I) 1991, 11- 16 (in Russian ). English t rana!': Soviet Math. Dokl. 43 (3) 1992,633-638. (2) On :lOme theorenl!l on conformalscwing and its applications. Trud. I li st. P ri kl. Math. I.N. Vek ua: Tbilisi, 1988, 3 (1),9-12 (in Russian ). Ale kseev, V.M. (I) Sy mbolic dynamics. XIl.etno\ ia Mat. Shkola. bd. 1M Abd. NllUk Ukra i.SS R: Kiev, 1976 (i n Russian). Allan, C. R. (I) On onc sidcd in vcf'SCll in Banach lI\gd)rlls of ho lornor ph ic vcct.or-va)ued function s. J. London Math . Soc. 42 (3) 1967, 463 ·470 . (2) Ideals of vector· valued functiollls. Proc. London Mat h. Soc. 3 (18) 1968, 193· 21 6. Antonevich, A.B. (I) Two met hods for investigating t he iuvertihility of operators from C · -a lgebras gener· ated by dynamical systems. r..f" L Sb. 124 (1) 19$4,3-23 (in Russian). (2) In vertibility conditions for operators with a convex rationally in dependent system of shifts. Ook!. Akad. Nauk SSS R 256 (1) 1981, 11 -14 (in Russian). English trans!': Soviet Mat h. DuH 23 (I) 1981, 1·4. (3 ) Algebras generated by .... -eighled operators and psclidodifferelltial opera\.ors wi th shifl. Ookl . Akad . Nauk SSSR 256 (6) 19SI , 1293-1296 (in Russian). Eng li sh l raIlS !. : Sovie t Math . Ook!. 23 (1) 1981, 1 59 -1 6 1. (4) On one clMS of pscudod iffercutial operators with divergent argument 011 the torus. Differencialnye Uravnenija 11 (9) 11175, 1550 - 1557 (in Russian).

Transcript of REFERENCES - Springer978-94-011-1180-5/1.pdf · REFERENCES 267 Babbage, Cb. (I) An essay towards...

Page 1: REFERENCES - Springer978-94-011-1180-5/1.pdf · REFERENCES 267 Babbage, Cb. (I) An essay towards the calculus orrunciiolls. Philo,. Trans. London 106 (2)·ser.A,1816, 179-256. Buhkarev,

REFERENCES

Adamyan, V.M., Arov, D.Z .• Krein, M.G.

(I) Infinite Hankel mat rices and generalized CarathOOdory-Feier and RieRz problems.

F'unkcioual. Anal. i Prilozhen. 2 (2) 1968. 1-19 (in Russian).

Adelson-Velskii, a.M., Sh reider, Yu.A.

( 1) Banach's mean value in groups. Uspckhi Mat. Nauk 12 (6) 1957, 131-136 (in Rus'

sian).

Aiunshtat. A.V., Karlovid!, Yu.l. , LitvindlUk, C.S.

( 1) Oded numbers of the Kveselava·N.Vckua operator with discont inuous shift deriva­

tive. DokIAd . Akad. Nauk SSSR 318 (I) 1991, 11-16 (in Russian ). English t rana!':

Soviet Math. Dokl. 43 (3) 1992,633-638. (2) On :lOme theorenl!l on conformalscwing and its applications. Trud . Ilist . Pri kl. Math.

I.N. Vekua: Tbilisi, 1988, 3 (1),9-12 (in Russian).

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( I ) On onc sidcd invcf'SCll in Banach lI\gd)rlls of holornorphic vcct.or-va)ued function s. J . London Math. Soc. 42 (3) 1967, 463·470 .

(2) Ideals of vector· valued functiollls . Proc. London Math. Soc. 3 (18) 1968, 193·21 6.

Antonevich, A.B.

(I) Two met hods for investigating the iuvertihility of operators from C · -algebras gener·

ated by dynamical systems. r..f"L Sb. 124 (1) 19$4,3-23 (in Russian). (2) Invertibility condi tions for operators with a convex rationally independent system of

shifts. Ook!. Akad. Nauk SSS R 256 (1) 1981, 11 -14 (in Russian). English trans!':

Soviet Math. DuH 23 (I) 1981, 1·4. (3 ) Algebras generated by .... -eighled operators and psclidodifferelltial opera\.ors wi th shifl.

Ookl . Akad . Nauk SSSR 256 (6) 19SI , 1293-1296 (in Russian). English l raIlS!.: Soviet

Math . Ook!. 23 (1) 1981, 159-16 1. (4) On one clMS of pscudod iffercu tia l operators with divergent argument 011 the torus.

Differencialnye Uravnenija 11 (9) 11175, 1550-1557 (in Russian).

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(7 ) On some new resul ts in the Noether t iU:."OTY of singular integral operators with a non­

Carleman shift. Material)' V5ellQiyuzn. Shkol)' po Teorii Funktsii (in Actual problems

in funct ion theory): Baku, 1980, 145-1 50 (in Russian).

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Stukopin, V. A.

(1) On the index of a family of singular integral operators with piecewise continuous

coefficients and a fin ite group of shifts on a composite contour. Dr. Sci. Thesis:

Rostov.on-Don , 1988 (in Russian ).

Titchmarsh, E.C.

(I) Theory of Fourier Integrals. OxforJ . 1957. Russian trans!.: Gostckhizdat: Moscow.

1948.

Vui levski , N.L.

( I ) An algebra generated by an abstract ~ ingu lar operator and a Carleman ~hin. Soobsh.

Akad. Nauk Gru2SSR 115 (3) 19S4, 473-476 (in Russian).

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285

Vasilevski, N.L., Litvinchuk, 0.5.

(1) Solvability theory of some classes of singular integral equations with involution.Dokl.

Akad. Nauk SSSR 221 (2) 1975, 269-271 (in Russian). English trans!. : Ook!. Aka<! .

Nauk SSSR 221 1975, 38·41.

Vekua, N.P.

(1) Syslems of ~ingular integral equations. Nauka.: Moscow, 1970 (i n RU~Rian) .

(2) On a generalized system of singular integral equat ions. 5oobsh. Akad. Nauk CruzSSR

IX (3) 1948, 153-160 ( in RII~~i"n ).

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Subject Index

a l,;"'bra -, A. 214 -, B 214 - AD 22 1

- : go 215 -, AP, ApJoc , APw , AP£. 257 -, ct·"~(r) 221

- , CU(i~ ) 23 1 -, f) 212, 213, 235 -, involut.ory 33 -, Z 'l IS - , Iv 224 -, 'H 170 -,.4,200

boundn!!S6 of Sr 11

C · -algebra 33 Carleman shift '19 Cauehy indu 60 cocyele 1S6 commutator 33

defect chllraeterislic 5 dynamic .pectrum 158

e rgod ic shift 29 es5ent ial kernel 43 e6H:nt ia l cokemel 43 _n1;a1 norm 14

JI .Noetherity 164 homotopic 0pl!rato~ 13 Il- relulariter ]64

indvc of NOt:therian operator 3, 5 iwmetri( shift operator 32 i(;Omorphi~m IT 231

left regulari~er 8 line,,' d il"lation hyperbolic 156 -, qUM i_ hype rbolic 159 local represent"tive 180, 242

,x-symbol 243 A-Iocaliubility 24 localizing dassel' 241 L yapunov curve 10

Lyapunovexpontnt.l 159

matrix of normal fo rm 122 -, a-red ucible 122 - , normaliuble 124 - , of forenormal form 134 morphism,.. 34 multipl ica tive ergodic theorem 158, 159

non_Carleman shin 29

operator -, accompanying 67, 117 - , approximately localizable 2S3 -, a$S()Ciatcd 8'2 , 83 - , of complex conjugation 63 - , canonical Fredholm :; -, canonical functional 102 - , conjugat.e '2 - , F,,,,tlhul,,, :; - , hyperbolic 155 - , of 10<&1 type 24 1 - , localinble 241 - , Noetherian 3, 5 -, normally solvable 3 -, of . ingular integrat ion 16 - , paired 41, 236 -, reduced 82, 83 -, V-libered 241

'lti: -operato •• 93 period ic points of shift '17 projection operator 23

quasi-invariant measure 154

regula riution 8 rcgulari,c r 8 Riem!lnn boundary valuc problem 6 1

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288

right regulari~er 8

- , Ker Al - , Coker A 3 -, Ker .... " 2 -, Co 2H -, Ai(S) 43 - , Mo(S) 43 -, ,Meo ,A:) 27 -, M(S. I - 52) 166 - , Mo(S, I - S~) 166 -, M(S, if) 167 -, T 41 -, fI 167 shin funct ion 26 shift operator 31 l ingular in legral functional operator -, of lhe first order 44 - , of Kveselava-Vekua 63,198 -, of the order m 101 , 148 l ingular integral opcral.or -, with a Cauchy kernel 40 -, wilh , hifl 31 (f·8OIution 137, 143 a_ i-solution 143 5pectra l radiu5 33 , 89 sped.um of element 34 ~t,.bility of index 12

Stability of Noetherity 12

V(l). Nocther ity 242

Wiener-lIapf operator 236, 237

SU BJECT INDEX