Zap. Nauchn. Sem. LOMI, 1978, Volume 81

Zapiski Nauchnykh Seminarov LOMI

RUS ENG

JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

	General information
	Latest issue
	Archive
	Impact factor

	Search papers
	Search references

	RSS
	Latest issue
	Current issues
	Archive issues
	What is RSS

Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
	Find

Personal entry:
Login:
Password:
	Save password
	Enter
	Forgotten password?
	Register

1978, Volume 81

General information

Contents

Investigations on linear operators and function theory

99 unsolved problems in linear and complex analysis

Prefase N. K. Nikol'skii, V. P. Khavin, S. V. Khrushchev		7–9
Chapter I. Spaces of analytic functions		10–11
	1.1. Absolutely summing operators prom the disc algebra A. Pełczyński	12–14
	2.1. When is $\Pi_2(x,l^2)=L(x,l^2)$? I. A. Komarchev, B. M. Makarov	15–17
	3.1. Finite dimensional operators on spaces of analytic functions P. Wоjtaszсzуk	18–19
	4.1. Complemented subspaces of $A$, $H^1$ and $H^\infty$ P. G. Casazza	20–22
	5.1. Spaces of Hardy type E. M. Semenov	23–24
	6.1. Spaces of analytic functions (isomorphisms, bases) V. P. Zakharyuta, O. S. Semiguk, N. I. Skiba	25–28
	7.1. Linear functionals on spaces of analytic functions and linear convexity in $\mathbb C^n$ L. A. Aizenberg	29–32
	8.1. Golubev series and analyticity in a neighborhood of a continuum V. P. Khavin	33–35
	9.1. On uniqueness of the carrier of an analytic functional V. M. Trutnev	36–37
Chapter 2. Banach algebras		38
	1.2. The vanishing interior of the spectrum G. J. Murphy, T. T. West	39–40
	2.2. The spectral radius formula in quotient algebras G. J. Murphy, M. R. Smyth, T. T. West	41
	3.2. Analyticity in the Gelfand space of the algebra of $L^1(\mathbb R)$ multipliers G. Brown, W. Moran	42–45
	4.2. On the Cohen–Rudin characterisation of homomorphisms of measure algebras S. Igari	46–47
	5.2. Polynomial approximation L. de Branges	48–49
	6.2. Problems pertaining to the algebra of bounded analytic functions T. W. Gamelin	50–52
	7.2. Subalgebras of the disk algebra J. Wermer	53–54
	8.2. Sets of antisymmetry and support sets for $H^\infty+C$ D. Sarason	55–57
	9.2. Algebraic equations in commutative Banach algebras E. A. Gorin	58–61
	10.2. Holomorphic maps of certain spaces connected with algebraic functions V. Ya. Lin	62–65
Chapter 3. Problems from probability theory		66–67
	1.3. Some questions about Hardy functions H. P. McKean	68–69
	2.3. Analytic problems of the theory of stochastic processes I. A. Ibragimov, V. N. Solev	70–72
	3.3. The problem of N. A. Sapogov N. A. Sapogov	73
	4.3. On the existence of measures with prescribed projections V. N. Sudakov	74
Chapter 4. Linear operators		75–76
	1.4. Is a uniform algebraic approximation of the multiplication and shift operators possible? A. M. Vershik	77–81
	2.4. Operators, analytic begligibility, and capacities C. R. Putnam	82–84
	3.4. Null sets of operator functions with positive imaginary part B. S. Pavlov, L. D. Faddeev	85–88
	4.4. A question of polynomial approximation arising in connection with the lacunae of the spectrum of Hill's equation H. P. McKean	89–91
	5.4. Titchmarsh's theorem for vector functions H. Helson	92–93
	6.4. Operators and approximation N. K. Nikol'skii	94–95
	7.4. Spectral decomposition and the Carleson condition V. I. Vasyunin, N. K. Nikol'skii, B. S. Pavlov	96–98
	8.4. A problem on operator valued bounded analytic functions B. Szőkefalvi-Nagy	99
	9.4. The similarity problem and the structure of the singular spectrum of a nondissipative operator S. N. Naboko	100–102
	10.4. Factorization of operators in $L^2(a,b)$ L. A. Sakhnovich	103–106
	11.4. A similarity problem for Toeplitz operators D. N. Clark	107–108
	12.4. Localization of Toeplitz operators R. G. Douglas	109–111
	13.4. Factorization of operator functions (classification of holomorphic Hilbert space bundles over the Riemannian sphere) J. Leiterer	112–114
	14.4. Estimation of operator polynomials in Schatten–von Neumann classes V. V. Peller	115–117
	15.4. The decomposition of Riesz operators M. R. Smyth, T. T. West	118
Chapter 5. Spectral analysis and synthesis		119–121
	1.5. About holomorphic functions with limited growth L. Waelbroeck	122–124
	2.5. Localization of polynomial submodules in some spaces of analytic functions and solvability of the $\overline\partial$-equation V. P. Palamodov	125–127
	3.5. Invariant subspaces and surjective differential operators V. M. Trutnev	128–129
	4.5. Hardy classes and Riemann surfaces of Parreau–Widom туре M. Hasumi	130–132
	5.5. Local description of closed submodules and the problem of supersaturation I. F. Krasichkov-Ternovskii	133–136
	6.5. A problem of spectral theory of an ordinary differential operator in a coplex domain V. A. Tkachenko	137–138
	7.5. Two problems of spectral synthesis N. K. Nikol'skii	139–141
	8.5. Cyclic vectors in spaces of analytic functions A. L. Shields	142–144
	9.5. Weak invertibility and factorization in certain spaces of analytic functions R. Frankfurt	145–148
	10.5. Weakly invertible elements in Bergman spaces B. I. Korenblum	149–150
	11.5. Invariant subspaces of the shift operator in some spaces of analytic functions F. A. Shamoyan	151–152
	12.5. Blaschke products and ideals in $C_A^\infty$ D. L. Williams	153–155
	13.5. Completeness of the system of shift functions in weight spaces V. P. Gurarii	156–159
	14.5. A closure problem for functions on $\mathbb R_+$ Y. Domar	160–162
	15.5. Shifts of functions of two variables B. Ya. Levin	162
	16.5. Deux problèmes concernant les séries trígonométriques J.-P. Kahane	163
	17.5. Harmonic synthesis and superposition E. M. Dyn'kin	164–165
	18.5. On uniqueness theorem for the mean periodic functions Yu. I. Lyubich	166
	19.5. The exact majorant problem S. Ya. Khavinson	167–168
Chapter 6. Approximation		169–170
	1.6. Spectral synthesis in Sobolev spaces L. I. Hedberg	171–172
	2.6. On the integrability of the derivative of conformal mapping J. Brennan	173–176
	3.6. Splitting and boundary behavior in certain $H^2$ spaces T. Kriete	177–179
	4.6. On the span of trigonometric sums in weighted $L^2$ spaces H. Dym	180–181
	5.6. Rational approximation of analytic functions A. A. Gonchar	182–185
	6.6. A convergence problem on rational approximation in several variables H. Wallin	186–189
	7.6. The approximation by functions in $H^\infty+C$ V. M. Adamyan, D. Z. Arov, M. G. Krein	190–192
	8.6. Badly-approximable functions on curves and regions L. A. Rubel	193–194
	9.6. Exotic Jordan arcs in $\mathbb R^n$ G. M. Henkin	195–196
	10.6. Regularity of boundary points for elliptic equations V. G. Maz'ya	197–199
Chapter 7. Analytic capacity		200–201
	1.7. Removable sets for bounded analytic functions D. E. Marshall	202–205
	2.7. On Painlevé null sets W. K. Hayman	205–207
	3.7. Analytic capacity and rational approximation A. G. Vitushkin, M. S. Mel'nikov	207–209
	4.7. About a null analytic capacity set L. D. Ivanov	209–211
	5.7. Estimates of analytic capacity J. Kral	212–217
Chapter 8. The Cauchy type integral		218
	1.8. $L^2$-boundedness of the Cauchy integral on Llipschitz graphs A. P. Calderón	219
	2.8. On the Cauchy integral and related integral operators R. R. Coifman, Y. Meyer	220–221
	3.8. On some questions concerning the classes of regions defining by properties of Cauchy type integrals G. Ts. Tumarkin	222–225
Chapter 9. BMO		226
	1.9. Sets of uniqueness for QC D. Sarason	227–228
	2.9. Some open problems concerning $H^\infty$ and BMO J. Garnett	228–229
	3.9. Two conjectures by Albert Baernstein II A. Baernstein II	230–232
	4.9. Blaschke products in $\mathscr B_0$ D. Sarason	233–234
	5.9. Algebras coutained within $H^\infty$ J. M. Anderson	235–236
Chapter 10. Uniqueness theorems		237
	1.10. Some open problems of the theory of analytic functions representations M. M. Dzhrbashyan	238–241
	2.10. The uniquness sets for analytic function with finite Dirichlet integral V. P. Havin, S. V. Khrushchev	242–245
	3.10. Quasianalytic properties of functions on respect to deferentiation operator V. I. Matsaev	246–247
	4.10. Problems by R. Kaufman R. M. Kaufman	247
	5.10. Local operators on Fourier transforms L. de Branges	248
	6.10. The pick set for Lipschitz classes E. M. Dyn'kin	249–251
	7.10. On a uniqueness theorem V. V. Napalkov	252
Chapter 11. Interpolation and bases		253–254
	1.11. On the representation of functions by exponential series A. F. Leont'ev	255–257
	2.11. Necessary conditions for interpolation by entire functions B. A. Taylor	258–259
	3.11. On the multiplication and division of power series with the coefficient sequence from $l^p$ space S. A. Vinogradov	260–262
	4.11. Rational functions with prescribed branching A. A. Gol'dberg	263
	5.11. On the traces of $H^\infty(\mathbb B^N)$ functions on the hyperplanes N. A. Shirokov	264–265
Chapter 12. Entire functions		266
	1.12. An inverse problem of the best approximation of uniformly continuous functions with the help of entire functions of exponential type and related questions M. I. Kadets	266–267
	2.12. The zeros of sine type functions B. Ya. Levin, I. V. Ostrovskii	268–270
	3.12. Operators conserving the completely regular growth I. V. Ostrovskii	271–273
	4.12. Entire functions of the Laguerre–Pólya class B. Ya. Levin	274–275
5.12. Two problems about limit properties of entire functions V. S. Azarin		276
Chapter 13. Inner functions in the ball		277
	1.13. The inner function problem in balls W. Rudin	278–280
	2.13. The extreme rays of the positive pluriharmonic functions F. Forelli	281–282
Alphabetical index		283–289
Subject index		290–294
Notations		295

Registration to the website

Logotypes