SPACES OF ANALYTIC FUNCTIONS OF PRESCRIBED GROWTH NEAR THE BOUNDARY

DOI10.1070/IM1988V030N02ABEH001008zbMath0638.30050OpenAlexW2047637670MaRDI QIDQ3778990

V. V. Napalkov

Publication date: 1988

Published in: Mathematics of the USSR-Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im1988v030n02abeh001008

zbMATH Keywords

Laplace transformPaley-Wiener theoreminductive limitLegendre transformprojective limitdual spaceDirichlet seriessufficient setconvex domaingrowth near the boundary

Mathematics Subject Classification ID

Spaces of bounded analytic functions of one complex variable (30H05) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Representations of entire functions of one complex variable by series and integrals (30D10)

Related Items (6)

(DFS)-spaces of holomorphic functions invariant under differentiation ⋮ On entire functions with given asymptotic behavior ⋮ On representation of functions from normed subspaces of \(H(D)\) by series of exponentials ⋮ Representing systems of exponentials in projective limits of weighted subspaces of $H(D)$ ⋮ Representing systems of exponentials in projective limits of weighted subspaces of \(A^\infty (D)\) ⋮ On the surjectivity of the convolution operator in spaces of holomorphic functions of a prescribed growth

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