Generalization of the Paley-Wiener theorem in weighted spaces

DOI10.1007/BF01236300zbMath0727.30023MaRDI QIDQ803324

R. S. Yulmukhametov, V. I. Lutsenko

Publication date: 1990

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Laplace transformweighted space

Mathematics Subject Classification ID

Laplace transform (44A10) Representations of entire functions of one complex variable by series and integrals (30D10)

Related Items (14)

On unconditional exponential bases in weighted spaces on interval of real axis ⋮ Integral representation of one class of entire functions ⋮ Dual spaces for weighted spaces of locally integrable functions ⋮ Equivalent conditions for the existence of unconditional bases of reproducing kernels in spaces of entire functions ⋮ On unconditional bases of exponentials in weighted spaces on an interval of the real axis ⋮ On unconditional exponential bases in weak weighted spaces on segment ⋮ A Piece of Victor Katsnelson’s Mathematical Biography ⋮ Necessary condition for the existence of unconditional bases of reproducing kernels for Hilbert spaces of entire functions ⋮ On approximation properties of one trigonometric system ⋮ Riesz bases of normalized reproducing kernels in Fock type spaces ⋮ Entire functions of sine type and their applications ⋮ Geometry of radial Hilbert spaces with unconditional bases of reproducing kernels ⋮ New Paley-Wiener theorems ⋮ On a criterion for the existence of unconditional bases of reproducing kernels in Fock spaces with radial regular weight

Cites Work

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