On an interpolation problem in the class of functions of exponential type in a half-plane

DOI10.13108/2019-11-1-19zbMath1463.30173OpenAlexW2946120758WikidataQ115515862 ScholiaQ115515862MaRDI QIDQ5137817

Irina Bogdanovna Sheparovich, B. V. Vynnyts'kyj, V. L. Sharan

Publication date: 2 December 2020

Published in: Ufimskii Matematicheskii Zhurnal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/ufa457

zbMATH Keywords

interpolationholomorphic functions of exponential type in the half-planesplitting of holomorphic functions

Mathematics Subject Classification ID

Moment problems and interpolation problems in the complex plane (30E05) Special classes of entire functions of one complex variable and growth estimates (30D15)

Cites Work

• On solutions of homogeneous convolution equation in one class of functions analytical in a semistrip.
• An extension of the Paley-Wiener theorem.
• Complete interpolating sequences for Paley-Wiener spaces and Muckenhoupt's \((A_p)\) condition
• THE PROBLEM OF MULTIPLE INTERPOLATION IN THE HALF-PLANE IN THE CLASS OF ANALYTIC FUNCTIONS OF FINITE ORDER AND NORMAL TYPE
• Sets of regular growth of functions in a half-plane. II
• On the problem without initial conditions for a nonlinear degenerating parabolic system
• On an analogue of the Paley-Wiener theorem for weighted Hardy spaces
• On factorization of one class of functions analytic in the half-plane
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