On one class of differential operators and their application

DOI10.1134/S0081543815020145zbMath1328.47034OpenAlexW2095212607MaRDI QIDQ2516601

A. U. Mullabaeva, V. V. Napalkov

Publication date: 3 August 2015

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543815020145

zbMATH Keywords

characteristic functioneigenfunctiongeneralized shift operatorgeneralized differentiation operatoruniqueness setgeneralized convolution operatorgeneralized Laplace transformde la Vallée-Poussin problemgeneralized Bargmann-Fock spacesequentially sufficient set

Mathematics Subject Classification ID

Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37)

Related Items (3)

Кратная интерполяционная задача Валле Пуссена ⋮ Задача Валле Пуссена в ядре оператора свертки на полуплоскости ⋮ Interpolation by generalized exponential series

Cites Work

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• The holomorphic Cauchy problem for the convolution operator in analytically uniform spaces, and Fisher expansions.
• La dualité dans les espaces \((\mathcal F)\) et \((\mathcal{LF})\)
• The multipoint de la Vallée-Poussin problem for a convolution operator
• An Algebraic Theorem of E. Fischer, and the Holomorphic Goursat Problem
• Equivalence of Cauchy Problems for Entire and Exponential Type Functions

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