On Fourier - Laplace transform of a class of generalized functions

DOI10.13108/2020-12-4-78zbMath1474.32008OpenAlexW3127518574MaRDI QIDQ4987245

Il'dar Khamitovich Musin

Publication date: 29 April 2021

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

Full work available at URL: http://mathnet.ru/eng/ufa538

zbMATH Keywords

holomorphic functionsFourier-Laplace transform of functionals

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Linear composition operators (47B33) Entire functions of several complex variables (32A15)

Related Items (1)

Paley-Wiener-Schwartz type theorem for ultradistributions on an unbounded closed convex set

Cites Work

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• On a space of smooth functions on a convex unbounded set in \(\mathbb R^{n }\) admitting holomorphic extension in \(\mathbb C^{n }\)
• A theorem of Paley-Wiener type for ultradistributions
• On the Laplace transorm of functionals on classes of infinitely differentiable functions
• Fourier-Laplace transformation of functionals on a weighted space of infinitely smooth functions
• COMPACT FAMILIES OF LOCALLY CONVEX TOPOLOGICAL VECTOR SPACES, FRÉCHET-SCHWARTZ AND DUAL FRÉCHET-SCHWARTZ SPACES
• Analytically uniform spaces of infinitely differentiable functions

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