A theorem of Paley-Wiener type for ultradistributions

DOI10.1134/S0001434609050265zbMath1186.46037MaRDI QIDQ1034005

P. V. Fedotova, Il'dar Khamitovich Musin

Publication date: 10 November 2009

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

zbMATH Keywords

Paley-Wiener theoremFourier-Laplace transformholomorphic functionplurisubharmonic functionrapidly decreasing functionultradistributionslowly decreasing distribution

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Hyperfunctions, analytic functionals (46F15) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Duality theory for topological vector spaces (46A20) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Related Items (3)

On a space of smooth functions on a convex unbounded set in \(\mathbb R^{n }\) admitting holomorphic extension in \(\mathbb C^{n }\) ⋮ Paley-Wiener-Schwartz type theorem for ultradistributions on an unbounded closed convex set ⋮ On Fourier - Laplace transform of a class of generalized functions

Cites Work

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• 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
• Analytic Representations and Fourier Transforms of Analytic Functionals in $Z'$ Carried by the Real Space
• Analytically uniform spaces of infinitely differentiable functions
• Fourier-Laplace transformation of functionals on a weighted space of infinitely smooth functions on $ \mathbb R^n$

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