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

DOI10.1007/s10958-021-05612-yzbMath1484.46047OpenAlexW3208319798MaRDI QIDQ2246245

A. I. Rakhimova, Il'dar Khamitovich Musin

Publication date: 16 November 2021

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-021-05612-y

zbMATH Keywords

ultradistributionsPaley-Wiener-Schwartz theorem

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

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
• Projective and injective limits of weakly compact sequences of locally convex spaces
• On the Laplace transorm of functionals on classes of infinitely differentiable functions
• Laplace ultradistributions supported by a cone
• Convolution Equations in Spaces of Distributions Supported by Cones
• COMPACT FAMILIES OF LOCALLY CONVEX TOPOLOGICAL VECTOR SPACES, FRÉCHET-SCHWARTZ AND DUAL FRÉCHET-SCHWARTZ SPACES
• On the Convolution and the Laplace Transformation in the Space of Beurling‐Gevrey Tempered Ultradistributions
• Holomorphlc functions in tubes associated with ultradistributions
• On Fourier - Laplace transform of a class of generalized functions
• Оn a Space of Holomorphic Functions on a Bounded Convex Domain of ${\mathbb C}^n$ and Smooth Up to the Boundary and its Dual Space
• On space of holomorphic functions with boundary smoothness and its dual
• Generators for some rings of analytic functions
• Analytically uniform spaces of infinitely differentiable functions