The Paley-Wiener theorem in the language of Taylor expansion coefficients

DOI10.1134/S1064562412050237zbMath1259.42031OpenAlexW1968339811MaRDI QIDQ1930836

Huy Bang Ha, Nhat Huy Vu

Publication date: 14 January 2013

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562412050237

zbMATH Keywords

distributionPaley-Wiener theoremTaylor expansiong-property

Mathematics Subject Classification ID

Distributions, generalized functions, distribution spaces (46F99) Nontrigonometric harmonic analysis (42C99) Uniqueness of trigonometric expansions, uniqueness of Fourier expansions, Riemann theory, localization (42A63)

Related Items (1)

Paley-Wiener-type theorem for functions with values in Banach spaces

Cites Work

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• Functions of exponential type
• A Paley-Wiener theorem for real reductive groups
• A Paley-Wiener theorem for reductive symmetric spaces
• A local Paley-Wiener theorem for compact symmetric spaces
• An analogue of the Paley-Wiener theorem for the Fourier transform on certain symmetric spaces
• On a Family of Distributions Obtained from Eisenstein Series I: Application of the Paley-Wiener Theorem
• Real Paley–Wiener theorems and local spectral radius formulas
• A Paley-Wiener theorem for the Askey-Wilson function transform
• Paley–Wiener theorems for the Dunkl transform

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