New type Paley-Wiener theorems for the modified multidimensional Mellin transform

DOI10.1007/BF02476030zbMath0913.44003MaRDI QIDQ1271494

Tuan, V. K.

Publication date: 14 June 1999

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/59567

zbMATH Keywords

inverse Mellin transformPaley-Wiener theoremsmultidimensional Mellin transformtransmutation operator method

Mathematics Subject Classification ID

Multiple integral transforms (44A30)

Related Items (12)

On the Paley-Wiener theorem in the Mellin transform setting ⋮ Two dimensional Mellin transform in quantum calculus ⋮ Polar-analytic functions: old and new results, applications ⋮ A generalization of the Paley-Wiener theorem for Mellin transforms and metric characterization of function spaces ⋮ Random Sampling of Mellin Band-Limited Signals ⋮ To multidimensional Mellin analysis: Besov spaces, \(K\)-functor, approximations, frames ⋮ Paley-Wiener-type theorem for a class of integral transforms arising from a singular Dirac system ⋮ Real Paley–Wiener theorems and local spectral radius formulas ⋮ Real Paley-Wiener theorems associated with the Weinstein operator ⋮ Generalization of a theorem of Boas to a class of integral transforms ⋮ New Paley-Wiener theorems ⋮ Paley-Wiener-type theorems for a class of integral transforms

Cites Work

• On the range of the Hankel and extended Hankel transforms
• A Property of Infinitely Differentiable Functions
• Functions with Bounded Spectrum
• On the range of the Y-transform
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