Real Paley-Wiener theorems associated with the Weinstein operator

DOI10.1007/BF03339787zbMath1182.42012OpenAlexW2040581581MaRDI QIDQ1019549

Youssef Othmani, Khalifa Trimèche

Publication date: 2 June 2009

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03339787

zbMATH Keywords

Paley-Wiener theoremFourier-Bessel transformWeinstein operator

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Special integral transforms (Legendre, Hilbert, etc.) (44A15)

Related Items

Characterization for the spectrum of the hypergeometric Fourier transform in terms of the generalized resolvent function, Sharp Pitt's inequality and Beckner's logarithmic uncertainty principle for the Weinstein transform, Paley-Wiener-type theorems associated to the Laplace-Bessel operator, Symmetrically global pseudo-differential operators involving the Weinstein transform, Real Paley–Wiener theorems and local spectral radius formulas, New Paley-Wiener theorems, Hardy-type inequalities associated with the Weinstein operator, On the range of the Opdam-Cherednik transform and Roe's theorem in the Cherednik setting

Cites Work

• Best constants in the Harnack inequality for the Weinstein equation
• New type Paley-Wiener theorems for the modified multidimensional Mellin transform
• On the range of the Hankel and extended Hankel transforms
• Paley-Wiener-type theorems for a class of integral transforms
• On the range of the Chébli-Trimèche transform
• New Type Paley-Wiener Theorems for the Dunkl Transform on R
• Functions with Bounded Spectrum
• On the range of the Y-transform
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