On real Paley--Wiener theorems for certain integral transforms.

DOI10.1016/S0022-247X(03)00585-7zbMath1037.43011MaRDI QIDQ1421179

Nils Byrial Andersen

Publication date: 26 January 2004

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

zbMATH Keywords

Jacobi transformPaley-Wiener theoremsChébli-Trimèche transform

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Harmonic analysis on homogeneous spaces (43A85) Other transforms and operators of Fourier type (43A32)

Related Items (10)

Real Paley–Wiener theorem for the quaternion Fourier transform ⋮ On the Paley-Wiener theorem in the Mellin transform setting ⋮ A study of the sequence of norm of derivatives (or primitives) of functions depending on their Beurling spectrum ⋮ A generalization of the Paley-Wiener theorem for Mellin transforms and metric characterization of function spaces ⋮ Local spectral formula for integral operators on \(L_{p}(\mathbb T)\) ⋮ Beurling spectrum of a function in a Banach space ⋮ Real Paley–Wiener theorems and local spectral radius formulas ⋮ Behavior of the sequence of norms of primitives of a function ⋮ The Fourier Chébli-Trimèche transform on Boehmians ⋮ Paley–Wiener theorem for functions inL_p(ℝⁿ)

Cites Work

• Unnamed Item
• A new proof of a Paley-Wiener type theorem for the Jacobi transform
• Fourier transforms of Schwartz functions on Chébli-Trimèche hypergroups
• Paley-Wiener-type theorems for a class of integral transforms
• Real Paley-Wiener theorems for the inverse Fourier transform on a Riemannian symmetric space.
• Paley-Wiener type theorems for a differential operator connected with symmetric spaces

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