A characterization theorem for the Fourier transform on \(R^ n\)

DOI10.1016/0022-247X(88)90014-5zbMath0671.42010MaRDI QIDQ1119859

William O. Bray

Publication date: 1988

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

zbMATH Keywords

Fourier transformBessel functionsHecke-Bochner identities

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Cites Work

• A Characterization of Fourier and Radon Transforms on Euclidean Space
• Bochner Identities for Fourier Transforms
• On Functional Equations and Bounded Linear Transformations
• Spherical Harmonics
• Functional Equations for Linear Transformations
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