Poisson summation formulas and inversion theorems for an infinite continuous Legendre trans\-form

DOI10.1007/s00041-005-3073-6zbMath1090.42016OpenAlexW2037460579MaRDI QIDQ818490

Roland Girgensohn

Publication date: 21 March 2006

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

Full work available at URL: https://doi.org/10.1007/s00041-005-3073-6

zbMATH Keywords

Legendre transformPoisson formula

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

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On the duality of discrete and periodic functions

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