A unified radon inversion formula

A unified radon inversion formula

A Radon inversion formula which holds in spaces of even or odd dimension n is obtained for functions which admit to a certain general decomposition. The inversion formula which is one member of a Gegenbauer transform pair is used to generate some interesting definite integrals involving special func...

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Veröffentlicht in:J. Math. Phys. (N.Y.); (United States) 1978-11, Vol.19 (11), p.2346-2349
1. Verfasser: Deans, Stanley R.
Format: Artikel
Sprache:eng
Schlagworte:
EQUATIONS
EUCLIDEAN SPACE
FUNCTIONS
GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
INTEGRAL EQUATIONS
INTEGRAL TRANSFORMATIONS
MATHEMATICAL SPACE
POLYNOMIALS
RIEMANN SPACE
SPACE
TRANSFORMATIONS 990200 > Mathematics & Computers
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Beschreibung
Zusammenfassung:A Radon inversion formula which holds in spaces of even or odd dimension n is obtained for functions which admit to a certain general decomposition. The inversion formula which is one member of a Gegenbauer transform pair is used to generate some interesting definite integrals involving special functions. Legendre and Tchebycheff transform pairs are discussed as special cases of the general result.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.523592