
doi: 10.1137/0510054
Use is made of the Radon transform on even dimensional spaces and Gegenbauer functions of the second kind to obtain a general Gegenbauer transform pair. In the two-dimensional limit the pair reduces to a Chebyshev transform pair.
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Chebyshev transform, integral transforms in distribution spaces, Integral transforms in distribution spaces, Gegenbauer transform, Special integral transforms (Legendre, Hilbert, etc.), Radon transform
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Chebyshev transform, integral transforms in distribution spaces, Integral transforms in distribution spaces, Gegenbauer transform, Special integral transforms (Legendre, Hilbert, etc.), Radon transform
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