SPHERICAL HARMONICS ASSOCIATED TO THE LAPLACE–BESSEL OPERATOR AND GENERALIZED SPHERICAL CONVOLUTIONS
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Publication:4474581
DOI10.1142/S0219530503000077zbMath1060.42020MaRDI QIDQ4474581
Publication date: 12 July 2004
Published in: Analysis and Applications (Search for Journal in Brave)
Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Spherical harmonics (33C55)
Related Items (9)
On the BMO spaces associated with the Laplace-Bessel differential operator ⋮ Inequalities related to spherical harmonics associated with the Weinstein operator ⋮ The Fourier transform associated to the \(k\)-hyperbolic Dirac operator ⋮ Sharp Pitt's inequality and Beckner's logarithmic uncertainty principle for the Weinstein transform ⋮ The Gaussian convolution and reproducing kernels associated with the Hankel multidimensional operator ⋮ Paley-Wiener-type theorems associated to the Laplace-Bessel operator ⋮ Unnamed Item ⋮ Weinstein-Sobolev spaces of exponential type and applications ⋮ Generalized translation operator and approximation in several variables
Cites Work
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- Funk-Hecke Formula for Orthogonal Polynomials on Spheres and on Balls
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- AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION
- Generalized axially symmetric potential theory
- Positive Zonal Functions on Spheres
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