Approximation of functions with zero integrals over balls by linear combinations of the Laplace operator eigenfunctions

DOI10.1007/S10958-011-0530-4zbMath1291.41012OpenAlexW2037628241MaRDI QIDQ2248608

Daniel A. Zaraisky

Publication date: 27 June 2014

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-011-0530-4

zbMATH Keywords

approximationconvolution equationsrank-one symmetric spacesLaplace operator eigenfunctionsgeneralized spherical functions

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Approximation by other special function classes (41A30)

Cites Work

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• Harmonic Analysis of Mean Periodic Functions on Symmetric Spaces and the Heisenberg Group

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