Weighted Fourier-Laplace transforms in reproducing kernel Hilbert spaces on the sphere

DOI10.1016/J.JMAA.2013.10.020zbMath1333.42012OpenAlexW2020195259MaRDI QIDQ902129

Valdir A. Menegatto, Thaís Jordão

Publication date: 7 January 2016

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.10.020

zbMATH Keywords

fractional derivativesspherereproducing kernel Hilbert spacesLaplace-Beltrami derivativesweighted Fourier-Laplace transforms

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Fractional derivatives and integrals (26A33) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

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