Singular integrals on a locally compact Abelian group with an action of a compact group

DOI10.3792/pjaa.58.109zbMath0513.43008OpenAlexW2087811333MaRDI QIDQ1050576

Koichi Saka

Publication date: 1982

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.58.109

zbMATH Keywords

Fourier transformpolar decompositionsemidirect productsingular kernelsmultiplier operatorgeneralized spherical harmonicsgeneralized Riesz transform

Mathematics Subject Classification ID

Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) Harmonic analysis and spherical functions (43A90)

Cites Work

• Bessel functions of matrix argument
• Bessel functions and representation theory. I
• Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
• A Theory of Stiefel Harmonics

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