An elementary proof of the Trombi theorem for the Fourier transform of \({\mathcal C}^ p(G:F)\)

zbMath0666.43003MaRDI QIDQ1116400

Masato Wakayama, Masaaki Eguchi

Publication date: 1987

Published in: Hiroshima Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

inverse Fourier transformIwasawa decompositionSchwartz spaceEisenstein integralsHarish-Chandra expansionreal, connected, semisimple Lie group

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) Analysis on other specific Lie groups (43A80)

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