Fourier transforms for affine automorphism groups on Siegel domains

DOI10.2969/JMSJ/04320247zbMath0741.22007OpenAlexW2090461449MaRDI QIDQ1176085

Junko Inoue

Publication date: 25 June 1992

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/04320247

zbMATH Keywords

Fourier transformcompact operatorLie algebrasintegrable functionsolvable Lie groupsirreducible unitary representationsquare integrable representationsconnected Lie groupleft Haar measureaffine automorphisms on Siegel domainsnormal \(j\)- algebras

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Analysis on real and complex Lie groups (22E30) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) Analysis on other specific Lie groups (43A80)

Related Items (1)

The solvable Lie group \(N_{6, 28}\): an example of an almost \(C_0(\mathcal{K})\)-\(C^*\)-algebra

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