Harmonic analysis on tube-type affine homogeneous phase spaces

DOI10.1063/1.530854zbMath0831.43005OpenAlexW2031337961MaRDI QIDQ4318029

Qihong Fan

Publication date: 2 January 1995

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.530854

zbMATH Keywords

wavelet analysisLie groupcoherent statesaffine groupsphase space analysishomogeneous space unitary representation

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Measures on groups and semigroups, etc. (43A05) Nilpotent and solvable Lie groups (22E25)

Cites Work

• Mathematical problems of stochastic quantum mechanics: Harmonic analysis on phase space and quantum geometry
• Extended harmonic analysis of phase space representations for the Galilei group
• On the regular representation of a nonunimodular locally compact group
• Representations of certain solvable Lie groups on Hilbert spaces of holomorphic functions and the application to the holomorphic discrete series of a semisimple Lie group

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