Harmonic analysis on non-semisimple symmetric spaces |
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Authors: | Ronald L Lipsman |
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Institution: | (1) Department of Mathematics, University of Maryland, 20742 College Park, MD, USA |
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Abstract: | It is proven that theL
2 spectrum for certain non-semisimple, non-nilpotent symmetric spaces is multiplicity-free. The spectrum and spectral measure
are computed precisely for symmetric spaces corresponding to non-compact motion groups. Somewhat less complete results on
theL
2 spectrum — in both the Mackey Machine and Orbit Method modes — are given for general semidirect product symmetric spaces.
The author was supported by the NSF through DMS84-00900-A01 and by a Senior Fulbright Fellowship. |
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Keywords: | |
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