Type I criteria and the Plancherel formula for Lie groups with co-compact radical
Ronald L. Lipsman (1982)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Ronald L. Lipsman (1982)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Niels Vigand Pedersen (1983)
Compositio Mathematica
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L. Pukanszky (1971)
Annales scientifiques de l'École Normale Supérieure
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Adam Kleppner, Ronald Lipsman (1972)
Annales scientifiques de l'École Normale Supérieure
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Hélène Airault, Habib Ouerdiane (2011)
Banach Center Publications
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Consider a Lie group with a unitary representation into a space of holomorphic functions defined on a domain 𝓓 of ℂ and in L²(μ), the measure μ being the unitarizing measure of the representation. On finite-dimensional examples, we show that this unitarizing measure is also the invariant measure for some differential operators on 𝓓. We calculate these operators and we develop the concepts of unitarizing measure and invariant measure for an OU operator (differential operator...
E. KANIUTH, S. Echterhoff, A. Kumar (1991)
Forum mathematicum
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Artiaga, Lucio, Takahashi, Shuichi (1972)
Portugaliae mathematica
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Gregory Margulis (1997)
Bulletin de la Société Mathématique de France
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