The analytic continuation of the discrete series. I

Nolan R. Wallach

Type: Article

Publication Date: 1979-01-01

Citations: 4

DOI: https://doi.org/10.1090/s0002-9947-1979-0531967-2

Abstract

In this paper the analytic continuation of the holomorphic discrete series is defined. The most elementary properties of these representations are developed. The study of when these representations are unitary is begun.

Locations

Transactions of the American Mathematical Society - View - PDF

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+	Limits of holomorphic discrete series	1972	Anthony W. Knapp K. Okamoto
+	Factors of automorphy and Fock representations	1971	Ichirō Satake
+	Representations of Semisimple Lie Groups VI: Integrable and Square-Integrable Representations	1956	Harish-chandra Harish-Chandra
+ PDF Chat	Discrete series for semisimple Lie groups. II: Explicit determination of the characters	1966	Harish-chandra Harish-Chandra
+ PDF Chat	Representations of a Semisimple Lie Group on a Banach Space. I	1953	Harish-chandra Harish-Chandra
+	A Course of Modern Analysis	1996	E. T. Whittaker G. N. Watson
+	Representations of Semisimple Lie Groups IV	1955	Harish-chandra Harish-Chandra