Method of holomorphic extensions in the theory of unitary representations of infinite-dimensional classical groups

G. I. Ol'shankii

Type: Article

Publication Date: 1989-01-01

Citations: 20

DOI: https://doi.org/10.1007/bf01077419

View Publication

Locations

Functional Analysis and Its Applications - View

Similar Works

Action	Title	Year	Authors
+	On holomorphically induced representations of exponential groups = Exponential groupの正則誘導表現について	1977	英徳藤原
+	A theory of generalized functions based on holomorphic semi-groups	1984	de J Jan Graaf
+	A theory of generalized functions based on holomorphic semi-groups	1984	J. de Graaf
+	Extension of Holomorphic Mappings in Infinite Dimension	1996	Yasuo Matsuda
+	Holomorphic highest weight representations of infinite dimensional complex classical groups	1998	Karl‐Hermann Neeb
+	Generalized integrals in Fourier analysis on zero-dimensional groups	2008	В. А. Скворцов Francesco Tulone
+	Extension of Holomorphic Functions	2000	Marek Jarnicki Peter Pflug
+ PDF Chat	Holomorphic representation theory II	1994	Karl‐Hermann Neeb
+ PDF Chat	On the Mickelsson-Faddeev extension and unitary representations	1989	Doug Pickrell
+	Equivalent definitions of holomorphic functions in infinite dimensions	1975	Seán Dineen
+	On holomorphically induced representations of exponential groups	1977	英徳藤原
+ PDF Chat	On holomorphically induced representations of exponential groups	1976	H. Fujiwara
+ PDF Chat	On holomorphically induced representations of exponential groups	1978	H. Fujiwara
+	Holomorphic extensions of representations: (ii) geometry and harmonic analysis	2005	Bernhard Krötz Robert J. Stanton
+	Holomorphic Extensions	2018	Robert C. Gunning
+ PDF Chat	Holomorphic extension of eigenfunctions	2009	Bernhard Krötz Henrik Schlichtkrull
+	Weights of holomorphic extension and restriction	1998	Klas Diederich Gregor Herbort Vincent Michel
+	Unitary extension principle on zero-dimensional locally compact groups	2023	С. Ф. Лукомский Ю. С. Крусс
+	The complex analytic extension of the Fourier series on lie groups	1975	Luis A. Forta-Mattos
+	Holomorphic extension theorem	1975	Peter Kiernan

Works That Cite This (19)

Action	Title	Year	Authors
+ PDF Chat	Iwasawa decompositions of some infinite-dimensional Lie groups	2009	Daniel Beltiţă
+	Representation theory and random point processes	2004	Alexei Borodin Grigori Olshanski
+	The problem of harmonic analysis on the infinite-dimensional unitary group	2003	Grigori Olshanski
+	The classification of locally finite split simple Lie algebras	2001	Karl‐Hermann Neeb Nina Stumme
+	Unitary Highest Weight Representations in Hilbert Spaces of Holomorphic Functions on Infinite Dimensional Domains	1998	Karl‐Hermann Neeb Bent Ørsted
+ PDF Chat	Unitary Representations of Unitary Groups	2014	Karl‐Hermann Neeb
+ PDF Chat	On representations of the infinite symmetric group	1999	Andreĭ Okounkov
+	The representation ring of the unitary groups and Markov processes of algebraic origin	2016	Grigori Olshanski
+	Semibounded representations of hermitian Lie groups	2011	Karl‐Hermann Neeb
+	Separable representations for automorphism groups of infinite symmetric spaces	1990	Doug Pickrell

Works Cited by This (17)

Action	Title	Year	Authors
+ PDF Chat	Symmetric Hilbert Spaces and Related Topics	1972	Alain Guichardet
+	Some recent results on the metaplectic representation	2008	Shlomo Sternberg
+	Lie Groups and Lie Algebras	2002	Nicolás Bourbaki
+	Infinite-dimensional metagonal and metaplectic groups. I. General concepts and metagonal groups	1985	Анатолий Моисеевич Вершик
+	Unitary representations of the diffeomorphism group of the p-adic projective line	1985	Yury A. Neretin
+ PDF Chat	On contractions of semisimple Lie groups	1985	A. H. Dooley John W. Rice
+	Unitary representations of the infinite-dimensional classical groupsU(p, ∞),SO o(p, ∞)Sp(p, ∞) and the corresponding motion groups	1978	Grigori Olshanski
+	On the Segal-Shale-Weil representations and harmonic polynomials	1978	Masaki Kashiwara Michèle Vergne
+	A COMPLETE CLASSIFICATION OF THE REPRESENTATIONS OF $ \mathrm{GL}(\infty)$ CONTAINING THE IDENTITY REPRESENTATION OF THE UNITARY SUBGROUP	1987	N. I. Nessonov
+	Description of unitary representations with highest weight for groups U (p, q)~	1980	Grigori Olshanski