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Funktsional'nyi Analiz i ego Prilozheniya, 2006, Volume 40, Issue 3, Pages 90–93
DOI: https://doi.org/10.4213/faa750 (Mi faa750) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Brief communications

A Description of Smooth Vectors of the Weil Representation in the Geometric Realization

A. V. Stoyanovskii

Independent University of Moscow
Full-text PDF (154 kB) Citations (1) English version article
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DOI: https://doi.org/10.4213/faa750
Abstract: We describe the image of the Weil representation of the double covering of the symplectic group in the Schwartz space in the so-called geometric realization, i.e., in holomorphic functions on the symmetric domain called the Siegel upper half-plane.
Keywords: Weil representation, Schwartz space, Siegel upper half-plane.
Received: 08.02.2005
English version:
Functional Analysis and Its Applications, 2006, Volume 40, Issue 3, Pages 241–243
DOI: https://doi.org/10.1007/s10688-006-0039-7
Bibliographic databases:
Document Type: Article
UDC: 512.815
Language: Russian
Citation: A. V. Stoyanovskii, “A Description of Smooth Vectors of the Weil Representation in the Geometric Realization”, Funktsional. Anal. i Prilozhen., 40:3 (2006), 90–93; Funct. Anal. Appl., 40:3 (2006), 241–243
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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