A description of smooth vectors of the Weil representation in the geometric realization

DOI10.1007/S10688-006-0039-7zbMath1117.43006OpenAlexW2093474288MaRDI QIDQ883638

A. V. Stoyanovskii

Publication date: 5 June 2007

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-006-0039-7

zbMATH Keywords

Weil representationSchwartz spaceSiegel upper half-plane

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Grassmannians, Schubert varieties, flag manifolds (14M15) Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Analysis on other specific Lie groups (43A80) Lie algebras of linear algebraic groups (17B45)

Related Items (1)

Distributions and differential operators on infinite-dimensional space and their application to mathematical quantization of fields

Cites Work

• The Weil representation, Maslov index and theta series
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