Weil representation and norms of Gaussian operators

DOI10.1007/BF01079009zbMath0848.22017OpenAlexW2081304045MaRDI QIDQ1909911

Grigori Olshanski

Publication date: 28 May 1996

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

Full work available at URL: https://doi.org/10.1007/bf01079009

zbMATH Keywords

Hilbert spaceunitary representationFock spaceweak operator topologymetaplectic groupscontraction operatorsGaussian operatorsShale-Segal-Weil representations

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Semisimple Lie groups and their representations (22E46)

Related Items (3)

The Rogers-Selberg recursions, the Gordon-Andrews identities and intertwining operators ⋮ Elliptic deformations of current algebras and their representations by difference operators ⋮ Grigori Iosifovich Olshanski

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• Oscillator semigroup over a non-archimedean field
• Some Problems in Integral Geometry and Some Related Problems in Micro-Local Analysis
• Harmonic Analysis in Phase Space. (AM-122)
• Linear Symmetries of Free Boson Fields

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