Realizations of the canonical representation

DOI10.1007/S12044-008-0007-7zbMath1160.43004OpenAlexW2076501297MaRDI QIDQ2427083

Murali Krishna Vemuri

Publication date: 7 May 2008

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-008-0007-7

zbMATH Keywords

Heisenberg groupcanonical commutation relationtrace class operatorssymplectic Fourier transforminductive algebramaximal inductive algebrasperfect realizations

Mathematics Subject Classification ID

Representations of topological algebras with involution (46K10) Abstract operator algebras on Hilbert spaces (47L30) Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65)

Related Items (6)

Inductive algebras for the affine group of a finite field ⋮ Inductive Algebras for Finite Heisenberg Groups ⋮ TANGENTIAL CONVERGENCE OF BOUNDED HARMONIC FUNCTIONS ON GENERALIZED SIEGEL DOMAINS ⋮ The Weyl transform of a measure ⋮ Inductive algebras for compact groups ⋮ Locally compact abelian groups with symplectic self-duality

Cites Work

• Tata lectures on theta. III
• Projections on Invariant Subspaces
• A non-commutative Sobolev estimate and its application to spectral synthesis
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