Szegö kernels, Toeplitz operators, and equivariant fixed point formulae

DOI10.1007/s11854-008-0048-yzbMath1160.32004arXiv0707.1375OpenAlexW2963305228MaRDI QIDQ1001390

Roberto Paoletti

Publication date: 17 February 2009

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.1375

zbMATH Keywords

Lie groupToeplitz operatorsG-actionSzegö kernelHeisenberg structureunitary equivariant isomorphism

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Lie algebras of linear algebraic groups (17B45) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

Related Items (7)

Equivariant fixed point formulae and Toeplitz operators under Hamiltonian torus actions and remarks on equivariant asymptotic expansions ⋮ Local scaling asymptotics for the Gutzwiller trace formula in Berezin-Toeplitz quantization ⋮ SCALING ASYMPTOTICS FOR QUANTIZED HAMILTONIAN FLOWS ⋮ LOCAL TRACE FORMULAE AND SCALING ASYMPTOTICS IN TOEPLITZ QUANTIZATION ⋮ Asymptotics of Szegő kernels under Hamiltonian torus actions ⋮ Local trace formulae and scaling asymptotics for general quantized Hamiltonian flows ⋮ Local scaling asymptotics in phase space and time in Berezin–Toeplitz quantization

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