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Local Asymptotics for Slowly Shrinking Spectral Bands of a Berezin-Toeplitz Operator

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Publication:3168854
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DOI10.1093/imrn/rnq109zbMath1230.47055OpenAlexW2001768319MaRDI QIDQ3168854

Roberto Paoletti

Publication date: 27 April 2011

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imrn/rnq109



Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Geometric quantization (53D50)


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Local scaling asymptotics for the Gutzwiller trace formula in Berezin-Toeplitz quantization ⋮ A Gutzwiller trace formula for large hermitian matrices ⋮ Asymptotic expansion of the off-diagonal Bergman kernel on compact Kähler manifolds



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