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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A note on scaling asymptotics for Bohr-Sommerfeld Lagrangian submanifolds
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by Roberto Paoletti PDF
Proc. Amer. Math. Soc. 136 (2008), 4011-4017 Request permission

Abstract:

This paper deals with the asymptotic expansions describing the quantum states associated to Bohr Sommerfeld Lagrangian submanifolds of a compact Kähler manifold, in the context of geometric quantization. More precisely, it provides an improvement on a result of the work of Debernardi and the author (2006), describing a natural factorization of the expansion and providing certain remainder estimates.
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Additional Information
  • Roberto Paoletti
  • Affiliation: Dipartimento di Matematica e Applicazioni, Università degli Studi di Milano Bicocca, Via R. Cozzi 53, 20125 Milano, Italy
  • Email: roberto.paoletti@unimib.it
  • Received by editor(s): October 1, 2007
  • Published electronically: June 2, 2008
  • Communicated by: Jon G. Wolfson
  • © Copyright 2008 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 136 (2008), 4011-4017
  • MSC (2000): Primary 53D12, 53D50; Secondary 81S10, 81Q20, 81Q70
  • DOI: https://doi.org/10.1090/S0002-9939-08-09410-0
  • MathSciNet review: 2425742