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  Analytic eigenbranches in the semi-classical limit

Haller, S. (2020). Analytic eigenbranches in the semi-classical limit. Complex Analysis and Operator Theory, 14(5): 52. doi:10.1007/s11785-020-01011-4.

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arXiv:2001.07154.pdf (Preprint), 132KB
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Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.

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 Creators:
Haller, Stefan1, Author           
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1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Spectral Theory, Analysis of PDEs
 Abstract: We consider a one parameter family of Laplacians on a closed manifold and
study the semi-classical limit of its analytically parametrized eigenvalues.
Our results are analogous to a theorem for scalar Schr\"odinger operators on
Euclidean space by Luc Hillairet and apply to geometric operators like Witten's
Laplacian associated with a Morse function.

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Language(s): eng - English
 Dates: 2020
 Publication Status: Issued
 Pages: 8
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 2001.07154
DOI: 10.1007/s11785-020-01011-4
 Degree: -

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Title: Complex Analysis and Operator Theory
  Abbreviation : Complex Anal. Oper. Theory
Source Genre: Journal
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Publ. Info: Birkhäuser
Pages: - Volume / Issue: 14 (5) Sequence Number: 52 Start / End Page: - Identifier: -