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WKB eigenmode construction for analytic Toeplitz operators

Abstract : We provide almost eigenfunctions for Toeplitz operators with real-analytic symbols, at the bottom of non-degenerate wells. These almost eigenfunctions follow the WKB ansatz; the error is O(exp(−cN)), where c > 0 and N → +∞ is the inverse semiclassical parameter.
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https://hal.archives-ouvertes.fr/hal-01985540
Contributor : Alix Deleporte Connect in order to contact the contributor
Submitted on : Wednesday, August 31, 2022 - 11:22:47 AM
Last modification on : Friday, September 2, 2022 - 3:31:54 AM

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  • HAL Id : hal-01985540, version 2
  • ARXIV : 1901.07215

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Alix Deleporte. WKB eigenmode construction for analytic Toeplitz operators. Pure and Applied Analysis, In press. ⟨hal-01985540v2⟩

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