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 <>
Submitted on : Friday, January 18, 2019 - 10:06:35 AM
Last modification on : Wednesday, January 23, 2019 - 1:19:45 AM

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  • HAL Id : hal-01985540, version 1
  • ARXIV : 1901.07215

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Alix Deleporte. WKB eigenmode construction for analytic Toeplitz operators. 2019. ⟨hal-01985540⟩

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