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Abstract
We provide almost eigenfunctions for Toeplitz operators with real-analytic symbols,
at the bottom of nondegenerate wells. These quasimodes follow the WKB ansatz; the
error is
O ( e − c N ) ,
where
c
> 0
and
N
→
+ ∞ is
the inverse semiclassical parameter.
Keywords
semiclassical, Berezin–Toeplitz, Toeplitz, analytic,
spectral theory, WKB
Mathematical Subject Classification
Primary: 32A25, 35A20, 35P10, 35Q40, 81Q20
Secondary: 32W50, 58J40, 58J50
Milestones
Received: 13 July 2021
Revised: 19 April 2022
Accepted: 26 August 2022
Published: 26 June 2023
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