Semiclassical Gevrey operators and magnetic translations

被引：1
|
作者：
Hitrik, Michael [1 ]
Lascar, Richard [2 ]
Sjostrand, Johannes [3 ,4 ]
Zerzeri, Maher [5 ]
机构：
[1] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA
[2] Univ Cote dAzur, JAD UMR 7351, Parc Valrose, F-06108 Nice 02, France
[3] Univ Bourgogne, IMB, 9 Av A Savary,BP 47870, F-21078 Dijon, France
[4] CNRS, UMR 5584, Paris, France
[5] Univ Sorbonne Paris Nord, LAGA UMR7539 CNRS, 99 Ave JB Clement, F-93430 Villetaneuse, France
来源：
JOURNAL OF SPECTRAL THEORY | 2022年 / 12卷 / 01期
关键词：
Gevrey pseudodifferential operator; almost holomorphic extension; FBI transform; Bargmann space; strictly plurisubharmonic weight function; CONTINUITY;
D O I：
10.4171/JST/394
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study semiclassical Gevrey pseudodifferential operators acting on the Bargmann space of entire functions with quadratic exponential weights. Using some ideas from time frequency analysis, we show that such operators are uniformly bounded on a natural scale of exponentially weighted spaces of holomorphic functions, provided that the Gevrey index is greater than or equal to 2.
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页码：53 / 82
页数：30
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