Boundedness of certain linear operators on twisted Fock spaces

被引：0
|
作者：
Garg, Rahul [1 ]
Thangavelu, Sundaram [2 ]
机构：
[1] Indian Inst Sci Educ & Res Bhopal, Dept Math, Bhopal 462066, India
[2] Indian Inst Sci, Dept Math, Bangalore 560012, India
来源：
MATHEMATISCHE ZEITSCHRIFT | 2024年 / 307卷 / 02期
关键词：
Weyl transform; Segal-Bargmann transform; Twisted Bergman spaces; Twisted Fock spaces; Uncertainty principle; WEYL TRANSFORM;
D O I：
10.1007/s00209-024-03500-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
On the twisted Fock spaces F-lambda(C-2n) we consider two types of convolution operators S-phi(lambda) and (sic)S-phi(lambda) associated to an element phi is an element of F-lambda(C-2n). We find a necessary and sufficient condition on phi so that S-phi(lambda)(resp. (sic)S-phi(lambda)) is bounded on F-lambda(C-2n). We show that for any given non constant phi at least one of these two operators is unbounded.
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页数：24
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