Weighted composition operators on the Fock space: iteration and semigroups

被引：1

作者：

Chalendar, I. ^{[1
]}

Partington, J. R. ^{[2
]}

机构：

[1] Univ Gustave Eiffel, CNRS, UMR 8050, UPEM,LAMA,UPEC, F-77454 Marne La Vallee, France

[2] Univ Leeds, Sch Math, Leeds LS2 9JT, England

来源：

ACTA SCIENTIARUM MATHEMATICARUM | 2023年 / 89卷 / 1-2期

关键词：

Fock space; Composition operator; Weighted composition operator; Iteration; Strongly continuous semigroup;

D O I：

10.1007/s44146-023-00056-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper considers discrete and continuous semigroups of (weighted) composition operators on the Fock space. For discrete semigroups consisting of powers of a single operator, the asymptotic behaviour of the semigroups is analysed. For continuous semigroups and groups, a full classification of possible semigroups is given, and the generator is calculated.

引用

页码：93 / 108

页数：16

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