Complex symmetry in the Fock space of several variables

被引：0

作者：

Hai, Pham Viet ^{[1
]}

Tien, Pham Trong ^{[2
]}

机构：

[1] Hanoi Univ Sci & Technol, Fac Appl Math & Informat, 1 Dai Co Viet, Hanoi, Vietnam

[2] Vietnam Natl Univ, VNU Univ Sci, Fac Math Mech & Informat, Hanoi, Vietnam

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2024年 / 695卷

关键词：

Fock space; Unbounded weighted composition; operators; Semigroup; Complex symmetry; Real symmetry; WEIGHTED COMPOSITION OPERATORS; SEMIGROUPS;

D O I：

10.1016/j.laa.2024.04.030

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the complex symmetry in the several variable Fock space by using the techniques of weighted composition operators and semigroups. We characterize unbounded weighted composition operators that are (real) complex symmetric with respect to a concrete conjugation. Using this characterization, we study complex symmetric semigroups and their generators. We realize such generators as first-order differential operators. (c) 2024 Elsevier Inc. All rights reserved.

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页码：49 / 74

页数：26

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