J-contractive operator valued functions, vector valued de Branges spaces and functional models

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Mathematical Analysis and Applications Pub Date : 2025-04-08 DOI:10.1016/j.jmaa.2025.129564

Bharti Garg, Santanu Sarkar

引用次数: 0

Abstract

The aim of this paper is to study the vector valued de Branges spaces, which are based on J-contractive operator valued analytic functions, and to explore their role in the functional models for simple, closed, densely defined, symmetric operators with infinite deficiency indices.

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J-契约算子有值函数、向量有值 de Branges 空间和函数模型

本文研究了基于j -压缩算子值解析函数的向量值de brange空间，并探讨了它们在具有无穷缺指标的简单、封闭、密定义对称算子的泛函模型中的作用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Mathematical Analysis and Applications 数学-数学

CiteScore

2.50

自引率

7.70%

发文量

790

审稿时长

6 months

期刊介绍： The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions. Papers are sought which employ one or more of the following areas of classical analysis: • Analytic number theory • Functional analysis and operator theory • Real and harmonic analysis • Complex analysis • Numerical analysis • Applied mathematics • Partial differential equations • Dynamical systems • Control and Optimization • Probability • Mathematical biology • Combinatorics • Mathematical physics.