Hankel-type Segal-Bargmann transform and its applications to UP and PDEs

被引：1
|
作者：
Soltan, Fethi [1 ,2 ]
机构：
[1] Univ Tunis El Manar, Fac Sci Tunis, Lab Anal Math & Applicat, LR11ES11, Tunis 2092, Tunisia
[2] Univ Carthage, Ecole Natl Ingn Carthage, Tunis 2035, Tunisia
来源：
BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA | 2023年 / 29卷 / 03期
关键词：
Hankel-type Segal-Bargmann transform; Uncertainty inequalities; Time-dependent Schrodinger equations; Time-dependent Dirac equations; GENERALIZED FOCK SPACES; ANALYTIC-FUNCTIONS; HILBERT-SPACE; POLYNOMIALS; OPERATORS;
D O I：
10.1007/s40590-023-00564-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we give some applications of the Hankel-type Segal-Bargmann transform B-alpha to the field of uncertainty inequalities and to the field of partial differential equations. The resolution of the time-dependent Schrodinger equations and the time dependent Dirac equations is based on the techniques of the transmutation operators on the Hankel-type Fock space F-alpha,(*)(C-d).
引用
收藏
页数：26
相关论文
共 50 条
12345