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

页数：26

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