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

共 50 条

[1] Hankel-type Segal–Bargmann transform and its applications to UP and PDEs
Fethi Soltani
Boletín de la Sociedad Matemática Mexicana, 2023, 29
[2] Correction: Hankel-type Segal–Bargmann transform and its applications to UP and PDEs
Fethi Soltani
Boletín de la Sociedad Matemática Mexicana, 2023, 29 (3)
[3] GENERALIZED SEGAL-BARGMANN TRANSFORM AND ITS APPLICATIONS TO THE FIELDS OF UNCERTAINTY
Soltani, Fethi
Nenni, Meriem
PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, 2024, 50 (02): : 222 - 235
[4] Hankel operators on Segal-Bargmann spaces
Deck, T
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON STOCHASTIC ANALYSIS AND APPLICATIONS, 2004, : 17 - 36
[5] THE μ-DEFORMED SEGAL-BARGMANN TRANSFORM IS A HALL TYPE TRANSFORM
Bruce Sontz, Stephen
INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS, 2009, 12 (02) : 269 - 289
[6] Slice Segal-Bargmann transform
Cnudde, L.
De Bie, H.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2017, 50 (25)
[7] Weinstein-type Segal-Bargmann transform and its applications to partial differential equations
Soltani, Fethi
Saadi, Hanen
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2024,
[8] Entropy and the Segal-Bargmann transform
Sontz, SB
JOURNAL OF MATHEMATICAL PHYSICS, 1998, 39 (04) : 2402 - 2417
[9] The Segal-Bargmann transform on a symmetric space of compact type
Stenzel, MB
JOURNAL OF FUNCTIONAL ANALYSIS, 1999, 165 (01) : 44 - 58
[10] Dunkl-type Segal-Bargmann transform and its applications to some partial differential equations
Soltani, Fethi
Nenni, Meriem
GEORGIAN MATHEMATICAL JOURNAL, 2025, 32 (01) : 163 - 174

← 1 2 3 4 5 →