Dunkl-type Segal–Bargmann transform and its applications to some partial differential equations-Reference-Cited by-同舟云学术

Dunkl-type Segal–Bargmann transform and its applications to some partial differential equations

Published:2024-06-26 Issue: Volume: Page:
ISSN:1072-947X
Container-title:Georgian Mathematical Journal
language:en
Short-container-title:

Author:

Soltani Fethi¹,Nenni Meriem²

Affiliation:

1. Faculté des Sciences de Tunis , Laboratoire d’Analyse Mathématique et Applications LR11ES11 , Université de Tunis El Manar , 2092; and Ecole Nationale d’Ingénieurs de Carthage, Université de Carthage , Tunis 2035 , Tunisia

2. Faculté des Sciences de Tunis , Laboratoire d’Analyse Mathématique et Applications LR11ES11 , Université de Tunis El Manar , Tunis 2092 , Tunisia

Abstract

Abstract In this paper, we give some applications of the Dunkl-type Segal–Bargmann transform ℬ α

{\mathscr{B}_{\alpha}}

in the field of partial differential equations, such as the time-dependent Dunkl–Dirac Laplacian equation and the time-dependent Dunkl–Schrödinger equation. The resolution of these types of problems is based on the techniques of the transmutation operators on the Dunkl-type Fock space ℱ α ⁢ ( ℂ d )

{\mathscr{F}_{\alpha}(\mathbb{C}^{d})}

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/gmj-2024-2031/pdf

Reference33 articles.

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