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

  • Fethi Soltani EMAIL logo and Meriem Nenni
Published/Copyright: June 26, 2024
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Abstract

In this paper, we give some applications of the Dunkl-type Segal–Bargmann transform α 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 α ( d ) .

MSC 2020: 44A05; 44A20; 35Q41

Acknowledgements

The authors would like to thank the referee for the careful reading and editing of the paper.

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Received: 2023-12-20
Revised: 2024-02-01
Accepted: 2024-02-12
Published Online: 2024-06-26
Published in Print: 2025-02-01

© 2024 Walter de Gruyter GmbH, Berlin/Boston

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