Work

Schatten class Localization Operators for Wigner transform associated with the Jacobi-Dunkl operator

Year: 2025

Type: article

Abstract: The main purpose of this paper is to define the Wigner transform associated with the Jacobi-Dunkl operator and to give some results related to this transform as inversion formula, next motivated by Wong’s point of view we define a class of pseudo-differential operator Lu,v() called localization operator wich depend on a symbol σ and two functions u and v, we give a criteria in terms of the symbol σ for its boundedness and compactness,we also show that these operators belongs to the Schatten-Von Neumann class Sp for all p [1; +] and we give a trace formula.

Source: Boletim da Sociedade Paranaense de Matemática

DOI: 10.5269/bspm.68306

Authors: Ahmed Chana, Abdellatif Akhlidj

Institution: Université Hassan II Mohammedia

Language: English

Topic: Mathematical Analysis and Transform Methods

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4407680401

FWCI:

Cites: 21

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Related to: 10