Work

Pseudo‐differential operators associated with Gyrator transform on Sobolev space

Year: 2024

Type: article

Abstract: The main aim of this article is to focus on the fundamental properties of the gyrator transform on the Schwartz spaces. A more generalization Hörmander symbol class is introduced and studied the boundedness properties of pseudo‐differential operators associated with the gyrator transform. Integral representation and kernel of the pseudo‐differential operators are derived. It is shown that pseudo‐differential operators satisfies certain norm inequalities on Sobolev space. As an application, we have successfully applied the gyrator transform to solve heat equation and Fredholm integral equation.

Source: Mathematical Methods in the Applied Sciences

DOI: 10.1002/mma.10585

Authors: Kanailal Mahato, Shubhanshu Arya

Institution: Banaras Hindu University

Language: English

Topic: Mathematical Analysis and Transform Methods

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W4404055021

FWCI: 3.905

Cites: 24

Cited by: 5

Related to: 10