Special affine Fourier transform of tempered distributions and pseudo-differential operators

被引：1

作者：

Kumar, Manish ^{[1
]}

机构：

[1] Birla Inst Technol & Sci Pilani, Dept Math, Hyderabad Campus, Hyderabad 500078, India

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2024年 / 35卷 / 10期

关键词：

Special affine Fourier transform; pseudo-differential operators; generalized heat equations; FRACTIONAL FOURIER; EIGENFUNCTIONS; OPERATIONS;

D O I：

10.1080/10652469.2024.2356130

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The primary aim is to develop a new class of pseudo-differential operators by incorporating the Special Affine Fourier Transform (SAFT) and some of its fundamental properties in Schwartz and tempered distribution space. The secondary aim is to explore the utility of the SAFT in constructing a new generalized heat equation and derive its analytical solution. Further, we have investigated particular cases of the proposed generalized heat equation. Furthermore, we have visually illustrated solutions of this equation via MATLAB R2023b.

引用

页码：561 / 576

页数：16

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