Approximation Theorems Associated with Multidimensional Fractional Fourier Transform and Applications in Laplace and Heat Equations

In this paper, we establish two approximation theorems for the multidimensional fractional Fourier transform via appropriate convolutions. As applications, we study the boundary and initial problems of the Laplace and heat equations with chirp functions. Furthermore, we obtain the general Heisenberg...

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Bibliographic Details
Main Authors: Yinuo Yang, Qingyan Wu, Seong Tae Jhang, Qianqian Kang
Format: Article
Language:English
Published: MDPI AG 2022-10-01
Series:Fractal and Fractional
Subjects:
Online Access:https://www.mdpi.com/2504-3110/6/11/625