Canonical potential and Lp-Sobolev space involving linear canonical Fourier transform

IF 0.7 3区数学 Q2 MATHEMATICS

Integral Transforms and Special Functions Pub Date : 2022-09-12 DOI:10.1080/10652469.2022.2118737

A. Prasad, Amit Kumar

引用次数: 0

Abstract

The main objective of this paper is to enrich the theoretical system of the linear canonical Fourier transform (LCFT) by introducing the canonical potential and corresponding -Sobolev space. Moreover, the Schwartz-type space is introduced. Further, pseudo-differential operator (PDO) is defined and obtained its another integral representation. The -boundedness result for the pseudo-differential operator associated with the LCFT is discussed. Some applications of Sobolev-type spaces and are given.

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正则势和涉及线性正则傅里叶变换的Lp-Sobolev空间

本文的主要目的是通过引入正则势和相应的-Sobolev空间来丰富线性正则傅里叶变换的理论体系。此外，还引入了史瓦兹型空间。进一步，定义了伪微分算子(PDO)，并给出了它的另一种积分表示。讨论了与LCFT相关的伪微分算子的-有界性结果。给出了sobolev型空间的一些应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Integral Transforms and Special Functions 数学-数学

CiteScore

2.20

自引率

20.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Integral Transforms and Special Functions belongs to the basic subjects of mathematical analysis, the theory of differential and integral equations, approximation theory, and to many other areas of pure and applied mathematics. Although centuries old, these subjects are under intense development, for use in pure and applied mathematics, physics, engineering and computer science. This stimulates continuous interest for researchers in these fields. The aim of Integral Transforms and Special Functions is to foster further growth by providing a means for the publication of important research on all aspects of the subjects.