包含分数傅立叶变换的广义伪微分算子

Q3 Mathematics

Nonlinear Functional Analysis and Applications Pub Date : 2021-02-23 DOI:10.22771/NFAA.2021.26.01.08

B. B. Waphare, P. Pansare

引用次数: 0

摘要

定义了与符号a (x, y)相关联的包含分数阶傅里叶变换的广义伪微分算子，其导数满足一定的增长条件。证明了两个广义伪微分算子的乘积是一个广义伪微分算子。

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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GENERALIZED PSEUDO-DIFFERENTIAL OPERATORS INVOLVING FRACTIONAL FOURIER TRANSFORM

Generalized pseudo-differential operators (PDO) involving fractional Fourier transform associate with the symbol a ( x, y ) whose derivatives satisfy certain growth condition is defined. The product of two generalized pseudo-differential operators is shown to be a generalized pseudo-differential operator.

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来源期刊

Nonlinear Functional Analysis and Applications Mathematics-Analysis

CiteScore

1.90

自引率

0.00%

发文量

期刊介绍： The international mathematical journal NFAA will publish carefully selected original research papers on nonlinear functional analysis and applications, that is, ordinary differential equations, all kinds of partial differential equations, functional differential equations, integrodifferential equations, control theory, approximation theory, optimal control, optimization theory, numerical analysis, variational inequality, asymptotic behavior, fixed point theory, dynamic systems and complementarity problems. Papers for publication will be communicated and recommended by the members of the Editorial Board.