伪微分算子和傅立叶算子的映射性质

IF 0.7 3区数学 Q2 MATHEMATICS

Zeitschrift fur Analysis und ihre Anwendungen Pub Date : 2022-01-17 DOI:10.4171/zaa/1710

H. Triebel

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引用次数: 2

摘要

$\mathbb{R}^n$中的傅里叶变换与合适的伪微分算子的复合称为傅里叶算子。它在适当的函数空间中是紧致的。本文讨论了它的光谱理论。这是基于傅里叶变换的映射性质，如在前面的论文中开发的和伪微分算子的相关断言。

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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Mapping properties of pseudodifferential and Fourier operators

The composition of the Fourier transform in $\mathbb{R}^n$ with a suitable pseudodifferential operator is called a Fourier operator. It is compact in appropriate function spaces. The paper deals with its spectral theory. This is based on mapping properties of the Fourier transform as developed in a preceding paper and related assertions for pseudodifferential operators.

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来源期刊

Zeitschrift fur Analysis und ihre Anwendungen 数学-数学

CiteScore

1.80

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Analysis and its Applications aims at disseminating theoretical knowledge in the field of analysis and, at the same time, cultivating and extending its applications. To this end, it publishes research articles on differential equations and variational problems, functional analysis and operator theory together with their theoretical foundations and their applications – within mathematics, physics and other disciplines of the exact sciences.