s和s '型的广义空间

Bukovinsʹkij matematičnij žurnal Pub Date : 2023-01-01 DOI:10.31861/bmj2023.01.01

V. Gorodetskiy, R. Kolisnyk, N. Shevchuk

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引用次数: 0

摘要

本文研究了$ S $型广义空间的拓扑结构及其基本运算。研究了$ S $型广义空间的拟解析性(非拟解析性)问题。研究了一类伪微分算子，S'$空间中广义函数的傅里叶变换性质，卷积，卷积和乘子。

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 SPACES OF S AND S′ TYPES

In paper the topological structure of generalized spaces of $ S $ type and the basic operations in such spaces was investigated. The question of quasi-analyticity (non-quasi-analyticity) of generalized spaces of $ S $ type was studied. Some classes of pseudodifferential operators, properties of Fourier transformation of generalized functions from spaces of type $S'$, convolutions, convoluters and multipliers was investigated.

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Bukovinsʹkij matematičnij žurnal

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