标度超复数上的正则函数

IF 0.8 3区数学 Q2 MATHEMATICS

Integral Equations and Operator Theory Pub Date : 2024-02-26 DOI:10.1007/s00020-024-02756-9

Daniel Alpay, Ilwoo Cho

引用次数: 0

摘要

在本文中，我们通过研究合适的微分算子\(\left\{ \mathbb {H}_{t}\right\} _{t\in \mathbb {R}}\)的内核，来研究尺度超复数(\left\{ \mathbb {H}_{t}\right\} _{t\in \mathbb {R}}\)的开放连通子集上的（\(\left\{ \mathbb {H}_{t}\right\} _{t\in \mathbb {R}}\）可微函数的正则性、直到实域的尺度为止

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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Regular Functions on the Scaled Hypercomplex Numbers

In this paper, we study the regularity of \(\mathbb {R}\)-differentiable functions on open connected subsets of the scaled hypercomplex numbers \(\left\{ \mathbb {H}_{t}\right\} _{t\in \mathbb {R}}\) by studying the kernels of suitable differential operators \(\left\{ \nabla _{t}\right\} _{t\in \mathbb {R}}\), up to scales in the real field \(\mathbb {R}\).

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来源期刊

Integral Equations and Operator Theory 数学-数学

CiteScore

1.60

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： Integral Equations and Operator Theory (IEOT) is devoted to the publication of current research in integral equations, operator theory and related topics with emphasis on the linear aspects of the theory. The journal reports on the full scope of current developments from abstract theory to numerical methods and applications to analysis, physics, mechanics, engineering and others. The journal consists of two sections: a main section consisting of refereed papers and a second consisting of short announcements of important results, open problems, information, etc.