Analytic Complexity: Functions with One-Dimensional Stabilizer in the Gauge Group

IF 0.6 4区数学 Q3 MATHEMATICS

Mathematical Notes Pub Date : 2024-07-15 DOI:10.1134/s0001434624050043

V. K. Beloshapka

引用次数: 0

Abstract

A differential condition for an analytic function of two variables to have one-dimensional stabilizer in the gauge pseudogroup is obtained. A multiplicative representation (by homogeneous functions) of such functions is given. The stabilizer theorem is improved, and two important examples are constructed. Questions are posed.

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分析复杂性：具有一维稳定器的量规群函数

摘要获得了二变量解析函数在轨距伪群中具有一维稳定器的微分条件。给出了此类函数的乘法表示（通过同质函数）。改进了稳定器定理，并构建了两个重要实例。提出了一些问题。

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

Mathematical Notes 数学-数学

CiteScore

0.90

自引率

16.70%

发文量

179

审稿时长

24 months

期刊介绍： Mathematical Notes is a journal that publishes research papers and review articles in modern algebra, geometry and number theory, functional analysis, logic, set and measure theory, topology, probability and stochastics, differential and noncommutative geometry, operator and group theory, asymptotic and approximation methods, mathematical finance, linear and nonlinear equations, ergodic and spectral theory, operator algebras, and other related theoretical fields. It also presents rigorous results in mathematical physics.