Distributions of Polynomials in Gaussian Random Variables under Constraints on the Powers of Variables

IF 0.6 4区数学 Q3 MATHEMATICS

Functional Analysis and Its Applications Pub Date : 2022-10-10 DOI:10.1134/S0016266322020034

E. D. Kosov

引用次数: 1

Abstract

We study the densities of measures that are polynomial images of the standard Gaussian measure on \(\mathbb{R}^n\). We assume that the degree of a polynomial is fixed and each variable appears in the monomials of the polynomial to powers bounded by another fixed number.

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变量幂约束下高斯随机变量中多项式的分布

我们在\(\mathbb{R}^n\)上研究了标准高斯测度的多项式图像的测度密度。我们假设多项式的阶是固定的，并且每个变量出现在多项式的单项式中，其幂以另一个固定的数为界。

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

Functional Analysis and Its Applications 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Functional Analysis and Its Applications publishes current problems of functional analysis, including representation theory, theory of abstract and functional spaces, theory of operators, spectral theory, theory of operator equations, and the theory of normed rings. The journal also covers the most important applications of functional analysis in mathematics, mechanics, and theoretical physics.