径向希尔伯特空间中的无条件基

IF 0.8 3区数学 Q2 MATHEMATICS

Izvestiya Mathematics Pub Date : 2022-01-01 DOI:10.1070/IM9071

K. P. Isaev, R. S. Yulmukhametov

引用次数: 0

摘要

利用单项式的范数，证明了可分稳定的抽象径向Hilbert函数空间中可再生核的无条件基存在的充分必要条件。

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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Unconditional bases in radial Hilbert spaces

We prove necessary and (separate) sufficient conditions for the existence of unconditional bases of reproducing kernels in abstract radial Hilbert function spaces that are stable under division, in terms of the norms of monomials.

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来源期刊

Izvestiya Mathematics 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The Russian original is rigorously refereed in Russia and the translations are carefully scrutinised and edited by the London Mathematical Society. This publication covers all fields of mathematics, but special attention is given to: Algebra; Mathematical logic; Number theory; Mathematical analysis; Geometry; Topology; Differential equations.