拟基和其他向量序列的摄动结果

IF 0.5 4区数学 Q3 MATHEMATICS Journal of Mathematical Physics Analysis Geometry Pub Date : 2023-03-17 DOI:10.1063/5.0131314

F. Bagarello, R. Corso

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引用次数: 1

摘要

我们讨论了Hilbert空间中某些向量序列对的摄动结果[公式:见文]，并生成了与原序列相同的新序列，这些新序列在[公式:见文]的稠密子空间上或在整个空间上具有重构公式。我们也提出了一些关于同样问题的初步结果，但在分布设置。

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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Some perturbation results for quasi-bases and other sequences of vectors

We discuss some perturbation results concerning certain pairs of sequences of vectors in a Hilbert space [Formula: see text] and producing new sequences, which share, with the original ones, reconstruction formulas on a dense subspace of [Formula: see text] or on the whole space. We also propose some preliminary results on the same issue, but in a distributional settings.

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来源期刊

Journal of Mathematical Physics Analysis Geometry PHYSICS, MATHEMATICAL-

CiteScore

0.70

自引率

20.00%

发文量

审稿时长

>12 weeks

期刊介绍： Journal of Mathematical Physics, Analysis, Geometry (JMPAG) publishes original papers and reviews on the main subjects: mathematical problems of modern physics; complex analysis and its applications; asymptotic problems of differential equations; spectral theory including inverse problems and their applications; geometry in large and differential geometry; functional analysis, theory of representations, and operator algebras including ergodic theory. The Journal aims at a broad readership of actively involved in scientific research and/or teaching at all levels scientists.