Reproducing Kernels of Weight Square-Summable Sequences Hilbert Spaces

In this paper we will introduce the concept of weighted reproducing kernel of l2(ℂ) space, in similiar way as it is done in case of weighted reproducing kernel of Bergman space. We will give an explicit formula for it and prove that it depends analytically on weight. In addition, we will show some t...

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Bibliographic Details
Main Author: Żynda Tomasz Łukasz
Format: Article
Language:English
Published: Sciendo 2019-09-01
Series:Annales Mathematicae Silesianae
Subjects:
Online Access:http://www.degruyter.com/view/j/amsil.2019.33.issue-1/amsil-2018-0015/amsil-2018-0015.xml?format=INT