Reproducing Kernels of Weight Square-Summable Sequences Hilbert Spaces

Tomasz Łukasz Żynda

doi:10.2478/amsil-2018-0015

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Reproducing Kernels of Weight Square-Summable Sequences Hilbert Spaces

Annales Mathematicae Silesianae

Volume 33 (2019): Issue 1 (September 2019)

By: Tomasz Łukasz Żynda

Open Access

|Jul 2019

Abstract

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 theorems about dependance of l²(ℂ) space on weight.

References

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Articles in this issue

DOI: https://doi.org/10.2478/amsil-2018-0015 | Journal eISSN: 2391-4238 | Journal ISSN: 0860-2107

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Language: English

Page range: 298 - 305

Submitted on: Oct 21, 2017

Accepted on: Dec 31, 2018

Published on: Jul 18, 2019

Published by: University of Silesia in Katowice, Institute of Mathematics

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

reproducing kernel,

Hilbert space,

square-summable sequences

Related subjects:

Mathematics,

General mathematics

© 2019 Tomasz Łukasz Żynda, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 33 (2019): Issue 1 (September 2019)