<abstract xmlns="http://www.w3.org/1999/xhtml">In this paper we will introduce the concept of weighted reproducing kernel of <italic>l</italic>2(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 <italic>l</italic>2(ℂ) space on weight.</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.

Reproducing Kernels of Weight Square-Summable Sequences Hilbert Spaces

Faculty of Mathematics and Information Science

Annales Mathematicae Silesianae

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"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...

Reproducing Kernels of Weight Square-Summable Sequences Hilbert Spaces

Publié en ligne: 18 juil. 2019

Pages: 298 - 305

Reçu: 21 oct. 2017

Accepté: 31 déc. 2018

DOI: https://doi.org/10.2478/amsil-2018-0015

Mots clés
reproducing kernel, Hilbert space, square-summable sequences

© 2019 Tomasz Łukasz Żynda, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Reproducing Kernels of Weight Square-Summable Sequences Hilbert Spaces

Publié en ligne: 18 juil. 2019

Pages: 298 - 305

Reçu: 21 oct. 2017

Accepté: 31 déc. 2018

DOI: https://doi.org/10.2478/amsil-2018-0015

Mots clésreproducing kernel, Hilbert space, square-summable sequences

© 2019 Tomasz Łukasz Żynda, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Mots clés
reproducing kernel, Hilbert space, square-summable sequences