Reproducing Kernels of Weight Square-Summable Sequences Hilbert Spaces
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.
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 times per year
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© 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.