Reproducing Kernels of Weight Square-Summable Sequences Hilbert Spaces

Autor: Żynda Tomasz Łukasz
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: Annales Mathematicae Silesianae, Vol 33, Iss 1, Pp 298-305 (2019)
Druh dokumentu: article
ISSN: 2391-4238
DOI: 10.2478/amsil-2018-0015
Popis: 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.
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