Bases of exponentials in weighted spaces generated by zeros of functions of sine type

2011 ◽  
Vol 89 (5-6) ◽  
pp. 853-870
Author(s):  
A. M. Sedletskii
Keyword(s):  
Weighted Spaces ◽  
Zeros Of Functions

scholarly journals Zeros of Functions in Bergman-Type Hilbert Spaces of Dirichlet Series

2016 ◽  
Vol 119 (2) ◽  
pp. 237
Author(s):  
Ole Fredrik Brevig
Keyword(s):  
Hilbert Space ◽  
Real Number ◽  
Dirichlet Series ◽  
Hilbert Spaces ◽  
Hardy Spaces ◽  
Weighted Spaces ◽  
Number Of Divisors ◽  
Zeros Of Functions

For a real number $\alpha$ the Hilbert space $\mathscr{D}_\alpha$ consists of those Dirichlet series $\sum_{n=1}^\infty a_n/n^s$ for which $\sum_{n=1}^\infty |a_n|^2/[d(n)]^\alpha < \infty$, where $d(n)$ denotes the number of divisors of $n$. We extend a theorem of Seip on the bounded zero sequences of functions in $\mathscr{D}_\alpha$ to the case $\alpha>0$. Generalizations to other weighted spaces of Dirichlet series are also discussed, as are partial results on the zeros of functions in the Hardy spaces of Dirichlet series $\mathscr{H}^p$, for $1\leq p <2$.

Zeros of functions in weighted spaces with mixed norm

2013 ◽  
Vol 94 (1-2) ◽  
pp. 266-280 ◽  
Author(s):  
E. A. Sevast’yanov ◽  
A. A. Dolgoborodov
Keyword(s):  
Weighted Spaces ◽  
Mixed Norm ◽  
Zeros Of Functions

scholarly journals Semi-Exponential Operators

Symmetry ◽  
2021 ◽  
Vol 13 (4) ◽  
pp. 637
Author(s):  
Monika Herzog
Keyword(s):  
Exponential Type ◽  
Probabilistic Approach ◽  
Weighted Spaces ◽  
Approximation Properties

In this paper we study approximation properties of exponential-type operators for functions from exponential weighted spaces. We focus on some modifications of these operators and we derive a new example of such operators. A probabilistic approach for these modifications is also demonstrated.

scholarly journals Dunkl generalization of Phillips operators and approximation in weighted spaces

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
M. Mursaleen ◽  
Md. Nasiruzzaman ◽  
A. Kılıçman ◽  
S. H. Sapar
Keyword(s):  
Weighted Spaces ◽  
Phillips Operators
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