Discrete Limit Theorems for General Dirichlet Series. II

2004 ◽  
Vol 44 (1) ◽  
pp. 71-77 ◽  
Author(s):  
R. Macaitienė
Keyword(s):  
Dirichlet Series ◽  
Limit Theorems ◽  
General Dirichlet Series

Discrete limit theorems for general Dirichlet series. III

2004 ◽  
Vol 2 (3) ◽  
pp. 339-361 ◽  
Author(s):  
A. Laurinčikas ◽  
R. Macaitienė
Keyword(s):  
Dirichlet Series ◽  
Limit Theorems ◽  
General Dirichlet Series

JOINT WEIGHTED LIMIT THEOREMS FOR GENERAL DIRICHLET SERIES

2011 ◽  
Vol 16 (1) ◽  
pp. 39-51
Author(s):  
Jonas Genys ◽  
Antanas Laurinčikas
Keyword(s):  
Weak Convergence ◽  
Dirichlet Series ◽  
Limit Theorems ◽  
Random Element ◽  
Probability Measures ◽  
Limit Measure ◽  
Additional Hypothesis ◽  
General Dirichlet Series ◽  
Convergence Of Probability Measures ◽  
Weighted Limit

In the paper,two joint weighted limit theorems in the sense of weak convergence of probability measures on the complex plane for general Dirichlet series are obtained. The first of them gives only the existence of the limit measure, while in the second theorem,under some additional hypothesis on the weight function, the explicit form of the limit measure is presented. Namely, the limit measure coincides with the distribution of some random element related to considered Dirichlet series.

scholarly journals Variants of a theorem of Helson on general Dirichlet series

2020 ◽  
Vol 279 (5) ◽  
pp. 108569 ◽  
Author(s):  
Andreas Defant ◽  
Ingo Schoolmann
Keyword(s):  
Dirichlet Series ◽  
General Dirichlet Series

A discrete universality theorem for general Dirichlet series

Analysis ◽  
2006 ◽  
Vol 26 (3) ◽  
Author(s):  
Renata Macaitiene
Keyword(s):  
Dirichlet Series ◽  
General Dirichlet Series ◽  
Universality Theorem ◽  
Discrete Universality

We prove a discrete universality theorem for functions given by general Dirichlet series, satisfying several conditions.

scholarly journals Vector-valued general Dirichlet series

2020 ◽  
Author(s):  
Daniel Carando ◽  
Andreas Defant ◽  
Felipe Marceca ◽  
Ingo Schoolmann
Keyword(s):  
Dirichlet Series ◽  
General Dirichlet Series ◽  
Vector Valued
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