Discrete limit theorems for general Dirichlet series. III

Discrete limit theorems for general Dirichlet series. III

Here we prove a limit theorem in the sense of the weak convergence of probability measures in the space of meromorphic functions for a general Dirichlet series. The explicit form of the limit measure in this theorem is given.

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Bibliographische Detailangaben
Veröffentlicht in:Open mathematics (Warsaw, Poland) Poland), 2004-06, Vol.2 (3), p.339-361
Hauptverfasser: Laurinčikas, A., Macaitienė, R.
Format: Artikel
Sprache:eng
Schlagworte:
11M41
30B50
60B10
Dirichlet problem
Dirichlet series
Meromorphic functions
probability measure
random element
Theorems
weak convergence
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Beschreibung
Zusammenfassung:Here we prove a limit theorem in the sense of the weak convergence of probability measures in the space of meromorphic functions for a general Dirichlet series. The explicit form of the limit measure in this theorem is given.
ISSN:2391-5455
2391-5455
DOI:10.2478/BF02475231