O. A. Krivosheeva, A. S. Krivosheev, “Singular points of the sum of a Dirichlet series on the convergence line”, Funktsional. Anal. i Prilozhen., 2015, Volume 49, Issue 2,Pages <nobr>54

This article is cited in 8 papers

Singular points of the sum of a Dirichlet series on the convergence line

O. A. Krivosheeva^a, A. S. Krivosheev^b

^a Bashkir State University, Ufa
^b Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences, Ufa

Abstract: We study the distribution of singular points of the sum of a Dirichlet series and obtain necessary and sufficient conditions for the sum of such a series to have at least one singular point on any segment of given length on the convergence line.

Keywords: singular point, convex domain, invariant subspace, fundamental principle.

UDC: 517.537.7

Received: 08.05.2013

DOI: 10.4213/faa3186