publication . Other literature type . Article . 2005

Explicit formula for a fundamental class of functions

Muharem Avdispahić; Lejla Smajlović;
Open Access English
  • Published: 01 Dec 2005
  • Publisher: The Belgian Mathematical Society
Abstract
The purpose of this paper is to prove an analogue of A. Weil's explicit formula for a fundamental class of functions, i.e. the class of meromorphic functions that have an Euler sum representation and satisfy certain a functional equation. The advance of this explicit formula is that it enlarges the class of allowed test functions, from the class of functions with bounded Jordan variation to the class of functions of $\phi $-bounded variation. A condition posed to the test function at zero is also reconsidered.
Subjects
free text keywords: Explicit formula, $\phi $ - variation, Weil's functional, 11M36, 42A38, 26A45, General Mathematics
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