Explicit formula for a fundamental class of functions

Avdispahić, Muharem; Smajlović, Lejla

Bull. Belg. Math. Soc. Simon Stevin, Tome 11 (2005) no. 5, p. 569-587 / Harvested from Project Euclid

Résumé

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.

Publié le : 2005-12-14
Classification: Explicit formula, $\phi $ - variation, Weil's functional, 11M36, 42A38, 26A45

@article{1133793345,
     author = {Avdispahi\'c, Muharem and Smajlovi\'c, Lejla},
     title = {Explicit formula for a fundamental class of functions},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {11},
     number = {5},
     year = {2005},
     pages = { 569-587},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1133793345}
}

Avdispahić, Muharem; Smajlović, Lejla. Explicit formula for a fundamental class of functions. Bull. Belg. Math. Soc. Simon Stevin, Tome 11 (2005) no. 5, pp.  569-587. http://gdmltest.u-ga.fr/item/1133793345/