Primordial function and ambiguity in its determination
High Energy Physics - Lattice
2007-05-23 v1
Abstract
We study the possibility to reconstruct the primordial function for some periodic function. The procedure includes an analytical continuation of a discrete function for Fourier coefficients computation, that introduces an ambiguity. To establish conditions under which no ambiguity appears, the modification of Carlson theorem is suggested. In a case when no subsidiary condition is imposed, ambiguity in the definition of primordial function does not go beyond the functions which belong to space .
Cite
@article{arxiv.hep-lat/0312043,
title = {Primordial function and ambiguity in its determination},
author = {Vladimir K. Petrov},
journal= {arXiv preprint arXiv:hep-lat/0312043},
year = {2007}
}