Primordial function and ambiguity in its determination

Details Primordial function and ambiguity in its determination Primordial function and ambiguity in its determination

2003-12-29

arxiv.org/abs/hep-lat/0312043v1

Physics

High Energy Physics

High Energy Physics - Lattice

Scientific paper

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 $\Omega^{\prime}$.

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