2003/12/29 by В. К. Петров, Vladimir K. Petrov, Petrov, Vladimir K.
Computer Science · Mathematics · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Mathematical functions and polynomials #Matrix Theory and Algorithms #Quantum chaos and dynamical systems #hep-lat
paper · pdf · doi:10.48550/arxiv.hep-lat/0312043
arxiv created 2003/12/29 · openalex publication_date 2003/12/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 Ω′.