22 citations · 34 across the 9 of their papers we have counts for
14 papers · 1 filter
Asymptotic transition from Fourier series to integrals in LGT
V. K. Petrov
It is shown that in asymptotic transition from Fourier series to integrals an error and ambiguity may arise. Ambiguity reduces to a possibility of addition of some distribution to…
Random membrane model for lattice gluodynamics
V. K. Petrov
odel for studying coupling dependence on lattice spacing a in gluodynamics is suggested. The model predicts $g-> g_{0}>0 with a->0. Free energy density in the model does not depend…
Errors and ambiguity in transition from Fourier series to Fourier integrals
Vladimir K. Petrov
Transition from Fourier series to Fourier integrals is considered and error introduced by ordinary substitution of integration for summing is estimated. Ambiguity caused by transit…
Asymptotic series for distributions
Vladimir K. Petrov
Asymptotic expansions for a wide class of distribution are studied. A simple method for computation of the series coefficients is suggested. The case when regularization parameter…
Primordial function and ambiguity in its determination
Vladimir K. Petrov
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 coe…
Some peculiarities of transition from discrete to continuum Fourier series in lattice theories
Vladimir K. Petrov
Transition from discrete to continuous Fourier series is studied for the functions becoming singular in the transition. Conditions are specified when summing replacement by integra…