2 citations · 4 across the 6 of their papers we have counts for
13 papers
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…
A Probabilistic Model of Machine Translation
G. E. Miram, V. K. Petrov
A probabilistic model for computer-based generation of a machine translation system on the basis of English-Russian parallel text corpora is suggested. The model is trained using p…
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…
Some remarks on cyclization and periodicity
Vladimir K. Petrov
Conditions when application of cyclization procedure does not lead to the periodic function are specified. Sufficient conditions under which obtained function is periodic are state…