2006/10/15 by В. К. Петров, V. K. Petrov, Petrov, V. K.
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Electromagnetic Scattering and Analysis #Mathematical functions and polynomials #Stochastic processes and financial applications #hep-lat
paper · pdf · doi:10.48550/arxiv.hep-lat/0610093
arxiv created 2006/10/15 · arxiv updated 2009/12/01
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 the result. Properties of such distributions are studied and conditions are established under which ambiguity doesn't arise. Method for correction computation is suggested and conditions for correction turning to zero are specified.