Open AccessMany-dimensional tauberian theorems for holomorphic functions of bounded argument
Author(s) -
Yu. N. Drozhzhinov
Publication year - 2019
Publication title -
doklady akademii nauk. rossijskaâ akademiâ nauk
Language(s) - English
Resource type - Journals
ISSN - 0869-5652
DOI - 10.31857/s0869-56524873242-245
Subject(s) - mathematics , bounded function , holomorphic function , laplace transform , domain (mathematical analysis) , pure mathematics , argument (complex analysis) , cauchy distribution , cauchy problem , mathematical analysis , function (biology) , initial value problem , biochemistry , chemistry , evolutionary biology , biology
For generalized functions with Laplace transform has nonnegative imaginary part in tube domain over positive actant, we found sufficient conditions for existence of quasiasymptotic, the function with regular behavior with respect to which the quasiasymptotic exists being explicitly found. The obtained results are used to steady of the asymptotic behaviour of solutions of the Cauchy problem of passive operators.