Geodesic
Comparison Tauberian theorems and hyperbolic operators with constant coefficients
Ufa mathematical journal, Tome 7 (2015) no. 3, pp. 47-53

Voir la notice de l'article provenant de la source Math-Net.Ru

As comparison Tauberian theorems one usually means theorems which by a prescribed asymptotic behavior of the ratio of some integral transforms of two (generalized) functions make a conclusion on asymptotic behavior of other integral transformations of these functions. In the work we prove the comparison Tauberian function for the generalized functions whose Laplace transform have a bounded argument. In particular, examples of these functions are the kernels and the fundamental solutions of differential operators with constant coefficients hyperbolic w.r.t. a cone.
Keywords: generalized functions, Tauberian theorems, quasi-asymptotics, operators hyperbolic w.r.t. a cone. 
@article{UFA_2015_7_3_a5,
     author = {Yu. N. Drozhzhinov and B. I. Zavialov},
     title = {Comparison {Tauberian} theorems and hyperbolic operators with constant coefficients},
     journal = {Ufa mathematical journal},
     pages = {47--53},
     publisher = {mathdoc},
     volume = {7},
     number = {3},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/UFA_2015_7_3_a5/}
}
TY  - JOUR
AU  - Yu. N. Drozhzhinov
AU  - B. I. Zavialov
TI  - Comparison Tauberian theorems and hyperbolic operators with constant coefficients
JO  - Ufa mathematical journal
PY  - 2015
SP  - 47
EP  - 53
VL  - 7
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/UFA_2015_7_3_a5/
LA  - en
ID  - UFA_2015_7_3_a5
ER  - 
%0 Journal Article
%A Yu. N. Drozhzhinov
%A B. I. Zavialov
%T Comparison Tauberian theorems and hyperbolic operators with constant coefficients
%J Ufa mathematical journal
%D 2015
%P 47-53
%V 7
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/UFA_2015_7_3_a5/
%G en
%F UFA_2015_7_3_a5
Yu. N. Drozhzhinov; B. I. Zavialov. Comparison Tauberian theorems and hyperbolic operators with constant coefficients. Ufa mathematical journal, Tome 7 (2015) no. 3, pp. 47-53. http://geodesic.mathdoc.fr/item/UFA_2015_7_3_a5/