Many-dimensional tauberian theorems for holomorphic functions of bounded argument
Keyword(s):
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.
2020 ◽
Vol 10
(1)
◽
pp. 353-370
◽
2019 ◽
Vol 21
(3)
◽
pp. 317-328
1987 ◽
Vol 42
(5)
◽
pp. 1-47
◽
2010 ◽
Vol 163
(4)
◽
pp. 445-460
◽