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Tr. Mat. Inst. Steklova, Forthcoming paper (Mi tm4070)  

On the problem of multidimensional tauberian theory

Yu. N. Drozhzhinov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow

Abstract: 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.

UDC: 517.53

Accepted: January 16, 2020

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  • Труды Математического института им. В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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