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International Conference "Functions Theory, Operators Theory and Quantum Information Theory"
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Multidimensional Tauberian theorem for holomorphic functions of bounded argument Yu. N. Drozhzhinov |
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Abstract: For generalized functions whose Laplace transform has a non-negative imaginary part in a tubular region over a positive coordinate angle, sufficient conditions for the existence of a quasi-asymptotics are given, and the regularly varying function with respect to which this quasi-asymptotics exists is found. The results obtained are used to study the asymptotic behavior of solutions to the Cauchy problem for passive operators. |
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