Many-dimensional tauberian theorems for holomorphic functions of bounded argument
- Authors: Drozhzhinov J.N.1
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Affiliations:
- Steklov Mathematical Institute of Russian Academy of Sciences
- Issue: Vol 487, No 3 (2019)
- Pages: 242-245
- Section: Mathematical physics
- URL: https://journals.eco-vector.com/0869-5652/article/view/15692
- DOI: https://doi.org/10.31857/S0869-56524873242-245
- ID: 15692
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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.
About the authors
Ju. N. Drozhzhinov
Steklov Mathematical Institute of Russian Academy of Sciences
Author for correspondence.
Email: drozzin@mi-ras.ru
Russian Federation, 8, Gubkina street, Moscow, 117966
References
- Владимиров В. С. Обобщенные функции в математической физике. М.: Наука, 1979.
- Владимиров В. С., Дрожжинов Ю. Н., Завьялов Б. И. Многомерные тауберовы теоремы для обобщенных функций. М.: Наука, 1986.