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Colloquium of Steklov Mathematical Institute of Russian Academy of Sciences
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Tauberian theorems for generalized funtions Yu. N. Drozhzhinov |
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Abstract: Tauberian theorems are usually assumed to connect the asymptotic behavior of a generalized function (or a distribution) at infinity with the asymptotic behavior in the neighborhood of zero of its integral transform (Fourier, Laplace, etc). In this talk, we consider a multidimensional generalization of Hardy–Littlewood, Keldysh and Wiener theorems. |