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Stable densities and operators of fractional differentiationстатья
- Автор: Neretin Yuri A.
- Сборник: Representation Theory, Dynamical Systems, and Asymptotic Combinatorics. Based on the conference, 8–13, 2004 on the occasion of the 70th birthday of Anatoly Vershik
- Серия: American Mathematical Society Translations, Series 2
- Том: 217
- Год издания: 2006
- Место издания: American Mathematical Society (AMS) USA, Providence, RI
- Первая страница: 117
- Последняя страница: 137
- DOI: 10.1090/trans2/217/09
- Аннотация: Let $D(s)$ be a fractional derivation of order $s$. For a real $p\ne 0$, we construct an integral operator $A(p)$ in an appropriate functional space such that $A(p) D(s) A(p)^{-1}=D(p s)$ for all $s$. The kernel of the operator $A(p)$ is expressed in terms of a function similar to the stable densities.
- Добавил в систему: Неретин Юрий Александрович