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On a $C^2$-valued integral index transform and bilateral hypergeometric series 2022статья
- Автор: Neretin Yu A.
- Журнал: Integral Transforms and Special Functions
- Год издания: 2022
- Издательство: Taylor & Francis
- Местоположение издательства: United Kingdom
- DOI: 10.1080/10652469.2022.2050721
- Аннотация: We discuss the spectral decomposition of the hypergeometric differential operators on the line $\Re z=1/2$, such operators arise in the problem of decomposition of tensor products of unitary representations of the universal covering of the group $SL(2,R)$. Our main purpose is a search of natural bases in generalized eigenspaces and variants of the inversion formula.
- Добавил в систему: Неретин Юрий Александрович