30 citations · 178 across the 55 of their papers we have counts for
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An analog of the Dougall formula and of the de Branges--Wilson integral
Yury A. Neretin
We derive a beta-integral over , which is a counterpart of the Dougall -formula and of the de Branges--Wilson integral, our integral includes $…
A pair of commuting hypergeometric operators on the complex plane and bispectrality
Vladimir F. Molchanov, Yury A. Neretin
We consider the standard hypergeometric differential operator regarded as an operator on the complex plane and the complex conjugate operator . These operators…
Riesz products and spectral decompositions for rank 1 measure preserving transformations
Yury A. Neretin
We consider rank one measure preserving transformations and the corresponding Koopman unitary operators . It is known that a generic (in the sense of Baire category) meas…
Operational calculus for Fourier transform on the group
Yury A. Neretin
Consider the Fourier transform on the group of real -matrices. We show that Fourier-images of polynomial differential operators on are differential-d…
After Plancherel formula
Yury A. Neretin
We discuss two topics related to Fourier transforms on Lie groups and on homogeneous spaces: the operational calculus and the Gelfand--Gindikin problem (program) about separation o…