Y. Neretin

activity

19972026

most citedThe Lagrangian Radon Transform and the Weil representation

30 citations · 178 across the 55 of their papers we have counts for

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math.CV2021

Inner functions of matrix argument and conjugacy classes in unitary groups

Yury A. Neretin

Denote by $B_{n}$ the set of complex square matrices of order $n$ , whose Euclidean operator norms are $< 1$ . Its Shilov boundary is the set $U (n)$ of all unitary matrices. A holomorph…

math.CA2021

On a $C^{2}$ -valued integral index transform and bilateral hypergeometric series

Yury A. Neretin

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…

math.RT2021★ 1 cited

Some remarks on traces on the infinite-dimensional Iwahori--Hecke algebra

Yury A. Neretin

The infinite-dimensional Iwahori--Hecke algebras $H_{\infty} (q)$ are direct limits of the usual finite-dimensional Iwahori--Hecke algebras. They arise in a natural way as c…

Inner functions of matrix argument and conjugacy classes in unitary groups

On a C2-valued integral index transform and bilateral hypergeometric series

Some remarks on traces on the infinite-dimensional Iwahori--Hecke algebra

On a $C^{2}$ -valued integral index transform and bilateral hypergeometric series