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

collaborators

Showing 2011Show all

4 papers · 1 filter

math.RT2011★ 12 cited

Symmetries of Gaussian measures and operator colligations

Yury A. Neretin

Consider an infinite-dimensional linear space equipped with a Gaussian measure and the group $G L (\infty)$ of linear transformations that send the measure to equivalent one. Limit p…

math.RT2011

Infinite-dimensional $p$ -adic groups, semigroups of double cosets, and inner functions on Bruhat--Tits builldings

Yury Neretin

We construct $p$ -adic analogs of operator colligations and their characteristic functions. Consider a $p$ -adic group $G = G L (α + k \infty, Q_{p})$ , its subgroup $L = O (k \infty, Z_{p})$ , and th…

math.RT2011★ 6 cited

Infinite symmetric group and combinatorial descriptions of semigroups of double cosets

Yury A. Neretin

We show that double cosets of the infinite symmetric group with respect to some special subgroups admit natural structures of semigroups. We interpret elements of such semigroups i…

math.FA2011★ 6 cited

Difference Sturm--Liouville problems in the imaginary direction

Yury Neretin

We consider difference operators in $L^{2}$ on $R$ of the form $L f (s) = p (s) f (s + i) + q (s) f (s) + r (s) f (s - i),$ where $i$ is the imaginary unit. The domain of definiteness are functio…

Symmetries of Gaussian measures and operator colligations

Infinite-dimensional p-adic groups, semigroups of double cosets, and inner functions on Bruhat--Tits builldings

Infinite symmetric group and combinatorial descriptions of semigroups of double cosets

Difference Sturm--Liouville problems in the imaginary direction

Infinite-dimensional $p$ -adic groups, semigroups of double cosets, and inner functions on Bruhat--Tits builldings