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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6 papers · 1 filter

math.FA2020

Polyhomomorphisms of locally compact groups

Yury A. Neretin

Let $G$ and $H$ be locally compact groups with fixed two-side-invariant Haar measures. A polyhomomorphism $G \to H$ is a closed subgroup $R \subset G \times H$ with a fixed Haar measu…

math.FA2018★ 14 cited

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 $D$ regarded as an operator on the complex plane $C$ and the complex conjugate operator $D$ . These operators…

math.FA2015★ 4 cited

Topological groups and invariant measures

Yury A. Neretin

Lecture notes in Russian. Topics: the Haar measure (abstract theorems and explicit descriptions for different groups), measures on infinite-dimensional spaces with large natural gr…

math.FA2012★ 30 cited

The Lagrangian Radon Transform and the Weil representation

Giuseppe Marmo, Peter W. Michor, Yuri Neretin

We consider the operator $R$ , which sends a function on $R^{2 n}$ to its integrals over all affine Lagrangian subspaces in $R^{2 n}$ . We discuss properties o…

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…

math.FA2005★ 1 cited

Perelomov problem and inversion of the Segal-Bargmann transform

Yurii A. Neretin

We reconstruct a function by values of its Segal-Bargmann transform at points of a lattice.