Yuri A. Neretin

activity

20032007

most citedZak transform, Weil representation, and integral operators with theta-kernels

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.RT2007

Gauss--Berezin integral operators and spinors over supergroups $OSp (2 p ∣2 q)$ , and Lagrangian super-Grasmannians

Yuri Neretin

We obtain explicit formulas for the spinor representation $ρ$ of the real orthosymplectic supergroup $OSp (2 p ∣2 q, R)$ by integral 'Gauss--Berezin' operators. Next,…

math.CA2004

Some remarks on stable densities and operators of fractional differentiation

Yuri A. Neretin

Let $D (s)$ be a fractional derivation of order $s$ . For a real $p \neq = 0$ , we construct an integral operator $A (p)$ in an appropriate functional space such that $A(p) D(s) A(p)^{-1}=…

math.CA2003★ 1 cited

Zak transform, Weil representation, and integral operators with theta-kernels

Tatiana Foth, Yurii A. Neretin

The Weil representation of a real symplectic group $S p (2 n, R)$ admits a canonical extension to a holomorphic representation of a certain complex semigroup consisting of Lagrangian l…

Gauss--Berezin integral operators and spinors over supergroups OSp(2p∣2q), and Lagrangian super-Grasmannians

Some remarks on stable densities and operators of fractional differentiation

Zak transform, Weil representation, and integral operators with theta-kernels

Gauss--Berezin integral operators and spinors over supergroups $OSp (2 p ∣2 q)$ , and Lagrangian super-Grasmannians