## Some papers of Yuri Neretin

### Some old papers (English)

A. Infinite dimensional groups. Stochastic processes.

Holomorphic
extensions of representations of the group of diffeomorphisms of the circle

Fractional
diffusions and quasiinvariant actions of infinite-dimensional groups

Integral operators
with Gauss kernels and symmetries of canonical commutation relations

Almost invariant
structures and related representations of the diffeomorphism group of a circle.
( or here)

Categories of
bistochastic measures and representations of some infinite-dimensional groups.
Combinatorial
analogues of the group of diffeomorphisms of the circle

On correspondence
between the space $L^2$ over Poisson measure and bosonic Fock space.
The group of
diffeomorphisms of a ray, and random Cantor sets.

On the spinor
representation of $O(\infty,{\bf C})$

A semigroup of
operators in boson Fock space

Spinor
representation of infinite-dimensional orthogonal semigroup and Virasoro algebra

Supercomplete bases
in the space of symmetric functions

Some remarks on quasi-invariant actions of loop groups and the group of diffeomorphisms of the circle.
(with M.Nazarov, G.Olshanski)
Semi-groupes engendres par la representation de Weil du groupe symplectique de dimension infinie. (French)

B. Classical groups. Harmonic analysis

Extension of
representations of classical groups to representations of categories.

Universal
completions of complex classical groups

(with
Grigory.I.Olshanski) Boundary values of holomorphic functions, singular unitary
representations of groups $O(p,q)$ and their limits as $q$ tend to $\infty$

Krein-Schmul'yan
maps and conformal geometry of symmetric spaces

The Hausdorff metric, construction of a separable quotient space, and boundaries of symmetric spaces.
Restriction of functions holomorphic in a domain to curves lying on the boundary of the domain, and discrete ${\rm SL}\sb 2(R)$-spectra.
Hinges and Study-Semple-Satake-Furstenberg-De Concini- Procesi-Oshima boundary
Representations of complementary series entering discretely in tensor products of unitary representations
Tensor products of unitary representations of $SL(3,R)$. (Russian variant)
file 1
file 2

C. Lie groups

An estimate for
the number of parameters defining an $n$-dimensional algebra.

(joint with
Kirillov A.A.) The variety $A\sb n$ of structures of $n$-dimensional Lie
algebras.
On differential operators
on Lie groups

e-print
papers

Other papers

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