The group of diffeomorphisms of the circle: reproducing kernels and analogs of spherical functions

The group \(Diff\) of diffeomorphisms of the circle is an infinite dimensional analog of the real semisimple Lie groups \(U(p,q)\), \(Sp(2n,R)\), \(SO^*(2n)\); the space \(\Xi\) of univalent functions is an analog of the corresponding classical complex Cartan domains. We present explicit formulas fo...

Full description

Bibliographic Details

Published in:	arXiv.org
Main Author:	Neretin, Yury A
Format:	Paper
Language:	English
Published:	Ithaca Cornell University Library, arXiv.org 09.01.2016
Subjects:	Domains Isomorphism Kernels Lie groups Weight
ISSN:	2331-8422
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!