Japanese Journal of Mathematics

, Volume 3, Issue 1, pp 19–47

Invariant or quasi-invariant probability measures for infinite dimensional groups

Part II: Unitarizing measures or Berezinian measures

Authors

Special Feature: The 3rd Takagi Lectures

DOI: 10.1007/s11537-008-0752-5

Cite this article as:
Malliavin, P. Jpn. J. Math. (2008) 3: 19. doi:10.1007/s11537-008-0752-5

Abstract

Some infinitesimal representations of Virasoro algebra are known to be unitarizable; is it possible to realize the underlying Hilbert space as an L 2-space?

Keywords and phrases

infinite dimensional Siegel disk univalent functions Jordan curves Virasoro algebra Kirillov representation

Mathematics Subject Classification (2000)

11F46 37K65 60H07 81R10

Copyright information

© The Mathematical Society of Japan and Springer Japan 2008