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Equivalence of heat kernel measure and pinned Wiener measure on loop groups

Authors :
Shigeki Aida
Bruce K. Driver
Source :
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics. 331:709-712
Publication Year :
2000
Publisher :
Elsevier BV, 2000.

Abstract

We show that heat kernel measure and pinned Wiener measure on loop groups over simply connected compact Lie groups are equivalent.

Details

ISSN :
07644442
Volume :
331
Database :
OpenAIRE
Journal :
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics
Accession number :
edsair.doi...........732c874bafdfe6efad42ef1e4c4605d2
Full Text :
https://doi.org/10.1016/s0764-4442(00)01725-0