Can I read Relations among various versions of the Segal-Bargmann transform on EtoBox?

Relations among various versions of the Segal-Bargmann transform by Sontz, Stephen Bruce is a scholarly article available to read on EtoBox.

What is Relations among various versions of the Segal-Bargmann transform about?

We present various relations among Versions A, B and C of the Segal-Bargmann transform. We get results for the Segal-Bargmann transform associated to a Coxeter group acting on a finite dimensional Euclidean space. Then analogous results are shown for the Segal-Bargmann transform of a connected, compact Lie group for all except one of the identities established in the Coxeter case. A counterexample is given to show that the remaining identity from the Coxeter case does not have an analogous identity for the Lie group case. A major result is that in both contexts the Segal-Bargmann transform for Version C is determined by that for Version A.

Author

Sontz, Stephen Bruce

Published

2009

Language

EN