9 citations · 16 across the 23 of their papers we have counts for
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math-ph2009
Relations among various versions of the Segal-Bargmann transform
Stephen Bruce Sontz
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 fi…
math-ph2009★ 2 cited
The C-version Segal-Bargmann transform for finite Coxeter groups defined by the restriction principle
Stephen Bruce Sontz
We apply a special case, the restriction principle (for which we give a definition simpler than the usual one), of a basic result in functional analysis (the polar decomposition of…
math-ph2009★ 2 cited
On Segal-Bargmann analysis for finite Coxeter groups and its heat kernel
Stephen Bruce Sontz
We prove identities involving the integral kernels of three versions (two being introduced here) of the Segal-Bargmann transform associated to a finite Coxeter group acting on a fi…