scholarly journals Segal–Bargmann transform and Paley–Wiener theorems on Heisenberg motion groups

2015 ◽  
Vol 0 (0) ◽  
Author(s):  
Suparna Sen
Keyword(s):  
Bargmann Transform ◽  
Motion Groups

AbstractWe consider the Heisenberg motion groups ℍ𝕄 = ℍ

A New Form of the Segal-Bargmann Transform for Lie Groups of Compact Type

1999 ◽  
Vol 51 (4) ◽  
pp. 816-834 ◽  
Author(s):  
Brian C. Hall
Keyword(s):  
Lie Groups ◽  
Lie Group ◽  
Joint Work ◽  
Compact Type ◽  
Bargmann Transform ◽  
Infinite Dimensional ◽  
Infinite Dimensional Analysis ◽  
Finite Dimensional ◽  
New Form ◽  
Two Parameter

AbstractI consider a two-parameter family Bs,t of unitary transforms mapping an L2-space over a Lie group of compact type onto a holomorphic L2-space over the complexified group. These were studied using infinite-dimensional analysis in joint work with B. Driver, but are treated here by finite-dimensional means. These transforms interpolate between two previously known transforms, and all should be thought of as generalizations of the classical Segal-Bargmann transform. I consider also the limiting cases s → ∞ and s → t/2.

Entropy and the Segal-Bargmann transform

1998 ◽  
Vol 39 (4) ◽  
pp. 2402-2417 ◽  
Author(s):  
Stephen Bruce Sontz
Keyword(s):  
Bargmann Transform
Sign in / Sign up

Export Citation Format

Share Document