Discrete normalized Bargmann transform through the gyrator transform

2020 ◽  
Vol 37 (6) ◽  
pp. 951
Author(s):  
Kenan Uriostegui
Keyword(s):  
Bargmann Transform ◽  
Gyrator Transform

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

Double-image encryption based on iterative gyrator transform

2008 ◽  
Vol 281 (23) ◽  
pp. 5745-5749 ◽  
Author(s):  
Huijuan Li ◽  
Yurong Wang
Keyword(s):  
Image Encryption ◽  
Double Image ◽  
Gyrator Transform

Gyrator transform of Gaussian beams with phase difference and generation of hollow beam

2018 ◽  
Vol 25 (3) ◽  
pp. 323-329 ◽  
Author(s):  
Zhiyu Xiao ◽  
Hui Xia ◽  
Tao Yu ◽  
Ding Xie ◽  
Wenke Xie
Keyword(s):  
Phase Difference ◽  
Gaussian Beams ◽  
Hollow Beam ◽  
Gyrator Transform

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.

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