Hostname: page-component-848d4c4894-ndmmz Total loading time: 0 Render date: 2024-06-08T17:15:31.117Z Has data issue: false hasContentIssue false
  • English
  • Français

ON THE BARGMANN TRANSFORM AND THE WIGNER TRANSFORM

Published online by Cambridge University Press:  01 July 1998

SHUN-LONG LUO
SHUN-LONG LUO
Affiliation:
Institute of Applied Mathematics, Academia Sinica, Beijing 100080, P. R. China
Get access

Abstract

We observe that the Bargmann transform arises from the polar decomposition of a simple restriction operator. By virtue of the Bargmann transform, the Wigner transform is imbedded in the geometric symmetry group of phase space. From this imbedding, we easily obtain that the spectrum of the Wigner transform consists of {eikπ/12[ratio ]k=0, 1, …, 23}.

Type
Notes and Papers
Information
Bulletin of the London Mathematical Society , Volume 30 , Issue 4 , July 1998 , pp. 413 - 418
Copyright
© The London Mathematical Society 1998

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)