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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
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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

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