A Top-Down Account of Linear Canonical Transforms

We contend that what are called Linear Canonical Transforms (LCTs) should be seen as a part of the theory of unitary irreducible representations of the '2+1' Lorentz group. The integral kernel representation found by Collins, Moshinsky and Quesne, and the radial and hyperbolic LCTs introdu...

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Bibliographic Details
Main Author: Kurt Bernardo Wolf
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2012-06-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
R)
Online Access:http://dx.doi.org/10.3842/SIGMA.2012.033