Unitary operators in the homogeneous wave field.
The operations of diffraction, phase conjugation, and the rigid motions in the plane are shown to be unitary operators on the space of all the band-limited fields whose diffracted wave fields are homogeneous. Commutation relations are given for these operators that explain many of the symmetries of such wave fields. Some of these symmetries are known, and some have not been mentioned before.
Montgomery
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WD
Department of Mathematics and Statistics, University of Regina, Regina, Saskatchewan S4S OA2, Canada.