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A Top-Down Account of Linear Canonical Transforms
linear transforms canonical transforms Lie group Sp(2 R) Mathematical Physics
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2012/6/21
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 represe...
Appell Transformation and Canonical Transforms
heat equation paraxial wave equation Appell transformation
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2011/8/17
Abstract: The interpretation of the optical Appell transformation, as previously elaborated in relation to the free-space paraxial propagation under both a rectangular and a circular cylindrical symme...
Appell Transformation and Canonical Transforms
heat equation paraxial wave equation Appell transformation
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2011/9/14
Abstract: The interpretation of the optical Appell transformation, as previously elaborated in relation to the free-space paraxial propagation under both a rectangular and a circular cylindrical symme...