The sampling theorem and coherent state systems |
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Authors: | S Chaturvedi |
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Institution: | (1) School of Physics, University of Hyderabad, Hyderabad, 500 046, India |
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Abstract: | The Poisson Summation Formula and the sampling theorem for band limited signals, well known in the context of Fourier transformation
theory, are analyzed from the perspective of the Zak basis and coherent state systems associated with the Heisenberg-Weyl
group. In particular, we rephrase the content of the sampling theorem in terms coherent states and show that this in turn
permits extensions, which allow us to make specific statements concerning standard and generalized coherent state systems
on von Neumann or finer lattices.
The text was submitted by the author in English. |
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