Jürgen Prestin, Ewald Quak, Holger Rauhut, Kathi Selig  Home/Search
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Abstract: An uncertainty principle for 2pi-periodic functions and the classical Heisenberg uncertainty principle are shown to be linked by a limit process. Dependent on a parameter, a function on the real line generates periodic functions either by periodization or sampling. It is proven that under certain smoothness conditions, the periodic uncertainty products of the generated functions converge to the real-line uncertainty product of the original function if the parameter tends to infinity. These... (Update)
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BibTeX entry: (Update)
J. Prestin, E. Quak, H. Rauhut, and K. Selig, On the connection of uncertainty principles for functions on the circle and on the real line, preprint. http://citeseer.ist.psu.edu/article/prestin02connection.html More
@article{ prestin02connection,
author = "J. Prestin and E. Quak and H. Rauhut and K. Selig",
title = "the connection of uncertainty principles for functions on the circle and
on the real line",
journal = "The Journal of Fourier Analysis and Appl.",
year = "2002",
url = "citeseer.ist.psu.edu/article/prestin02connection.html" }
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