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The uncertainty measure for q-exponential distribution function
q-exponential distribution VarEntropy method MaxEnt nonextensive entropy
2010/11/30
Based on the q-exponential distribution which has been observed in more and more physical systems, the varentropy method is used to derive the uncertainty measure of such an abnormal distribution func...
Beurling-Hörmander Uncertainty Principle for the Spherical Mean Operator
Uncertainty principle Beurling-Hö rmander theorem Gelfand-Shilov theorem Cowling-Price theorem Fourier transform Spherical mean operator
2010/1/22
We establish the Beurling-Hörmander theorem for the Fourier transform connected with the spherical mean operator. Applying this result, we prove the Gelfand-Shilov and Cowling-Price type theorems...
Heisenberg Uncertainty Principles for Some $q^2$-Analogue Fourier Transforms
Heisenberg inequality $q$-Fourier transforms
2010/1/22
The aim of this paper is to state -analogues of the Heisenberg uncertainty principles for some -analogue Fourier transforms introduced and studied in [7,8].