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WEAK UNCERTAINTY PRINCIPLE FOR FRACTALS,GRAPHS AND METRIC MEASURE SPACES
Uncertainty principle p.c.f. fractal Heisenberg’s inequality measure metric spaces Poincar′ e inequality self-similar graphs Sierpinski ′ gasket uniform finitely ramified graphs
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2015/12/10
We develop a new approach to formulate and prove the weak uncertainty inequality which was recently introduced by Okoudjou and Strichartz.We assume either an appropriate measure growth condition with ...
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
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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-Pauli-Weyl Uncertainty Principle for the Riemann-Liouville Operator
Heisenberg-Pauli-Weyl Inequality Riemann-Liouville operator Fourier transform local uncertainty principle
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2010/1/22
The Heisenberg-Pauli-Weyl inequality is established for the Fourier transform connected with the Riemann-Liouville operator.Also, a generalization of this inequality is proved. Lastly, a local uncerta...