The Uncertainty Principle for certain densities

Details The Uncertainty Principle for certain densities The Uncertainty Principle for certain densities

2002-12-10

arxiv.org/abs/math/0212151v1

Mathematics

Classical Analysis and ODEs

Scientific paper

We prove a new version of the Uncertainty Principle of the form $\int |f|^2 \lesssim \int_{E^c} |f|^2 + \int_{\Sigma ^c}|\hat f|^2 $ where the sets $E$ and $\Sigma$ are $\epsilon$-thin in the following sense: $|E \cap D(x, \rho_1(x))| \le \epsilon |D(x, \rho_1(x))|$ and $|\Sigma \cap D(x, \rho_2(x))| \le \epsilon |D(x, \rho_2(x))|$. This is an intermediate result between Logvinenko-Sereda's and Wolff's versions of the Uncertainty Principle.

Affiliated with

Also associated with

No associations

Rating

The Uncertainty Principle for certain densities does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Uncertainty Principle for certain densities, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Uncertainty Principle for certain densities will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-638159