Uncertainty Principles on Riemannian Manifolds

Released on by Wolfgang Erb
preview-18

  • Uncertainty Principles on Riemannian Manifolds Book Detail

  • Author : Wolfgang Erb
  • Release Date : 2011
  • Publisher : Logos Verlag Berlin GmbH
  • Genre : Mathematics
  • Pages : 174
  • ISBN 13 : 3832527443
  • File Size : 79,79 MB
DOWNLOAD BOOK

Uncertainty Principles on Riemannian Manifolds by Wolfgang Erb PDF Summary

Book Description: In this thesis, the Heisenberg-Pauli-Weyl uncertainty principle on the real line and the Breitenberger uncertainty on the unit circle are generalized to Riemannian manifolds. The proof of these generalized uncertainty principles is based on an operator theoretic approach involving the commutator of two operators on a Hilbert space. As a momentum operator, a special differential-difference operator is constructed which plays the role of a generalized root of the radial part of the Laplace-Beltrami operator. Further, it is shown that the resulting uncertainty inequalities are sharp. In the final part of the thesis, these uncertainty principles are used to analyze the space-frequency behavior of polynomial kernels on compact symmetric spaces and to construct polynomials that are optimally localized in space with respect to the position variance of the uncertainty principle.

Disclaimer: www.yourbookbest.com does not own Uncertainty Principles on Riemannian Manifolds books pdf, neither created or scanned. We just provide the link that is already available on the internet, public domain and in Google Drive. If any way it violates the law or has any issues, then kindly mail us via contact us page to request the removal of the link.