Uncertainty Principles on Riemannian Manifolds - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Uncertainty Principles on Riemannian Manifolds write by Wolfgang Erb. This book was released on 2011. Uncertainty Principles on Riemannian Manifolds available in PDF, EPUB and Kindle. 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.
Uncertainty Principles on Riemannian Manifolds
Uncertainty Principles on Riemannian Manifolds - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Uncertainty Principles on Riemannian Manifolds write by . This book was released on 2004. Uncertainty Principles on Riemannian Manifolds available in PDF, EPUB and Kindle. 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.
Maximum Principles on Riemannian Manifolds and Applications
Maximum Principles on Riemannian Manifolds and Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Maximum Principles on Riemannian Manifolds and Applications write by Stefano Pigola. This book was released on 2005. Maximum Principles on Riemannian Manifolds and Applications available in PDF, EPUB and Kindle. Aims to introduce the reader to various forms of the maximum principle, starting from its classical formulation up to generalizations of the Omori-Yau maximum principle at infinity obtained by the authors.
Classification Theory of Riemannian Manifolds
Classification Theory of Riemannian Manifolds - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Classification Theory of Riemannian Manifolds write by S. R. Sario. This book was released on 2006-11-15. Classification Theory of Riemannian Manifolds available in PDF, EPUB and Kindle.
The Laplacian on a Riemannian Manifold
The Laplacian on a Riemannian Manifold - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Laplacian on a Riemannian Manifold write by Steven Rosenberg. This book was released on 1997-01-09. The Laplacian on a Riemannian Manifold available in PDF, EPUB and Kindle. This text on analysis of Riemannian manifolds is aimed at students who have had a first course in differentiable manifolds.
