On the LP Spectrum of the Hodge Laplacian and Logarithmic Sobolev Inequalities on Non-compact Manifolds PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download On the LP Spectrum of the Hodge Laplacian and Logarithmic Sobolev Inequalities on Non-compact Manifolds PDF full book. Access full book title On the LP Spectrum of the Hodge Laplacian and Logarithmic Sobolev Inequalities on Non-compact Manifolds by Nelia Sofocli Charalambous. Download full books in PDF and EPUB format.
Author: Nelia Sofocli Charalambous
Publisher:
ISBN:
Category :
Languages : en
Pages : 210
Get Book Here
Book Description
Author: Nelia Sofocli Charalambous
Publisher:
ISBN:
Category :
Languages : en
Pages : 210
Get Book Here
Book Description
Author: Nelia Sofocli Charalambous
Publisher:
ISBN: 9780496088164
Category :
Languages : en
Pages : 99
Get Book Here
Book Description
Finally, as an application, we will show that the spectrum of the Laplacian on one-forms has no gaps on manifolds with a pole and on manifolds that are in a warped product form. This will be done under weaker curvature restrictions than what have been used previously; it will be achieved by finding the L1 spectrum of the Laplacian.
Author: Edward Lee Bueler
Publisher:
ISBN:
Category :
Languages : en
Pages : 152
Get Book Here
Book Description
Author:
Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 794
Get Book Here
Book Description
Author: Cornell University. Department of Mathematics
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 444
Get Book Here
Book Description
Author: Detlef Muller
Publisher: American Mathematical Soc.
ISBN: 1470409399
Category : Mathematics
Languages : en
Pages : 104
Get Book Here
Book Description
The authors consider the Hodge Laplacian \Delta on the Heisenberg group H_n, endowed with a left-invariant and U(n)-invariant Riemannian metric. For 0\le k\le 2n+1, let \Delta_k denote the Hodge Laplacian restricted to k-forms. In this paper they address three main, related questions: (1) whether the L^2 and L^p-Hodge decompositions, 1
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :
Get Book Here
Book Description
Author: Gilles Royer
Publisher: American Mathematical Soc.
ISBN: 9780821844014
Category : Mathematics
Languages : en
Pages : 132
Get Book Here
Book Description
This is an introduction to logarithmic Sobolev inequalities with some important applications to mathematical statistical physics. Royer begins by gathering and reviewing the necessary background material on selfadjoint operators, semigroups, Kolmogorov diffusion processes, and solutions of stochastic differential equations.
Author: Steven Rosenberg
Publisher: Cambridge University Press
ISBN: 9780521468312
Category : Mathematics
Languages : en
Pages : 190
Get Book Here
Book Description
This text on analysis of Riemannian manifolds is aimed at students who have had a first course in differentiable manifolds.
Author: Steve Zelditch
Publisher: American Mathematical Soc.
ISBN: 1470410370
Category : Mathematics
Languages : en
Pages : 410
Get Book Here
Book Description
Eigenfunctions of the Laplacian of a Riemannian manifold can be described in terms of vibrating membranes as well as quantum energy eigenstates. This book is an introduction to both the local and global analysis of eigenfunctions. The local analysis of eigenfunctions pertains to the behavior of the eigenfunctions on wavelength scale balls. After re-scaling to a unit ball, the eigenfunctions resemble almost-harmonic functions. Global analysis refers to the use of wave equation methods to relate properties of eigenfunctions to properties of the geodesic flow. The emphasis is on the global methods and the use of Fourier integral operator methods to analyze norms and nodal sets of eigenfunctions. A somewhat unusual topic is the analytic continuation of eigenfunctions to Grauert tubes in the real analytic case, and the study of nodal sets in the complex domain. The book, which grew out of lectures given by the author at a CBMS conference in 2011, provides complete proofs of some model results, but more often it gives informal and intuitive explanations of proofs of fairly recent results. It conveys inter-related themes and results and offers an up-to-date comprehensive treatment of this important active area of research.
