On The Lp Spectrum Of The Hodge Laplacian And Logarithmic Sobolev Inequalities On Non Compact Manifolds
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On The Lp Spectrum Of The Hodge Laplacian And Logarithmic Sobolev Inequalities On Non Compact Manifolds
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Author : Nelia Sofocli Charalambous
language : en
Publisher:
Release Date : 2004
On The Lp Spectrum Of The Hodge Laplacian And Logarithmic Sobolev Inequalities On Non Compact Manifolds written by Nelia Sofocli Charalambous and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with categories.
Annual Report
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Author : Cornell University. Department of Mathematics
language : en
Publisher:
Release Date : 2000
Annual Report written by Cornell University. Department of Mathematics and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
Dissertation Abstracts International
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Author :
language : en
Publisher:
Release Date : 2005
Dissertation Abstracts International written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Dissertations, Academic categories.
Analysis Of The Hodge Laplacian On The Heisenberg Group
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Author : Detlef Muller
language : en
Publisher: American Mathematical Soc.
Release Date : 2014-12-20
Analysis Of The Hodge Laplacian On The Heisenberg Group written by Detlef Muller and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-20 with Mathematics categories.
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
Eigenfunctions Of The Laplacian On A Riemannian Manifold written by Steve Zelditch and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-12 with Eigenfunctions categories.
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.
Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
On The Geometry Of Diffusion Operators And Stochastic Flows written by K.D. Elworthy and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-05 with Mathematics categories.
Stochastic differential equations, and Hoermander form representations of diffusion operators, can determine a linear connection associated to the underlying (sub)-Riemannian structure. This is systematically described, together with its invariants, and then exploited to discuss qualitative properties of stochastic flows, and analysis on path spaces of compact manifolds with diffusion measures. This should be useful to stochastic analysts, especially those with interests in stochastic flows, infinite dimensional analysis, or geometric analysis, and also to researchers in sub-Riemannian geometry. A basic background in differential geometry is assumed, but the construction of the connections is very direct and itself gives an intuitive and concrete introduction. Knowledge of stochastic analysis is also assumed for later chapters.
Elliptic Operators Topology And Asymptotic Methods written by John Roe and has been published by Longman Scientific and Technical this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Mathematics categories.
Vanishing And Finiteness Results In Geometric Analysis written by Stefano Pigola and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-05-28 with Mathematics categories.
This book describes very recent results involving an extensive use of analytical tools in the study of geometrical and topological properties of complete Riemannian manifolds. It analyzes in detail an extension of the Bochner technique to the non compact setting, yielding conditions which ensure that solutions of geometrically significant differential equations either are trivial (vanishing results) or give rise to finite dimensional vector spaces (finiteness results). The book develops a range of methods, from spectral theory and qualitative properties of solutions of PDEs, to comparison theorems in Riemannian geometry and potential theory.
Spectral Geometry written by Pierre H. Berard and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
Eigenfunctions Of The Laplacian On A Riemannian Manifold
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Author : Steve Zelditch
language : en
Publisher: American Mathematical Soc.
Release Date : 2017-12-12
Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 2005
On The Geometry Of Diffusion Operators And Stochastic Flows
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Author : K.D. Elworthy
language : en
Publisher: Springer
Release Date : 2007-01-05
Elliptic Operators Topology And Asymptotic Methods
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Author : John Roe
language : en
Publisher: Longman Scientific and Technical
Release Date : 1988
Vanishing And Finiteness Results In Geometric Analysis
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Author : Stefano Pigola
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-05-28
Spectral Geometry
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Author : Pierre H. Berard
language : en
Publisher: Springer
Release Date : 2006-11-14