Geometry Of The Laplace Operator
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Geometry of the Laplace Operator
Author | : AMS Symposium on the Geometry of the Laplace Operator$ (1979 : University of Hawaii at Manoa),American Mathematical Society |
Publsiher | : American Mathematical Soc. |
Total Pages | : 323 |
Release | : 1980 |
Genre | : Mathematics |
ISBN | : 9780821814390 |
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Geometry of the Laplace Operator
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Author | : American Mathematical Society |
Publsiher | : Unknown |
Total Pages | : 323 |
Release | : 1980 |
Genre | : Electronic Book |
ISBN | : OCLC:878103239 |
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Geometry of the Laplace Operator
Author | : Robert Osserman,Alan Weinstein,American Mathematical Society |
Publsiher | : American Mathematical Soc. |
Total Pages | : 340 |
Release | : 1980-12-31 |
Genre | : Mathematics |
ISBN | : 0821867962 |
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The Laplacian on a Riemannian Manifold
Author | : Steven Rosenberg |
Publsiher | : Cambridge University Press |
Total Pages | : 190 |
Release | : 1997-01-09 |
Genre | : Mathematics |
ISBN | : 0521468310 |
Download The Laplacian on a Riemannian Manifold Book 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.
The Sub Laplacian Operators of Some Model Domains
Author | : Der-Chen Chang,Jingzhi Tie |
Publsiher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 199 |
Release | : 2022-08-01 |
Genre | : Mathematics |
ISBN | : 9783110643176 |
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The book constructs explicitly the fundamental solution of the sub-Laplacian operator for a family of model domains in Cn+1. This type of domain is a good point-wise model for a Cauchy-Rieman (CR) manifold with diagonalizable Levi form. Qualitative results for such operators have been studied extensively, but exact formulas are difficult to derive. Exact formulas are closely related to the underlying geometry and lead to equations of classical types such as hypergeometric equations and Whittaker’s equations.
An Introduction to Laplacian Spectral Distances and Kernels
Author | : Giuseppe Patanè |
Publsiher | : Morgan & Claypool Publishers |
Total Pages | : 141 |
Release | : 2017-07-05 |
Genre | : Computers |
ISBN | : 9781681731407 |
Download An Introduction to Laplacian Spectral Distances and Kernels Book in PDF, Epub and Kindle
In geometry processing and shape analysis, several applications have been addressed through the properties of the Laplacian spectral kernels and distances, such as commute time, biharmonic, diffusion, and wave distances. Within this context, this book is intended to provide a common background on the definition and computation of the Laplacian spectral kernels and distances for geometry processing and shape analysis. To this end, we define a unified representation of the isotropic and anisotropic discrete Laplacian operator on surfaces and volumes; then, we introduce the associated differential equations, i.e., the harmonic equation, the Laplacian eigenproblem, and the heat equation. Filtering the Laplacian spectrum, we introduce the Laplacian spectral distances, which generalize the commute-time, biharmonic, diffusion, and wave distances, and their discretization in terms of the Laplacian spectrum. As main applications, we discuss the design of smooth functions and the Laplacian smoothing of noisy scalar functions. All the reviewed numerical schemes are discussed and compared in terms of robustness, approximation accuracy, and computational cost, thus supporting the reader in the selection of the most appropriate with respect to shape representation, computational resources, and target application.
Dirac Operators and Spectral Geometry
Author | : Giampiero Esposito |
Publsiher | : Cambridge University Press |
Total Pages | : 227 |
Release | : 1998-08-20 |
Genre | : Mathematics |
ISBN | : 9780521648622 |
Download Dirac Operators and Spectral Geometry Book in PDF, Epub and Kindle
A clear, concise and up-to-date introduction to the theory of the Dirac operator and its wide range of applications in theoretical physics for graduate students and researchers.
Spectral Geometry
Author | : Pierre H. Berard |
Publsiher | : Springer |
Total Pages | : 284 |
Release | : 2006-11-14 |
Genre | : Mathematics |
ISBN | : 9783540409588 |
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