Ovidiu Calin,
Der-Chen Chang,
Kenro Furutani,
Chisato Iwasaki
e.a.
Birkhäuser Boston
2011e druk, 2010
9780817649944
Heat Kernels for Elliptic and Sub-elliptic Operators
Methods and Techniques
Specificaties
Gebonden, 436 blz.
|
Engels
Birkhäuser Boston |
2011e druk, 2010
ISBN13: 9780817649944
Rubricering
Onderdeel van serie
Applied and Numerical Harmonic Analysis
Levertijd ongeveer 9 werkdagen
Gratis verzonden
Samenvatting
This monograph is a unified presentation of several theories of finding explicit formulas for heat kernels for both elliptic and sub-elliptic operators. These kernels are important in the theory of parabolic operators because they describe the distribution of heat on a given manifold as well as evolution phenomena and diffusion processes.
Heat Kernels for Elliptic and Sub-elliptic Operators is an ideal reference for graduate students, researchers in pure and applied mathematics, and theoretical physicists interested in understanding different ways of approaching evolution operators.
Specificaties
ISBN13:9780817649944
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:436
Uitgever:Birkhäuser Boston
Druk:2011
Inhoudsopgave
Part I. Traditional Methods for Computing Heat Kernels.- Introduction.- Stochastic Analysis Method.- A Brief Introduction to Calculus of Variations.- The Path Integral Approach.- The Geometric Method.- Commuting Operators.- Fourier Transform Method.- The Eigenfunctions Expansion Method.- Part II. Heat Kernel on Nilpotent Lie Groups and Nilmanifolds.- Laplacians and Sub-Laplacians.- Heat Kernels for Laplacians and Step 2 Sub-Laplacians.- Heat Kernel for Sub-Laplacian on the Sphere S^3.- Part III. Laguerre Calculus and Fourier Method.- Finding Heat Kernels by Using Laguerre Calculus.- Constructing Heat Kernel for Degenerate Elliptic Operators.- Heat Kernel for the Kohn Laplacian on the Heisenberg Group.- Part IV. Pseudo-Differential Operators.- The Psuedo-Differential Operators Technique.- Bibliography.- Index.