Heat Kernels for elliptic and sub-elliptic operators : methods and techniques
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 evol...
محفوظ في:
| المؤلفون الرئيسيون: | , , , |
|---|---|
| التنسيق: | Livre numérique |
| اللغة: | Anglais |
| منشور في: |
Boston :
Birkhäuser Boston
[20..].
Cham : Springer Nature |
| سلاسل: | Applied and Numerical Harmonic Analysis
|
| الموضوعات: | |
| الوصول للمادة أونلاين: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| ملاحظة: |
Description d'après consultation du 23 avril 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Heat kernels for elliptic and sub-elliptic operators, methods and techniques, Ovidiu Calin, Der-Chen Chang, Kenro Furutani... [et al.], [Basel], Birkhäuser, Springer, 2011, 1 vol. (XVIII-433 p.), Applied and numerical harmonic analysis, 978-0-8176-4994-4 |
جدول المحتويات:
- 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