Bonfiglioli, A.
Stratified Lie Groups and Potential Theory for their Sub-Laplacians
Part I. Elements of Analysis of Stratified Groups
1. Stratified Groups and Sub-Laplacians
2. Abstract Lie Groups and Carnot Groups
3. Carnot Groups of Step Two
4. Examples of Carnot Groups
5. The Fundamental Solution for a Sub-Laplacian and Applications
Part II. Elements of Potential Theory for Sub-Laplacians
6. Abstract Harmonic Spaces
7. The L-harmonic Space
8. L-subharmonic Functions
9. Representation Theorems
10. Maximum Principle on Unbounded Domains
11. L-capacity, L-polar Sets and Applications
12. L-thinness and L-fine Topology
13.
Part III. Further Topics on Carnot Groups
14. Some Remarks on Free Lie Algebras
15. More on the Campbell–Hausdorff Formula
16. Families of Diffeomorphic Sub-Laplacians
17. Lifting of Carnot Groups
18. Groups of Heisenberg Type
19. The Carathéodory–Chow–Rashevsky Theorem
20. Taylor Formula on Homogeneous Carnot Groups
DRM-restrictions
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Keywords: MATHEMATICS / General MAT000000
- Author(s)
- Bonfiglioli, A.
- Lanconelli, E.
- Uguzzoni, F.
- Publisher
- Springer
- Publication year
- 2007
- Language
- en
- Edition
- 1
- Category
- Natural Sciences
- Format
- Ebook
- eISBN (PDF)
- 9783540718970