Calin, Ovidiu
Heat Kernels for Elliptic and Sub-elliptic Operators
1. Introduction
Ovidiu Calin, Der-Chen Chang, Kenro Furutani, Chisato Iwasaki
2. A Brief Introduction to the Calculus of Variations
Ovidiu Calin, Der-Chen Chang, Kenro Furutani, Chisato Iwasaki
3. The Geometric Method
Ovidiu Calin, Der-Chen Chang, Kenro Furutani, Chisato Iwasaki
4. Commuting Operators
Ovidiu Calin, Der-Chen Chang, Kenro Furutani, Chisato Iwasaki
5. The Fourier Transform Method
Ovidiu Calin, Der-Chen Chang, Kenro Furutani, Chisato Iwasaki
6. The Eigenfunction Expansion Method
Ovidiu Calin, Der-Chen Chang, Kenro Furutani, Chisato Iwasaki
7. The Path Integral Approach
Ovidiu Calin, Der-Chen Chang, Kenro Furutani, Chisato Iwasaki
8. The Stochastic Analysis Method
Ovidiu Calin, Der-Chen Chang, Kenro Furutani, Chisato Iwasaki
9. Laplacians and Sub-Laplacians
Ovidiu Calin, Der-Chen Chang, Kenro Furutani, Chisato Iwasaki
10. Heat Kernels for Laplacians and Step-2 Sub-Laplacians
Ovidiu Calin, Der-Chen Chang, Kenro Furutani, Chisato Iwasaki
11. Heat Kernel for the Sub-Laplacian on the Sphere
Ovidiu Calin, Der-Chen Chang, Kenro Furutani, Chisato Iwasaki
12. Finding Heat Kernels Using the Laguerre Calculus
Ovidiu Calin, Der-Chen Chang, Kenro Furutani, Chisato Iwasaki
13. Constructing Heat Kernels for Degenerate Elliptic Operators
Ovidiu Calin, Der-Chen Chang, Kenro Furutani, Chisato Iwasaki
14. Heat Kernel for the Kohn Laplacian on the Heisenberg Group
Ovidiu Calin, Der-Chen Chang, Kenro Furutani, Chisato Iwasaki
15. The Pseudo-Differential Operator Technique
Ovidiu Calin, Der-Chen Chang, Kenro Furutani, Chisato Iwasaki
Avainsanat: Mathematics, Partial Differential Equations, Mathematical Methods in Physics, Operator Theory, Differential Geometry, Probability Theory and Stochastic Processes, Abstract Harmonic Analysis
- Tekijä(t)
- Calin, Ovidiu
- Chang, Der-Chen
- Furutani, Kenro
- Iwasaki, Chisato
- Julkaisija
- Springer
- Julkaisuvuosi
- 2011
- Kieli
- en
- Painos
- 1
- Sarja
- Applied and Numerical Harmonic Analysis
- Sivumäärä
- 18 sivua
- Kategoria
- Eksaktit luonnontieteet
- Tiedostomuoto
- E-kirja
- eISBN (PDF)
- 9780817649951