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 evolution phenomena and diffusion processes. The work is divided into four main parts: Part I treats the heat kernel by traditional methods, such as the Fourier transform method, paths integrals, variational calculus, and eigenvalue expansion; Part II deals with the heat kernel on nilpotent Lie groups and nilmanifolds; Part III examines Laguerre calcul…
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Produktdetails
Weitere Autoren: Chang, Der-Chen / Furutani, Kenro / Calin, Ovidiu
- ISBN: 978-0-8176-4995-1
- EAN: 9780817649951
- Produktnummer: 13799680
- Verlag: Birkhäuser
- Sprache: Englisch
- Erscheinungsjahr: 2010
- Seitenangabe: 436 S.
- Plattform: PDF
- Masse: 3'521 KB
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