Notes on classical potential theory
โ Scribed by Papadimitrakis M.
- Publisher
- Univ of Crete
- Year
- 2004
- Tongue
- English
- Leaves
- 264
- Edition
- web draft
- Category
- Library
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
<p>From its origins in Newtonian physics, potential theory has developed into a major field of mathematical research. This book provides a comprehensive treatment of classical potential theory: it covers harmonic and subharmonic functions, maximum principles, polynomial expansions, Green functions,
1. Harmonic Functions -- 1.1. Laplace's equation -- 1.2. The mean value property -- 1.3. The Poisson integral for a ball -- 1.4. Harnack's inequalities -- 1.5. Families of harmonic functions: convergence properties -- 1.6. The Kelvin transform -- 1.7. Harmonic functions on half-spaces -- 1.8. Real-a
The Jacquet-Langlands correspondence is an important case of the functorial principle in the Langlands program. This book is written by the founder of the eminent French school of automorphic representations and gives an accessible introduction to the Jacquet-Langlands correspondence. It starts from