Título: Partial Differential Equations VII. Encyclopedia Of Mathematical Sciences Vol. 6 | ||
Autor: Shubin, M. A. (Ed.) | Precio: $1862.50 | |
Editorial: Springer-Verlag Berlin Heidelberg | Año: 1994 | |
Tema: Matematicas, Analisis | Edición: 1ª | |
Sinopsis | ISBN: 9783540546771 | |
This EMS volume contains a survey of the principles and advanced techniques of the spectral theory of linear differential and pseudodifferential operators in finite-dimensional spaces. The basic notions and theorems are first reviewed and followed by a comprehensive presentation of a variety of advanced approaches such as the factorization method, the variational techniques, the approximate spectral projection method, and the probabilistic method, to name a few. Special attention is devoted to the spectral properties of Schrödinger and Dirac operators and of other operators as well. In addition, a special section of Sunada's recent solution of Kac's celebrated problem of whether or not "one can hear the shape of a drum" is included. |