スペクトル理論と応用 Spectral Theory and Applications (Contemporary Mathematics)

Girouard, Alexandre (EDT)

American Mathematical Society（2018/11発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 240 p.
• 言語 ENG
• 商品コード 9781470435561
• DDC分類 515.7222

Full Description

This book is a collection of lecture notes and survey papers based on the minicourses given by leading experts at the 2016 CRM Summer School on Spectral Theory and Applications, held from July 4-14, 2016, at Universite Laval, Quebec City, Quebec, Canada. The papers contained in the volume cover a broad variety of topics in spectral theory, starting from the fundamentals and highlighting its connections to PDEs, geometry, physics, and numerical analysis.

Contents

T. Ransford, Fundamentals of spectral theory
R. S. Laugesen, Spectral theory of partial differential equations
R. Froese, From classical mechanics to quantum mechanics
F. Kwok, Numerical methods for spectral theory
Y. Canzani, Spectral geometry
R. Band and S. Gnutzmann, Quantum graphs via exercises
D. Khavinson, Spectral properties of classical integral operators and geometry.