Elliptic boundary problems for Dirac operators. (English) Zbl 0797.58004

Mathematics: Theory & Applications. Boston, MA: Birkhäuser. xviii, 307 p. (1993).
The book has 26 chapters organized into 3 parts: I. Clifford algebras and Dirac operators, II. Analytical and topological tools, III. Applications.
The aim is to present elliptic boundary value problems from an abstract point of view. The first part of the book gives a detailed exposition of Dirac operators acting on sections of bundles of Clifford modules. The second part presents the tools necessary for the analysis of the index of elliptic boundary problems. The third part presents the basic theory of elliptic boundary problems and other applications of the methods presented in the book.


58-02 Research exposition (monographs, survey articles) pertaining to global analysis
15A66 Clifford algebras, spinors
58J05 Elliptic equations on manifolds, general theory
58J32 Boundary value problems on manifolds
58J50 Spectral problems; spectral geometry; scattering theory on manifolds
35-02 Research exposition (monographs, survey articles) pertaining to partial differential equations