Ebook: Aspects of Boundary Problems in Analysis and Geometry
- Tags: Global Analysis and Analysis on Manifolds, Operator Theory, Partial Differential Equations, Differential Geometry, Manifolds and Cell Complexes (incl. Diff.Topology)
- Series: Operator Theory: Advances and Applications 151
- Year: 2004
- Publisher: Birkhäuser Basel
- Edition: 1
- Language: English
- pdf
Boundary problems constitute an essential field of common mathematical interest. The intention of this volume is to highlight several analytic and geometric aspects of boundary problems with special emphasis on their interplay. It includes surveys on classical topics presented from a modern perspective as well as reports on current research.
The collection splits into two related groups:
- analysis and geometry of geometric operators and their index theory
- elliptic theory of boundary value problems and the Shapiro-Lopatinsky condition
Boundary problems constitute an essential field of common mathematical interest. The intention of this volume is to highlight several analytic and geometric aspects of boundary problems with special emphasis on their interplay. It includes surveys on classical topics presented from a modern perspective as well as reports on current research.
The collection splits into two related groups:
- analysis and geometry of geometric operators and their index theory
- elliptic theory of boundary value problems and the Shapiro-Lopatinsky condition
Boundary problems constitute an essential field of common mathematical interest. The intention of this volume is to highlight several analytic and geometric aspects of boundary problems with special emphasis on their interplay. It includes surveys on classical topics presented from a modern perspective as well as reports on current research.
The collection splits into two related groups:
- analysis and geometry of geometric operators and their index theory
- elliptic theory of boundary value problems and the Shapiro-Lopatinsky condition
Content:
Front Matter....Pages i-xii
Spectral invariants of operators of Dirac type on partitioned manifolds....Pages 1-130
Index theory of Dirac operators on manifolds with corners up to codimension two....Pages 131-169
Index defects in the theory of spectral boundary value problems....Pages 170-238
Cyclic homology and pseudodifferential operators, a survey....Pages 239-264
Index and secondary index theory for flat bundles with duality....Pages 265-341
Toeplitz operators, and ellipticity of boundary value problems with global projection conditions....Pages 342-429
On the tangential oblique derivative problem — methods, results, open problems....Pages 430-471
A note on boundary value problems on manifolds with cylindrical ends....Pages 472-494
Relative elliptic Theory....Pages 495-560
Back Matter....Pages 562-562
Boundary problems constitute an essential field of common mathematical interest. The intention of this volume is to highlight several analytic and geometric aspects of boundary problems with special emphasis on their interplay. It includes surveys on classical topics presented from a modern perspective as well as reports on current research.
The collection splits into two related groups:
- analysis and geometry of geometric operators and their index theory
- elliptic theory of boundary value problems and the Shapiro-Lopatinsky condition
Content:
Front Matter....Pages i-xii
Spectral invariants of operators of Dirac type on partitioned manifolds....Pages 1-130
Index theory of Dirac operators on manifolds with corners up to codimension two....Pages 131-169
Index defects in the theory of spectral boundary value problems....Pages 170-238
Cyclic homology and pseudodifferential operators, a survey....Pages 239-264
Index and secondary index theory for flat bundles with duality....Pages 265-341
Toeplitz operators, and ellipticity of boundary value problems with global projection conditions....Pages 342-429
On the tangential oblique derivative problem — methods, results, open problems....Pages 430-471
A note on boundary value problems on manifolds with cylindrical ends....Pages 472-494
Relative elliptic Theory....Pages 495-560
Back Matter....Pages 562-562
....