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Aspects of Boundary Problems in Analysis and Geometry

  • Book
  • © 2004

Overview

Editors:
  1. Juan Gil

    1. Department of Mathematics, Penn State Altoona, Altoona, USA

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  2. Thomas Krainer

    1. Institute of Mathematics, University of Potsdam, Potsdam, Germany

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  3. Ingo Witt

    1. Institute of Mathematics, University of Potsdam, Potsdam, Germany

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  • Invited contributions by outstanding experts in the field of boundary problems in analysis and geometry
  • The survey style of the contributions makes the topics accessible to a broad audience with a background in analysis or geometry, and enables the reader to get a quick overview

Part of the book series: Operator Theory: Advances and Applications (OT, volume 151)

Part of the book sub series: Advances in Partial Differential Equations (APDE)

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-xii
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  2. Spectral invariants of operators of Dirac type on partitioned manifolds

    • David Bleecker, Bernhelm Booss—Bavnbek
    Pages 1-130

  3. Index theory of Dirac operators on manifolds with corners up to codimension two

    • Paul Loya
    Pages 131-169

  4. Index defects in the theory of spectral boundary value problems

    • Anton Savin, Boris Sternin
    Pages 170-238

  5. Cyclic homology and pseudodifferential operators, a survey

    • Moulay-Tahar Benameur, Jacek Brodzki, Victor Nistor
    Pages 239-264

  6. Index and secondary index theory for flat bundles with duality

    • Ulrich Bunke, Xiaonan Ma
    Pages 265-341

  7. Toeplitz operators, and ellipticity of boundary value problems with global projection conditions

    • B.-W. Schulze
    Pages 342-429

  8. On the tangential oblique derivative problem — methods, results, open problems

    • Peter Popivanov
    Pages 430-471

  9. A note on boundary value problems on manifolds with cylindrical ends

    • Marius Mitrea, Victor Nistor
    Pages 472-494

  10. Relative elliptic Theory

    • Vladimir Nazaikinskii, Boris Sternin
    Pages 495-560

  11. Back Matter

    Pages 562-562
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Keywords

About this book

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

Editors and Affiliations

  • Department of Mathematics, Penn State Altoona, Altoona, USA

    Juan Gil

  • Institute of Mathematics, University of Potsdam, Potsdam, Germany

    Thomas Krainer, Ingo Witt

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