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New Analytic and Geometric Methods in Inverse Problems

Lectures given at the EMS Summer School and Conference held in Edinburgh, Scotland 2000

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Table of contents (14 chapters)

  1. Front Matter

    Pages I-XVI
  2. EMS Summer School

    1. Front Matter

      Pages 1-1
    2. Metric Geometry

      • Yuri Burago, David Shoenthal
      Pages 3-50
    3. Intertwining Operators in Inverse Scattering

      • Anders Holst, Anders Melin
      Pages 51-92
    4. Gaussian Beams and Inverse Boundary Spectral Problems

      • Alexander Katchalov, Matti Lassas
      Pages 127-163
    5. Analytic Methods for Inverse Scattering Theory

      • Lassi Päivärinta
      Pages 165-185
    6. Ray Transform on Riemannian Manifolds

      • Vladimir A. Sharafutdinov
      Pages 187-259
    7. On the Local Dirichlet-to-Neumann Map

      • Gunther Uhlmann
      Pages 261-279

About this book

In inverse problems, the aim is to obtain, via a mathematical model, information on quantities that are not directly observable but rather depend on other observable quantities. Inverse problems are encountered in such diverse areas of application as medical imaging, remote sensing, material testing, geosciences and financing. It has become evident that new ideas coming from differential geometry and modern analysis are needed to tackle even some of the most classical inverse problems. This book contains a collection of presentations, written by leading specialists, aiming to give the reader up-to-date tools for understanding the current developments in the field.

Editors and Affiliations

  • Institute of Mathematics, Helsinki University of Technology, Finland

    Kenrick Bingham, Erkki Somersalo

  • Department of Mathematical Sciences, Loughborough University, Loughborough, Leicestershire, UK

    Yaroslav V. Kurylev

Bibliographic Information

  • Book Title: New Analytic and Geometric Methods in Inverse Problems

  • Book Subtitle: Lectures given at the EMS Summer School and Conference held in Edinburgh, Scotland 2000

  • Editors: Kenrick Bingham, Yaroslav V. Kurylev, Erkki Somersalo

  • DOI: https://doi.org/10.1007/978-3-662-08966-8

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2004

  • Hardcover ISBN: 978-3-540-40682-2Published: 05 November 2003

  • Softcover ISBN: 978-3-642-07379-3Published: 30 November 2010

  • eBook ISBN: 978-3-662-08966-8Published: 17 April 2013

  • Edition Number: 1

  • Number of Pages: XVI, 381

  • Topics: Analysis, Partial Differential Equations, Differential Geometry

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access