Trends in Mathematics

Analysis and Mathematical Physics

Editors: Gustafsson, Bjorn, Vasiliev, Alexander (Eds.)

  • The European Science Foundation Networking Programme 'Harmonic and Complex Analysis and Applications' unites leading schools in analysis in Europe. In many cases, mathematical predictional power continues to make progress while the physical basis (in particular that of experimental physics) runs out power, due to natural engineering, technological and economical limitations. On the other hand, the fundamental mathematical understanding has to be modernized and updated. Complex and potential analysis in a broad sense has proved to be one of the most useful fields for providing a theoretical basis for mathematical physics.

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Hardcover $179.00
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About this book

Our knowledge of objects of complex and potential analysis has been enhanced recently by ideas and constructions of theoretical and mathematical physics, such as quantum field theory, nonlinear hydrodynamics, material science. These are some of the themes of this refereed collection of papers, which grew out of the first conference of the European Science Foundation Networking Programme 'Harmonic and Complex Analysis and Applications' held in Norway 2007.

Reviews

From the reviews:

 “This volume is based on lectures delivered at the International Conference ‘New trends in Harmonic and Complex Analysis’, held May 7-12, 2007 … . results presented in this volume trace further developments of frontier research exploring the bridge between complex real analysis potential theory partial differential equations and modern topics of fluid mechanics and mathematical physics. The present volume will be of interest for specialists and graduate students in mathematics and mathematical physics. Many papers in this volume are surveys whereas others represent original research.” (L'Enseignement Mathématique, Vol. 56 (2), 2010)


Table of contents (26 chapters)

  • From Diff (S 1) to Univalent Functions. Cases of Degeneracy

    Airault, Hélène

    Pages 1-19

  • Poincaré—Steklov Integral Equations and Moduli of Pants

    Bogatyrev, Andrei

    Pages 21-48

  • Generalized Hamilton—Jacobi Equation and Heat Kernel on Step Two Nilpotent Lie Groups

    Calin, Ovidiu (et al.)

    Pages 49-76

  • Bergen Lecture on $$ \bar \partial $$ -Neumann Problem

    Chang, Der-Chen

    Pages 77-106

  • Numerical Scheme for Laplacian Growth Models Based on the Helmholtz—Kirchhoff Method

    Demidov, A.S. (et al.)

    Pages 107-114

Buy this book

eBook $139.00
price for USA (gross)
  • ISBN 978-3-7643-9906-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.00
price for USA
  • ISBN 978-3-7643-9905-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Analysis and Mathematical Physics
Editors
  • Bjorn Gustafsson
  • Alexander Vasiliev
Series Title
Trends in Mathematics
Copyright
2009
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Basel
eBook ISBN
978-3-7643-9906-1
DOI
10.1007/978-3-7643-9906-1
Hardcover ISBN
978-3-7643-9905-4
Series ISSN
2297-0215
Edition Number
1
Number of Pages
VIII, 514
Topics