© 2009

Analysis and Mathematical Physics

  • Björn Gustafsson
  • Alexander Vasil’ev


  • 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.

Conference proceedings

Part of the Trends in Mathematics book series (TM)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Ovidiu Calin, Der-Chen Chang, Irina Markina
    Pages 49-76
  3. C.D. Fassnacht, C.R. Keeton, D. Khavinson
    Pages 115-129
  4. Stephen J. Gardiner, Tomas Sjödin
    Pages 143-166
  5. Vladimir Gutlyanskiĭ, Anatoly Golberg
    Pages 187-192
  6. Vojkan Jakšić, Philippe Poulin
    Pages 205-210
  7. Anatolii A. Karatsuba, Ekatherina A. Karatsuba
    Pages 211-232
  8. Igor Kondrashuk, Anatoly Kotikov
    Pages 337-347
  9. E. Liflyand, S. Tikhonov
    Pages 377-395
  10. Xavier Massaneda, Joaquim Ortega-Cerdà, Myriam Ounal’es
    Pages 397-408

About these proceedings


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.


Approximation Complex analysis Eigenvalue Nevanlinna theory Potential analysis calculus differential equation linear optimization mathematical physics partial differential equations

Editors and affiliations

  • Björn Gustafsson
    • 1
  • Alexander Vasil’ev
    • 2
  1. 1.Department of MathematicsRoyal Institute of Technology (KTH)StockholmSweden
  2. 2.Department of MathematicsUniversity of BergenBergenNorway

Bibliographic information

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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)