Skip to main content
SpringerLink
Log in
Birkhäuser

Analysis and Mathematical Physics

  • Conference proceedings
  • © 2009

Overview

Editors:
  1. Björn Gustafsson

    1. Department of Mathematics, Royal Institute of Technology (KTH), Stockholm, Sweden

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. Alexander Vasil’ev

    1. Department of Mathematics, University of Bergen, Bergen, Norway

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • 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.
  • Includes supplementary material: sn.pub/extras

Part of the book series: Trends in Mathematics (TM)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 169.99
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

Licence this eBook for your library

Institutional subscriptions

Table of contents (26 papers)

  1. Front Matter

    Pages i-viii
    Download chapter PDF

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

    • Hélène Airault
    Pages 1-19

  3. Poincaré—Steklov Integral Equations and Moduli of Pants

    • Andrei Bogatyrev
    Pages 21-48

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

    • Ovidiu Calin, Der-Chen Chang, Irina Markina
    Pages 49-76

  5. Bergen Lecture on \( \bar \partial \)-Neumann Problem

    • Der-Chen Chang
    Pages 77-106

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

    • A.S. Demidov, J. -P. Lohéac
    Pages 107-114

  7. Gravitational Lensing by Elliptical Galaxies, and the Schwarz Function

    • C.D. Fassnacht, C.R. Keeton, D. Khavinson
    Pages 115-129

  8. Nevanlinna Domains in Problems of Polyanalytic Polynomial Approximation

    • Konstantin Yu. Fedorovskiy
    Pages 131-142

  9. Potential Theory in Denjoy Domains

    • Stephen J. Gardiner, Tomas Sjödin
    Pages 143-166

  10. Carathéodory Convergence of Immediate Basins of Attraction to a Siegel Disk

    • Pavel Gumenyuk
    Pages 167-186

  11. Rings and Lipschitz Continuity of Quasiconformal Mappings

    • Vladimir Gutlyanskiĭ, Anatoly Golberg
    Pages 187-192

  12. A Theoretical Algorithm to get a Schottky Uniformization from a Fuchsian one

    • Rubén A. Hidalgo
    Pages 193-204

  13. Scattering from Sparse Potentials: a Deterministic Approach

    • Vojkan Jakšić, Philippe Poulin
    Pages 205-210

  14. Application of ATS in a Quantum-optical Model

    • Anatolii A. Karatsuba, Ekatherina A. Karatsuba
    Pages 211-232

  15. Geometry of Carnot-Carathéodory Spaces, Differentiability, Coarea and Area Formulas

    • Maria Karmanova, Sergey Vodop′yanov
    Pages 233-335

  16. Fourier Transforms of UD Integrals

    • Igor Kondrashuk, Anatoly Kotikov
    Pages 337-347

  17. Fredholm Eigenvalues of Jordan Curves: Geometric, Variational and Computational Aspects

    • Samuel Krushkal
    Pages 349-368

  18. A Note on Life-span of Classical Solutions to the Hele—Shaw Problem

    • Alexander Kuznetsov
    Pages 369-376

  19. The Fourier Transforms of General Monotone Functions

    • E. Liflyand, S. Tikhonov
    Pages 377-395

  20. Traces of Hörmander Algebras on Discrete Sequences

    • Xavier Massaneda, Joaquim Ortega-Cerdà, Myriam Ounal’es
    Pages 397-408
Back to top

Keywords

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)

Editors and Affiliations

  • Department of Mathematics, Royal Institute of Technology (KTH), Stockholm, Sweden

    Björn Gustafsson

  • Department of Mathematics, University of Bergen, Bergen, Norway

    Alexander Vasil’ev

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation