Skip to main content
SpringerLink
Log in
Birkhäuser

Quadrature Domains and Their Applications

The Harold S. Shapiro Anniversary Volume

  • Conference proceedings
  • © 2005

Overview

Editors:
  1. Peter Ebenfelt

    1. Department of Mathematics, University of California, San Diego, La Jolla, USA

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. 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

  3. Dmitry Khavinson

    1. Department of Mathematical Sciences, University of Arkansas, Fayetteville, USA

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  4. Mihai Putinar

    1. Mathematics Department, University of California, Santa Barbara, Santa Barbara, USA

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • Contains both original articles and survey papers covering quite a wide scope of ideas and applications in potential theory, complex analysis and applications
  • Expanded version of talks and contributed papers presented at the conference in March of 2003 at the UCSB to celebrate the 75th birthday of Harold S. Shapiro
  • Survey articles, written by the leading experts in the field, will help to orient the beginners in the vastly increasing literature on the subject

Part of the book series: Operator Theory: Advances and Applications (OT, volume 156)

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 (13 papers)

  1. Front Matter

    Pages i-xxviii
    Download chapter PDF

  2. What is a Quadrature Domain?

    • Björn Gustafsson, Harold S. Shapiro
    Pages 1-25

  3. Recent Progress and Open Problems in the Bergman Space

    • Alexandru Aleman, Håakan Hedenmalm, Stefan Richter
    Pages 27-59

  4. The Bergman Kernel and Quadrature Domains in the Plane

    • Steven R. Bell
    Pages 61-78

  5. The Cauchy Transform

    • Joseph A. Cima, Alec Matheson, William T. Ross
    Pages 79-111

  6. Quadrature Domains and Fluid Dynamics

    • Darren Crowdy
    Pages 113-129

  7. On Uniformly Discrete Sequences in the Disk

    • Peter Dure, Alexander Schuste, Dragan Vukotić
    Pages 131-150

  8. Algebraic Aspects of the Dirichlet Problem

    • P. Ebenfelt, D. Khavinson, H.S. Shapiro
    Pages 151-172

  9. Linear Analysis of Quadrature Domains. IV

    • Björn Gustafsson, Mihai Putinar
    Pages 173-194

  10. Restriction, Localization and Microlocalization

    • Makoto Sakai
    Pages 195-205

  11. Quadrature Domains and Brownian Motion (A Heuristic Approach)

    • Henrik Shahgholian
    Pages 207-215

  12. Weighted Composition Operators Associated with Conformal Mappings

    • Serguei Shimorin
    Pages 217-237

  13. Quadrature Identities and Deformation of Quadrature Domains

    • Tomas Sjödin
    Pages 239-255

  14. Subharmonicity of Higher Dimensional Exponential Transforms

    • Vladimir G. Tkachev
    Pages 257-277
Back to top

Keywords

About this book

Quadrature domains were singled out about 30 years ago by D. Aharonov and H.S. Shapiro in connection with an extremal problem in function theory. Since then, a series of coincidental discoveries put this class of planar domains at the center of crossroads of several quite independent mathematical theories, e.g., potential theory, Riemann surfaces, inverse problems, holomorphic partial differential equations, fluid mechanics, operator theory. The volume is devoted to recent advances in the theory of quadrature domains, illustrating well the multi-facet aspects of their nature. The book contains a large collection of open problems pertaining to the general theme of quadrature domains.

Editors and Affiliations

  • Department of Mathematics, University of California, San Diego, La Jolla, USA

    Peter Ebenfelt

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

    Björn Gustafsson

  • Department of Mathematical Sciences, University of Arkansas, Fayetteville, USA

    Dmitry Khavinson

  • Mathematics Department, University of California, Santa Barbara, Santa Barbara, USA

    Mihai Putinar

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation