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Perspectives in Analysis

Essays in Honor of Lennart Carleson's 75th Birthday

  • Conference proceedings
  • © 2005

Overview

Editors:
  1. Michael Benedicks

    1. Department of Mathematics, Royal Institute of Technology, Stockholm, Sweden

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  2. Peter W. Jones

    1. Department of Mathematics, Yale University, New Haven, USA

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  3. Stanislav Smirnov

    1. Department of Mathematics, Royal Institute of Technology, Stockholm, Sweden
      Section de Mathématiques, Université de Genève, Genève 4, Switzerland

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  4. Björn Winckler

    1. Department of Mathematics, University of Groningen, Groningen, The Netherlands

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  • Among the authors there are winners of the Max-Planck Medal and the Fields Medal.
  • All are really outstanding world-class experts in mathematical analysis and mathematical physics

Part of the book series: Mathematical Physics Studies (MPST, volume 27)

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Table of contents (14 papers)

  1. Front Matter

    Pages I-XIV
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  2. The Rosetta Stone of L-functions

    • Enrico Bombieri
    Pages 1-15

  3. New Encounters in Combinatorial Number Theory: From the Kakeya Problem to Cryptography

    • J. Bourgain
    Pages 17-26

  4. Perspectives and Challenges to Harmonic Analysis and Geometry in High Dimensions: Geometric Diffusions as a Tool for Harmonic Analysis and Structure Definition of Data

    • R. R. Coifman
    Pages 27-35

  5. Open Questions on the Mumford-Shah Functional

    • Guy David
    Pages 37-49

  6. Multi-scale Modeling

    • Björn Engquist
    Pages 51-61

  7. Mass in Quantum Yang-Mills Theory (Comment on a Clay Millennium Problem)

    • L. D. Faddeev
    Pages 63-72

  8. On Scaling Properties of Harmonic Measure

    • Peter W. Jones
    Pages 73-81

  9. The Heritage of Fourier

    • Jean-Pierre Kahane
    Pages 83-95

  10. The Quantum-Mechanical Many-Body Problem: The Bose Gas

    • Elliott H. Lieb, Robert Seiringer, Jan Philip Solovej, Jakob Yngvason
    Pages 97-183

  11. Meromorphic Inner Functions, Toeplitz Kernels and the Uncertainty Principle

    • N. Makarov, A. Poltoratski
    Pages 185-252

  12. Heat Measures and Unitarizing Measures for Berezinian Representations on the Space of Univalent Functions in the Unit Disk

    • Paul Malliavin
    Pages 253-268

  13. On Local and Global Existence and Uniqueness of Solutions of the 3D Navier—Stokes System on ℝ3

    • Ya. G. Sinai
    Pages 269-281

  14. Analysis on Lie Groups: An Overview of Some Recent Developments and Future Prospects

    • Nicholas Th. Varopoulos
    Pages 283-293

  15. Encounters with Science: Dialogues in Five Parts

    • Lars Gårding
    Pages 295-376

  16. Back Matter

    Pages 377-378
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Keywords

About this book

The Conference “Perspectives in Analysis” was held during May 26–28, 2003 at the Royal Institute of Technology in Stockholm, Sweden. The purpose of the conference was to consider the future of analysis along with its relations to other areas of mathematics and physics, and to celebrate the seventy-?fth birthday of Lennart Carleson. The scienti?c theme was one with which the name of Lennart Carleson has been associated for over ?fty years. His modus operandi has long been to carry out a twofold approach to the selection of research problems. First one should look for promising new areas of ana- sis, especially those having close contact with physically oriented problems of geometric character. The second step is to select a core set of problems that require new techniques for their resolutions. After making a central contri- tion, Lennart would usually move on to a new area, though he might return to the topic of his previous work if new techniques were developed that could break old mathematical log jams. Lennart’s operating approach is based on fundamental realities of modern mathematics as well as his own inner c- victions. Here we ?rst refer to an empirical fact of mathematical research: All topics have a ?nite half-life, with ?fteen years being an upper bound for most areas. After that time it is usually a good idea to move on to so- thing new.

Editors and Affiliations

  • Department of Mathematics, Royal Institute of Technology, Stockholm, Sweden

    Michael Benedicks, Stanislav Smirnov

  • Department of Mathematics, Yale University, New Haven, USA

    Peter W. Jones

  • Section de Mathématiques, Université de Genève, Genève 4, Switzerland

    Stanislav Smirnov

  • Department of Mathematics, University of Groningen, Groningen, The Netherlands

    Björn Winckler

Bibliographic Information

  • Book Title: Perspectives in Analysis

  • Book Subtitle: Essays in Honor of Lennart Carleson's 75th Birthday

  • Editors: Michael Benedicks, Peter W. Jones, Stanislav Smirnov, Björn Winckler

  • Series Title: Mathematical Physics Studies

  • DOI: https://doi.org/10.1007/3-540-30434-7

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2005

  • Hardcover ISBN: 978-3-540-30432-6Published: 05 January 2006

  • Softcover ISBN: 978-3-642-43434-1Published: 14 November 2014

  • eBook ISBN: 978-3-540-30434-0Published: 01 June 2006

  • Series ISSN: 0921-3767

  • Series E-ISSN: 2352-3905

  • Edition Number: 1

  • Number of Pages: XIV, 378

  • Topics: Analysis, Mathematical Methods in Physics

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