Book Volume 27 2005

Perspectives in Analysis

Essays in Honor of Lennart Carleson’s 75th Birthday

ISBN: 978-3-540-30432-6 (Print) 978-3-540-30434-0 (Online)

Table of contents (14 chapters)

  1. Front Matter

    Pages I-XIV

  2. Chapter

    Pages 1-15

    The Rosetta Stone of L-functions

  3. Chapter

    Pages 17-26

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

  4. Chapter

    Pages 27-35

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

  5. Chapter

    Pages 37-49

    Open Questions on the Mumford-Shah Functional

  6. Chapter

    Pages 51-61

    Multi-scale Modeling

  7. Chapter

    Pages 63-72

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

  8. Chapter

    Pages 73-81

    On Scaling Properties of Harmonic Measure

  9. Chapter

    Pages 83-95

    The Heritage of Fourier

  10. Chapter

    Pages 97-183

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

  11. Chapter

    Pages 185-252

    Meromorphic Inner Functions, Toeplitz Kernels and the Uncertainty Principle

  12. Chapter

    Pages 253-268

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

  13. Chapter

    Pages 269-281

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

  14. Chapter

    Pages 283-293

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

  15. Chapter

    Pages 295-376

    Encounters with Science: Dialogues in Five Parts

  16. Back Matter

    Pages 377-378