The purpose of the essays collected in this volume is to consider the future of analysis and related areas of physics. It is published in honor of Lennart Carleson, who has devoted much of his career to broadening the scope of harmonic analysis. Written by leading mathematicians and mathematical physicists, the articles should inspire new avenues of research. The collection shows the impressive relationship between physical intuition and mathematical analysis. These essays give confidence that the meeting ground between these areas of mathematics and physics will only grow more fertile in the future.
Author(s): Enrico Bombieri (auth.), Michael Benedicks, Peter W. Jones, Stanislav Smirnov, Björn Winckler (eds.)
Series: Mathematical Physics Studies 27
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2005
Language: English
Pages: 378
Tags: Analysis;Mathematical Methods in Physics
The Rosetta Stone of L -functions....Pages 1-15
New Encounters in Combinatorial Number Theory: From the Kakeya Problem to Cryptography....Pages 17-26
Perspectives and Challenges to Harmonic Analysis and Geometry in High Dimensions: Geometric Diffusions as a Tool for Harmonic Analysis and Structure Definition of Data....Pages 27-35
Open Questions on the Mumford-Shah Functional....Pages 37-49
Multi-scale Modeling....Pages 51-61
Mass in Quantum Yang-Mills Theory (Comment on a Clay Millennium Problem)....Pages 63-72
On Scaling Properties of Harmonic Measure....Pages 73-81
The Heritage of Fourier....Pages 83-95
The Quantum-Mechanical Many-Body Problem: The Bose Gas....Pages 97-183
Meromorphic Inner Functions, Toeplitz Kernels and the Uncertainty Principle....Pages 185-252
Heat Measures and Unitarizing Measures for Berezinian Representations on the Space of Univalent Functions in the Unit Disk....Pages 253-268
On Local and Global Existence and Uniqueness of Solutions of the 3D Navier—Stokes System on ℝ 3 ....Pages 269-281
Analysis on Lie Groups: An Overview of Some Recent Developments and Future Prospects....Pages 283-293
Encounters with Science: Dialogues in Five Parts....Pages 295-376
