Analysis and Mathematical Physics

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ISBN: 9783764399054 | 3764399058
Cover: Hardcover
Copyright: 7/1/2009

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This volume is based on lectures delivered at the international conference "New trends in harmonic and complex analysis", held May 7-12, 2007 in Voss, Norway, and organized by the University of Bergen and the Norwegian University of Science and Technology, Trondheim. It became the kick-off conference for the European Science Foundation Networking Programme "Harmonic and Complex Analysis and its Applications" (2007-2012).

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Preface	p. vii
From Diff(S1) to Univalent Functions. Cases of Degeneracy	p. 1
Poincaré-Steklov Integral Equations and Moduli of Pants	p. 21
Generalized Hamilton-Jacobi Equation and Heat Kernel on Step Two Nilpotent Lie Groups	p. 49
Bergen Lecture on $$-Neumann Problem	p. 77
Numerical Scheme for Laplacian Growth Models Based on the Helmholtz-Kirchhoff Method	p. 107
Gravitational Lensing by Elliptical Galaxies, and the Schwarz Function	p. 115
Nevanlinna Domains in Problems of Polyanalytic Polynomial Approximation	p. 131
Potential Theory in Denjoy Domains	p. 143
Carathéodory Convergence of Immediate Basins of Attraction to a Siegel Disk	p. 167
Rings and Lipschitz Continuity of Quasiconformal Mappings	p. 187
A Theoretical Algorithm to get a Schottky Uniformization from a Fuchsian one	p. 193
Scattering from Sparse Potentials: a Deterministic Approach	p. 205
Application of ATS in a Quantum-optical Model	p. 211
Geometry of Carnot-Carathéodory Spaces, Differentiability, Coarea and Area Formulas	p. 233
Fourier Transforms of UD Integrals	p. 337
Fredholm Eigenvalues of Jordan Curves: Geometric, Variational and Computational Aspects	p. 349
A Note on the Life-span of Classical Solutions to the Hele-Shaw Problem	p. 369
The Fourier Transforms of General Monotone Functions	p. 377
Traces of Höet;rmander Algebras on Discrete Sequences	p. 397
Resonance Dynamics and Decoherence	p. 409
Ramified Integrals, Casselman Phenomenon, and Holomorphic Continuations of Group Representations	p. 427
The Stability of Solitary Waves of Depression	p. 441
Singular and Tangent Slit Solutions to the Löet;wner Equation	p. 455
A Remark on Amoebas in Higher Codimensions	p. 465
Quadratic Differentials and Weighted Graphs on Compact Surfaces	p. 473
Riesz Transforms and Rectifiability	p. 507
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Analysis and Mathematical Physics

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