Analysis and Mathematical Physics

By: BjÃ¶rn Gustafsson (Editor), Alexander Vasil'ev (Editor)

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Hardcover | 17 June 2009

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524 Pages

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Our knowledge of objects of complex and potential analysis has been enhanced recently by ideas and constructions of theoretical and mathematical physics, such as quantum field theory, nonlinear hydrodynamics, material science. These are some of the themes of this refereed collection of papers, which grew out of the first conference of the European Science Foundation Networking Programme 'Harmonic and Complex Analysis and Applications' held in Norway 2007.

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From the reviews: "This volume is based on lectures delivered at the International Conference 'New trends in Harmonic and Complex Analysis', held May 7-12, 2007 ! . results presented in this volume trace further developments of frontier research exploring the bridge between complex real analysis potential theory partial differential equations and modern topics of fluid mechanics and mathematical physics. The present volume will be of interest for specialists and graduate students in mathematics and mathematical physics. Many papers in this volume are surveys whereas others represent original research." (L'Enseignement Mathematique, Vol. 56 (2), 2010)

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Non-Fiction Science Physics Mathematical Physics Mathematics Calculus & Mathematical Analysis Real Analysis Applied Mathematics

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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