Analysis and Mathematical Physics

Front Matter....Pages i-viii
From Diff ( S 1 ) to Univalent Functions. Cases of Degeneracy....Pages 1-19
Poincaré—Steklov Integral Equations and Moduli of Pants....Pages 21-48
Generalized Hamilton—Jacobi Equation and Heat Kernel on Step Two Nilpotent Lie Groups....Pages 49-76
Numerical Scheme for Laplacian Growth Models Based on the Helmholtz—Kirchhoff Method....Pages 77-106
Gravitational Lensing by Elliptical Galaxies, and the Schwarz Function....Pages 107-114
Nevanlinna Domains in Problems of Polyanalytic Polynomial Approximation....Pages 115-129
Potential Theory in Denjoy Domains....Pages 131-142
Carathéodory Convergence of Immediate Basins of Attraction to a Siegel Disk....Pages 143-166
Rings and Lipschitz Continuity of Quasiconformal Mappings....Pages 167-186
A Theoretical Algorithm to get a Schottky Uniformization from a Fuchsian one....Pages 187-192
Scattering from Sparse Potentials: a Deterministic Approach....Pages 193-204
Application of ATS in a Quantum-optical Model....Pages 205-210
Geometry of Carnot-Carathéodory Spaces, Differentiability, Coarea and Area Formulas....Pages 211-232
Fourier Transforms of UD Integrals....Pages 233-335
Fredholm Eigenvalues of Jordan Curves: Geometric, Variational and Computational Aspects....Pages 337-347
A Note on Life-span of Classical Solutions to the Hele—Shaw Problem....Pages 349-368
The Fourier Transforms of General Monotone Functions....Pages 369-376
Traces of Hörmander Algebras on Discrete Sequences....Pages 377-395
Resonance Dynamics and Decoherence....Pages 397-408
Ramified Integrals, Casselman Phenomenon, and Holomorphic Continuations of Group Representations....Pages 409-426
The Stability of Solitary Waves of Depression....Pages 427-439
Singular and Tangent Slit Solutions to the Löwner Equation....Pages 441-453
A Remark on Amoebas in Higher Codimensions....Pages 455-463
Quadratic Differentials and Weighted Graphs on Compact Surfaces....Pages 465-471
Riesz Transforms and Rectifiability....Pages 473-505
....Pages 507-514