This volume is a collection of papers reflecting the conference held in Nahariya, Israel in honor of Professor Lawrence Zalcman's sixtieth birthday. The papers, many written by leading authorities, range widely over classical complex analysis of one and several variables, differential equations, and integral geometry. The topics covered include, but are not limited to, these areas within the theory of functions of one complex variable: complex dynamics, elliptic functions, Kleinian groups, quasiconformal mappings, Tauberian theorems, univalent functions, and value distribution theory. Altogether, the papers in this volume provide a comprehensive overview of activity in complex analysis at the beginning of the twenty-first century and testify to the continuing vitality of the interplay between classical and modern analysis. It is suitable for graduate students and researchers interested in computer analysis and differential geometry.
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978-0-8218-3709-2 (9780821837092)
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Schweitzer Klassifikation
Lawrence Zalcman at sixty by M. Agranovsky and D. Shoikhet Bibliography of Lawrence Zalcman by M. Agranovsky and D. Shoikhet A local two radii theorem for the twisted spherical means on $\mathbb{C}^n$ by M. L. Agranovsky and E. K. Narayanan A multiplicator problem and characteristics of growth of entire functions by V. Azarin Are they limit periodic? by J. Bellissard, J. Geronimo, A. Volberg, and P. Yuditskii Quasinormal families and periodic points by W. Bergweiler Local center conditions for the Abel equation and cyclicity of its zero solution by M. Blinov, M. Briskin, and Y. Yomdin Univalent functions starlike with respect to a boundary point by D. Bshouty and A. Lyzzaik On the geometry induced by a Grusin operator by O. Calin, D.-C. Chang, P. Greiner, and Y. Kannai The Koenigs embedding problem for operator affine mappings by M. Elin and V. Khatskevich On an arithmetical function II by H. M. Farkas A glance at Wiman-Valiron theory by P. C. Fenton Billiards in an ellipse by L. Flatto $(p,q,r)$-Kleinian groups and the Margulis constant by F. W. Gehring and G. J. Martin Holomorphic extendibility and the argument principle by J. Globevnik Homeomorphisms with finite mean dilations by A. Golberg On a connection between the number of poles of a meromorphic function and the number of zeros of its derivatives by A. Gol'dberg The general solution of the Loewner differential equation on the unit ball in $\mathbb{C}^n$ by I. Graham, G. Kohr, and J. A. Pfaltzgraff On the zeros of a $q$-Bessel function by W. K. Hayman Entire functions with no unbounded Fatou components by A. Hinkkanen A note on a theorem of J. Globevnik by D. Khavinson Behaviour of a dynamical system far from its equilibrium by F. C. Klebaner A Tauberian theorem for Laplace transforms with pseudofunction boundary behavior by J. Korevaar The Schwarzian derivative and complex Finsler metrics by S. L. Krushkal On evaluation of the Cauchy principal value of the singular Cauchy-Szego integral in a ball of $\mathbb{C}^n$ by A. M. Kytmanov and S. G. Myslivets Boundary properties of convex functions by A. Lecko Regularization of a solution to the Cauchy problem for the system of thermoelasticity by O. Makhmudov and I. E. Niyozov Modules of vector measures on the Heisenberg group by I. Markina An analogue of the Fuglede formula in integral geometry on matrix spaces by E. Ournycheva and B. Rubin Characteristic problems for the spherical mean transform by V. P. Palamodov On the essential spectrum of electromagnetic Schrodinger operators by V. S. Rabinovich A critical example for the necessary and sufficient condition for unique quasiconformal extremality by E. Reich Generic convergence of iterates for a class of nonlinear mappings in hyperbolic spaces by S. Reich and A. J. Zaslavski The Beltrami equation and FMO functions by V. Ryazanov, U. Srebro, and E. Yakubov Pseudodifferential operators with operator-valued symbols by B.-W. Schulze and N. Tarkhanov Pluripolar sets and pseudocontinuation by J. Siciak Convolution inverses by H. Silverman and E. M. Silvia Composition operators on Sobolev spaces by S. K. Vodopyanov New results in integral geometry by V. V. Volchkov and Vit. V. Volchkov.
