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The Equidistribution Theory of Holomorphic Curves. (AM-64), Volume 64

in Nevanlinna theory and several complex variables. The treatment is differential geometric throughout, and assumes no previous acquaintance with the;

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Nevanlinna Theory

This book deals with the classical theory of Nevanlinna on the value distribution of meromorphic functions of one complex variable, based;

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Nevanlinna Theory, Normal Families, and Algebraic Differential Equations

This book offers a modern introduction to Nevanlinna theory and its intricate relation to the theory of normal families, algebraic;

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Conservative Realizations of Herglotz-Nevanlinna Functions

This book is devoted to conservative realizations of various classes of Stieltjes, inverse Stieltjes, and general Herglotz-Nevanlinna;

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Value Distribution in P-Adic Analysis

field are examined. The ultrametric Corona problem is studied. Injective analytic elements are characterized. The p-adic Nevanlinna theory;

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Tropical Value Distribution Theory And Ultra-discrete Equations

version of the Nevanlinna theory, describing growth and value distribution analysis of continuous, piecewise real function on the real axis. The;

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Operator Analysis

unit disc. Model theory and the network realization formula are used to solve Nevanlinna-Pick interpolation problems, and the same techniques;

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J-Contractive Matrix Valued Functions and Related Topics

geometry of finite dimensional spaces with an indefinite inner product, and the theory of the Nevanlinna class of matrix valued functions with;

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Riemann Hypothesis for Function Fields

Bombieri's proof of the Riemann Hypothesis for function fields, along with an explanation of the connections with Nevanlinna theory and non;

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The Riemann Hypothesis for Function Fields

Bombieri's proof of the Riemann Hypothesis for function fields, along with an explanation of the connections with Nevanlinna theory and non;

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Metric Constrained Interpolation, Commutant Lifting and Systems

This monograph combines the commutant lifting theorem for operator theory and the state space method from system theory to provide a;

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Spectral Theory in Inner Product Spaces and Applications

. They included the theory of generalized Nevanlinna and Schur functions, di?erential operators, singular perturbations, de Branges spaces;

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The Moment Problem

This advanced textbook provides a comprehensive and unified account of the moment problem. It covers the classical one-dimensional theory;

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Advanced Complex Analysis

to SLE), and Nevanlinna theory. The chapters on Fuschian differential equations and on asymptotic methods can be viewed as a minicourse on;

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Topics in Interpolation Theory

. Potapov. Several examples of interpolation problems of the Nevanlinna-Pick and Caratheodory-Fejer type are included as well as moment problems and;

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Transcendental Dynamics and Complex Analysis

Nevanlinna theory could be applied. His work has inspired many others to take up this increasingly active subject, and will continue to do so;

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P-adic Analytic Functions

meromorphic products. Finally, the p-adic Nevanlinna theory is widely explained, with various applications. Small functions are introduced with;

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The Painleve Handbook

: recent insights from Nevanlinna theory and analysis on both the cubic and quintic Ginzburg-Landau equations; a close look at physical problems;

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The Painleve Handbook

: recent insights from Nevanlinna theory and analysis on both the cubic and quintic Ginzburg-Landau equations; a close look at physical problems;

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Inversion Theory and Conformal Mapping

in higher dimensions. The exposition includes both an analytic proof, due to Nevanlinna, in general dimension and a differential geometric proof;

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Explorations in Complex Functions

chapter on entire functions opens pathways to the Riemann hypothesis and Nevanlinna theory. Cauchy transforms give rise to Hilbert and Fourier;

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Topics in Complex Analysis

ahead to reach some classical highlights (such as Fatou theorems and some Nevanlinna theory), as well as some more recent topics (for example;

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Advances in Ultrametric Analysis

-unital Banach rings, classes of non-Archimedean Koethe spaces, p -adic Nevanlinna theory and applications, and sub-coordinate representation of p;

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Lars Ahlfors - At the Summit of Mathematics

of Ernst Lindelof and Rolf Nevanlinna and later became a professor there. He left Finland permanently in 1944 and was professor and emeritus at;

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Convergence of Iterations for Linear Equations

Assume that after preconditioning we are given a fixed point problem x = Lx + f (*) where L is a bou;...

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Proceedings of the Fifth European Conference on Mathematics in Industry

was organised by the Rolf Nevanlinna Institute together with the Lahti Research and Training Centre of the University of Helsinki. Like its predecessors;

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Inequality Theory & Applications

This book examines new topics in the areas of fixed point theory, variational inequality and complementarity problem theory, non-linear;

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