Complex analysis, complex variables

The purpose of this book is to present the classical analytic function theory of several variables as a standard subject in a course of mathematics after learning the elementary materials (sets, general topology, algebra, one complex variable).

This text is an introduction to harmonic analysis on symmetric spaces, focusing on advanced topics such as higher rank spaces, positive definite matrix space and generalizations.

This volume presents a lively introduction to the rapidly developing and vast research areas surrounding Calabi-Yau varieties and string theory.

Nolan Wallach's mathematical research is remarkable in both its breadth and depth.

The purpose of the corona workshop was to consider the corona problem in both one and several complex variables, both in the context of function theory and harmonic analysis as well as the context of operator theory and functional analysis.

This text is aimed at graduate students in mathematics and to interested researchers who wish to acquire an in depth understanding of Euclidean Harmonic analysis.

The main goal of this text is to present the theoretical foundation of the field of Fourier analysis on Euclidean spaces.

This volume contains the first two out of four chapters which are intended to survey a large part of the theory of theta functions.

The theory of functional equations has been developed in a rapid and productive way in the second half of the Twentieth Century.

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In many situations in approximation theory the distribution of points in a given set is of interest.

For a given meromorphic function I(z) and an arbitrary value a, Nevanlinna's value distribution theory, which can be derived from the well known Poisson-Jensen for- mula, deals with relationships between the growth of the function and quantitative estimations of the roots of the equation: 1 (z) - a = O.

Analytic Extension is a mysteriously beautiful property of analytic functions.

This volume consists of papers presented in the special sessions on "e;Wave Phenomena and Related Topics"e;, and "e;Asymptotics and Homogenization"e; of the ISAAC'97 Congress held at the University of Delaware, during June 2-7, 1997.

The First International Congress of the International Society for Analysis, its Applications and Computations (ISAAC'97) was held at the University of Delaware from 3 to 7 June 1997.

This book represents the first attempt at a unified picture for the pres- ence of the Gibbs (or Gibbs-Wilbraham) phenomenon in applications, its analysis and the different methods of filtering it out.

This book is based on a first-year graduate course I gave three times at the University of Chicago.

This textbook is intended for a one semester course in complex analysis for upper level undergraduates in mathematics.

Refection Positivity is a central theme at the crossroads of Lie group representations, euclidean and abstract harmonic analysis, constructive quantum field theory, and stochastic processes.

The aim of this book is to give an understandable introduction to the the- ory of complex manifolds.

In order to ensure the criteria for monitoring and managing the various problems and design for decision control, a mathematical description of exact human knowledge is required for the management of adaptive and complex systems.

Spectral Techniques in VLSI CAD have become a subject of renewed interest in the design automation community due to the emergence of new and efficient methods for the computation of discrete function spectra.

This book provides a complete and exhaustive study of the Green's functions.

Computational Techniques for the Summation of Series is a text on the representation of series in closed form.

This unique text is an introduction to harmonic analysis on the simplest symmetric spaces, namely Euclidean space, the sphere, and the Poincare upper half plane.

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This monograph deals with the quantitative overconvergence phenomenon in complex approximation by various operators.

The approximation of functions by linear positive operators is an important research topic in general mathematics and it also provides powerful tools to application areas such as computer-aided geometric design, numerical analysis, and solutions of differential equations.

Originally published in 1999, Wavelets Made Easy offers a lucid and concise explanation of mathematical wavelets.

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Understanding special sets of integers was classically of interest to Hadamard, Zygmund and others, and continues to be of interest today.

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Recent Advances in Harmonic Analysis and Applications features selected contributions from the AMS conference which took place at Georgia Southern University, Statesboro in 2011 in honor of Professor Konstantin Oskolkov's 65th birthday.

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This book is devoted to the Beltrami equations that play a significant role in Geometry, Analysis and Physics and, in particular, in the study of quasiconformal mappings and their generalizations, Riemann surfaces, Kleinian groups, Teichmuller spaces, Clifford analysis, meromorphic functions, low dimensional topology, holomorphic motions, complex dynamics, potential theory, electrostatics, magnetostatics, hydrodynamics and magneto-hydrodynamics.

This is a relatively fast paced graduate level introduction to complex algebraic geometry, from the basics to the frontier of the subject.

This textbook introduces the subject of complex analysis to advanced undergraduate and graduate students in a clear and concise manner.

This volume is a collection of manscripts mainly originating from talks and lectures given at the Workshop on Recent Trends in Complex Methods for Par- tial Differential Equations held from July 6 to 10, 1998 at the Middle East Technical University in Ankara, Turkey, sponsored by The Scientific and Tech- nical Research Council of Turkey and the Middle East Technical University.

This volume of the Proceedings of the congress ISAAC '97 collects the con- tributions of the four sections 1.

This volume consists of papers presented in the special sessions on "e;Complex and Numerical Analysis"e;, "e;Value Distribution Theory and Complex Domains"e;, and "e;Use of Symbolic Computation in Mathematics Education"e; of the ISAAC'97 Congress held at the University of Delaware, during June 2-7, 1997.

There is almost no field in Mathematics which does not use Mathe- matical Analysis.

This book is the Proceedings of the Second ISAAC Congress.