Complex analysis, complex variables

The fields of algebraic functions of one variable appear in several areas of mathematics: complex analysis, algebraic geometry, and number theory.

Complex numbers can be viewed in several ways: as an element in a field, as a point in the plane, and as a two-dimensional vector.

This volume is dedicated to John Benedetto.

The study of CR manifolds lies at the intersection of three main mathematical disciplines, partial differential equations: complex analysis in several complex variables, and differential geometry.

This research monograph is a systematic exposition of the background, methods, and recent results in the theory of cycle spaces of ?

Dedicated to Anthony Joseph, this volume contains surveys and invited articles by leading specialists in representation theory.

The problem of asymptotic regulation of the output of a dynamical system plays a central role in control theory.

This book gives an elementary introduction to a classical area of mathemat- ics - approximation theory - in a way that naturally leads to the modern field of wavelets.

Complex variables is a precise, elegant, and captivating subject.

Lie Theory: Unitary Representations and Compactifications of Symmetric Spaces, a self-contained work by A.

Semisimple Lie groups, and their algebraic analogues over fields other than the reals, are of fundamental importance in geometry, analysis, and mathematical physics.

Differential geometry techniques have very useful and important applications in partial differential equations and quantum mechanics.

Developed in this book are several deep connections between time-frequency (Fourier/Gabor) analysis and time-scale (wavelet) analysis, emphasizing the powerful adaptive methods that emerge when separate techniques from each area are properly assembled in a larger context.

Carlos A.

This volume!

This monograph examines and develops the Global Smoothness Preservation Property (GSPP) and the Shape Preservation Property (SPP) in the field of interpolation of functions.

This volume provides readers with a detailed introduction to the amenability of Banach algebras and locally compact groups.

This book collects the proceedings of a series of conferences dedicated to birational geometry of Fano varieties held in Moscow, Shanghai and PohangThe conferences were focused on the following two related problems:*  existence of Kahler-Einstein metrics on Fano varieties*  degenerations of Fano varietieson which two famous conjectures were recently proved.

Over the course of a scientific career spanning more than fifty years, Alex Grossmann (1930-2019) made many important contributions to a wide range of areas including, among others, mathematics, numerical analysis, physics, genetics, and biology.

Over the course of a scientific career spanning more than fifty years, Alex Grossmann (1930-2019) made many important contributions to a wide range of areas including, among others, mathematics, numerical analysis, physics, genetics, and biology.

Monograph on most important topic in number theory.

The results in potential theory with respect to the Laplace–Beltrami operator D in several complex variables, with special emphasis on the unit ball in Cn.

The particular focus of the book is on the remarkable measure supported on the limit set of a discrete group that was first developed by S.

Potential theory is the broad area of mathematical analysis encompassing such topics as harmonic and subharmonic functions.

In honour of Noel Baker, a leading exponent of transcendental complex dynamics, this book describes the state of the art in this subject.

This study contains elementary introductions to properties of the Radon transform plus coverage of more advanced topics.

A unifying approach suitable for graduate students and mathematicians.

This introductory text on complex variable methods has been updated with even more examples and exercises.

An introduction to harmonic measure on plane domains and careful discussion of the work of Makarov, Carleson, Jones and others.

The main tools of involutive systems of complex vector fields together with the major results from last twenty five years.

Introduction to singularity theory based on MSc course taught by author; novel synthesis, with new results not found elsewhere.

A beginning graduate level treatment of elliptic functions with a huge array of examples, first published in 2006.

This book is an extensive introductory text to mathematical analysis for graduate students and advanced undergraduates, complete with 500 exercises and numerous examples.

This book presents a self-contained graduate-level introduction to the topic of L-functions.

This monograph is a bridge between the classical theory and modern approach via arithmetic geometry.

This book presents a complete proof of Connes'' Index Theorem generalized to foliated spaces, including coverage of new developments and applications.

This 2003 edition is ideal for use in undergraduate and introductory graduate level courses in complex variables.

This advanced monograph on finite Riemann surfaces, based on the authors' 1949-50 lectures at Princeton University, remains a fundamental book for graduate students.

A high-level treatment of complex analysis, this text focuses on function theory on a finitely connected planar domain.

"e;The book contains an enormous amount of information - mathematical, bibliographical and historical - interwoven with some outstanding heuristic discussions.

Conformal mapping is a field in which pure and applied mathematics are both involved.

"e;A thorough and easily accessible account.

Spatial data analysis is a fast growing area and Voronoi diagrams provide a means of naturally partitioning space into subregions to facilitate spatial data manipulation, modelling of spatial structures, pattern recognition and locational optimization.

Realism and Complexity in Social Science is an argument for a new approach to investigating the social world, that of complex realism.

Realism and Complexity in Social Science is an argument for a new approach to investigating the social world, that of complex realism.

Historically, for metric spaces the quest for universal spaces in dimension theory spanned approximately a century of mathematical research.

The tread of this book is formed by two fundamental principles of Harmonic Analysis: the Plancherel Formula and the Poisson S- mation Formula.

Number theory has a wealth of long-standing problems, the study of which over the years has led to major developments in many areas of mathematics.

This bookpresents fundamental material that should be part of the education of every practicing mathematician.