Complex analysis, complex variables

The first modern treatment of orthogonal polynomials from the viewpoint of special functions is now available in paperback.

This book is an outgrowth of the Workshop on "e;Regulators in Analysis, Geom- etry and Number Theory"e; held at the Edmund Landau Center for Research in Mathematical Analysis of The Hebrew University of Jerusalem in 1996.

This volume convenes selected, peer-reviewed papers presented at the international workshop dedicated to Dr.

Increasingly important in the field of communications, the study of time and band limiting is crucial for the modeling and analysis of multiband signals.

The real-variable theory of function spaces has always been at the core of harmonic analysis.

An elementary account of the theory of compact Riemann surfaces and an introduction to the Belyi–Grothendieck theory of dessins d''enfants.

The 2-volume book is an updated, reorganized and considerably enlarged version of the previous edition of the Research Problem Book in Analysis (LNM 1043), a collection familiar to many analysts, that has sparked off much research.

A comprehensive introduction to the theory and applications of complex network science, complete with real-world data sets and software tools.

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

This book focuses on a conjectural class of zeta integrals which arose from a program born in the work of Braverman and Kazhdan around the year 2000, the eventual goal being to prove the analytic continuation and functional equation of automorphic L-functions.

A careful and accessible exposition of functional analytic methods in stochastic analysis is provided in this book.

This book provides a concise survey of the theory of zero product-determined algebras, which has been developed over the last 15 years.

A friendly introduction to Toeplitz theory and its applications throughout modern functional analysis.

This book is related to the theory of functions of a-bounded type in the ha- plane of the complex plane.

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

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

This work contributes to the study of quaternionic linear operators.

This book is a continuation of vol.

The present book is meant as a text for a course on complex analysis at the advanced undergraduate level, or first-year graduate level.

This is the revised second edition of the well-received book by the first two authors.

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 gives a comprehensive introduction to complex analysis in several variables.

This work examines a rich tapestry of themes and concepts and provides a comprehensive treatment of an important area of mathematics, while simultaneously covering a broader area of the geometry of domains in complex space.

The theory of General Relativity, after its invention by Albert Einstein, remained for many years a monument of mathemati- cal speculation, striking in its ambition and its formal beauty, but quite separated from the main stream of modern Physics, which had centered, after the early twenties, on quantum mechanics and its applications.

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.

The focus program on Analytic Function Spaces and their Applications took place at Fields Institute from July 1st to December 31st, 2021.

This award-winning monograph explores advanced topics in harmonic analysis, addressing both classical and contemporary problems.

We study the boundary behaviour of a conformal map of the unit disk onto an arbitrary simply connected plane domain.

This book is devoted to an exposition of the theory of polynomially convex sets.

The KSCV Symposium, the Korean Conference on Several Complex Variables, started in 1997 in an effort to promote the study of complex analysis and geometry.

The burgeoning field of data analysis is expanding at an incredible pace due to the proliferation of data collection in almost every area of science.

A mathematically rigorous introduction to fractals, emphasizing examples and fundamental ideas while minimizing technicalities.

This monograph establishes a theory of classification and translation closedness of time scales, a topic that was first studied by S.

This proceedings volume collects selected papers presented at the Harmonic Analysis and Applications Workshop held in Abidjan, Cote d'Ivoire from May 22-26, 2023.

I - Entire functions of several complex variables constitute an important and original chapter in complex analysis.

In order to study discrete Abelian groups with wide range applications, the use of classical functional equations, difference and differential equations, polynomial ideals, digital filtering and polynomial hypergroups is required.

This volume is part of the collaboration agreement between Springer and the ISAAC society.

Quaternionic and Clifford analysis are an extension of complex analysis into higher dimensions.

This book gathers nineteen papers presented at the first NLAGA-BIRS Symposium, which was held at the Cheikh Anta Diop University in Dakar, Senegal, on June 24-28, 2019.

This book describes recent developments as well as some classical results regarding holomorphic mappings.

A revised and updated edition, providing hundreds of exercises to help students gradually transition from school to university-level calculus.

This monograph develops a theory of continuous and differentiable functions, called monogenic functions, in the sense of Gateaux functions taking values in some vector spaces with commutative multiplication.

A two-volume advanced text for graduate students.

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