Complex analysis, complex variables

This book presents a new and original method for the solution of boundary value problems in angles for second-order elliptic equations with constant coefficients and arbitrary boundary operators.

In two volumes, this comprehensive treatment covers all that is needed to understand and appreciate this beautiful branch of mathematics.

The focus of this book is on the further development of the classical achievements in analysis of several complex variables, the analytic continuation and the analytic structure of sets, to settings in which the  q-pseudoconvexity in the sense of Rothstein and the q-convexity in the sense of Grauert play a crucial role.

This monograph contains an exposition of the theory of minimal surfaces in Euclidean space, with an emphasis on complete minimal surfaces of finite total curvature.

This book centers on normal families of holomorphic and meromorphic functions and also normal functions.

This book presents applications of hypercomplex analysis to boundary value and initial-boundary value problems from various areas of mathematical physics.

This book gathers peer-reviewed contributions representing modern trends in the theory of generalized functions and pseudo-differential operators.

Harmonic Analysis in China is a collection of surveys and research papers written by distinguished Chinese mathematicians from within the People's Republic of China and expatriates.

The last thirty years were a period of continuous and intense growth in the subject of dynamical systems.

This book features a collection of recent findings in Applied Real and Complex Analysis that were presented at the 3rd International Conference "e;Boundary Value Problems, Functional Equations and Applications"e; (BAF-3), held in Rzeszow, Poland on 20-23 April 2016.

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

This book presents a new and original method for the solution of boundary value problems in angles for second-order elliptic equations with constant coefficients and arbitrary boundary operators.

Moment Theory is not a new subject; however, in classical treatments, the ill-posedness of the problem is not taken into account - hence this monograph.

The Applied and Numerical Harmonic Analysis (ANHA) book series aims to provide the engineering, mathematical, and scienti?

This textbook provides an accessible introduction to the rich and beautiful area of hyperplane arrangement theory, where discrete mathematics, in the form of combinatorics and arithmetic, meets continuous mathematics, in the form of the topology and Hodge theory of complex algebraic varieties.

This book provides a systematic exposition of the basic ideas and results of wavelet analysis suitable for mathematicians, scientists, and engineers alike.

Este libro está dirigido a estudiantes con distinta preparación, o que les une un interés común en el Análisis complejo, por las aplicaciones que tiene.

This book develops a spectral theory for the integrable system of 2-dimensional, simply periodic, complex-valued solutions u of the sinh-Gordon equation.

The aim of this monograph is to give a detailed exposition of the summation method that Ramanujan uses in Chapter VI of his second Notebook.

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

This book provides a detailed introduction to recent developments in the theory of linear differential systems and integrable total differential systems.

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.

A new edition of a classic textbook on complex analysis with an emphasis on translating visual intuition to rigorous proof.

This volume presents in a unified manner both classic as well as modern research results devoted to trigonometric sums.

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This book provides an introduction to complex analysis in several variables.

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

This volume consists of ten articles which provide an in-depth and reader-friendly survey of some of the foundational aspects of singularity theory.

This book exploits the classification of a class of linear bounded operators with rank-one self-commutators in terms of their spectral parameter, known as the principal function.

Carlos A.

New interest in modular forms of one complex variable has been caused chiefly by the work of Selberg and of Eichler.

Based on a streamlined presentation of the author's previous work, An Introduction to Frames and Riesz Bases, this new textbook fills a gap in the literature, developing frame theory as part of a dialogue between mathematicians and engineers.

Over the course of his distinguished career, Robert Strichartz (1943-2021) had a substantial impact on the field of analysis with his deep, original results in classical harmonic, functional, and spectral analysis, and in the newly developed analysis on fractals.

This book provides comprehensive information on the conceptual basis of wavelet theory and it applications.

The Yau-Tian-Donaldson conjecture for anti-canonical polarization was recently solved affirmatively by Chen-Donaldson-Sun and Tian.

This book offers a unified presentation of Fourier theory and corresponding algorithms emerging from new developments in function approximation using Fourier methods.

An introduction to Griffiths'' theory of period maps and domains, focused on algebraic, group-theoretic and differential geometric aspects.

This textbook provides a coherent, integrated look at various topics from undergraduate analysis.

A two-volume advanced text for graduate students.

An arrangement of hyperplanes is a finite collection ofcodimension one affine subspaces in a finite dimensionalvector space.

Based on a graduate course given by the author at Yale University this book deals with complex analysis (analytic capacity), geometric measure theory (rectifiable and uniformly rectifiable sets) and harmonic analysis (boundedness of singular integral operators on Ahlfors-regular sets).

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

This volume is based on four advanced courses held at the Centre de Recerca Matematica (CRM), Barcelona.

This book collects a series of important works on noncommutative harmonic analysis on homogeneous spaces and related topics.

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.

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

This book discusses the theory of wavelets on local fields of positive characteristic.