Complex analysis, complex variables

Provides an accessible introduction to computational complexity analysis and its application to questions of intractability in cognitive science.

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The idea of this book originated in the works presented at the First Latinamerican Conference on Mathematics in Industry and Medicine, held in Buenos Aires, Argentina, from November 27 to December 1, 1995.

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

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

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.

This book, intended to commemorate the work of Paul Dirac, highlights new developments in the main directions of Clifford analysis.

This book introduces the theory of complex surfaces through a comprehensive look at finite covers of the projective plane branched along line arrangements.

This book gives a systematic presentation of real algebraic varieties.

Two distinct systems of hypercomplex numbers in n dimensions are introduced in this book, for which the multiplication is associative and commutative, and which are rich enough in properties such that exponential and trigonometric forms exist and the concepts of analytic n-complex function, contour integration and residue can be defined.

It is a pleasure and a privilege to write this new edition of A Primer 0/ Real Ana- lytic Functions.

From a historical point of view, the theory we submit to the present study has its origins in the famous dissertation of P.

Mathematics of Networks: Modulus Theory and Convex Optimization explores the question: "e;What can be learned by adapting the theory of p-modulus (and related continuum analysis concepts) to discrete graphs?

Functions of bounded variation represent an important class of functions.

This book contains both expository articles and original research in the areas of function theory and operator theory.

The present volume gathers contributions to the conference Microlocal and Time-Frequency Analysis 2018 (MLTFA18), which was held at Torino University from the 2nd to the 6th of July 2018.

Carlos A.

The third volume of three providing a full and detailed account of undergraduate mathematical analysis.

Several natural Lp spaces of analytic functions have been widely studied in the past few decades, including Hardy spaces, Bergman spaces, and Fock spaces.

A comprehensive graduate-level introduction to classical and contemporary aspects of special functions.

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.

In recent years there has been increasing interaction among various branches of mathematics.

A conference on Harmonic Analysis on Reductive Groups was held at Bowdoin College in Brunswick, Maine from July 31 to August 11, 1989.

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

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.

This contemporary graduate-level text in harmonic analysis introduces the reader to a wide array of analytical results and techniques.

The third volume of three providing a full and detailed account of undergraduate mathematical analysis.

John J.

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.

Current and historical research methods in approximation theory are presented in this book beginning with the 1800s and following the evolution of approximation theory via the refinement and extension of classical methods and ending with recent techniques and methodologies.

This is a brief textbook on complex analysis intended for the students of upper undergraduate or beginning graduate level.

A detailed monograph exploring how operator theory interacts with function theory in one and several variables.

Complex analysis is a classic and central area of mathematics, which is studies and exploited in a range of important fields, from number theory to engineering.

This book introduces complex analysis and is appropriate for a first course in the subject at typically the third-year University level.

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This text takes advantage of recent developments in the theory of path integration to provide an improved treatment of quantization of systems that either have no constraints or instead involve constraints with demonstratively improved procedures.

Far from being separate entities, many social and engineering systems can be considered as complex network systems (CNSs) associated with closely linked interactions with neighbouring entities such as the Internet and power grids.

Most topics dealt with here deal with complex analysis of both one and several complex variables.

A complete introduction to recent advances in preprocessing analysis, or kernelization, with extensive examples using a single data set.

The first systematic account of the Dirichlet space, one of the most fundamental Hilbert spaces of analytic functions.

This book offers a concise yet thorough introduction to the notion of moduli spaces of complex algebraic curves.

This is a book comprising selected papers of colleagues and friends of Heinrich Begehr on the occasion of his 80th birthday.

This second volume of two presents analytic equivalents to the Riemann hypothesis.

Banach spaces and algebras are a key topic of pure mathematics.

This monograph introduces a novel and effective approach to counting lattice paths by using the discrete Fourier transform (DFT) as a type of periodic generating function.

This monograph offers the first systematic treatment of the theory of minimal surfaces in Euclidean spaces by complex analytic methods, many of which have been developed in recent decades as part of the theory of Oka manifolds (the h-principle in complex analysis).