Complex analysis, complex variables

This is the fifth volume of the Handbook of Geometry and Topology of Singularities, a series which aims to provide an accessible account of the state-of-the-art of the subject, its frontiers, and its interactions with other areas of research.

This book provides an introduction into the modern theory of classical harmonic analysis, dealing with Fourier analysis and the most elementary singular integral operators, the Hilbert transform and Riesz transforms.

The goal of this textbook is to introduce and study automorphic representations, objects at the very core of the Langlands Program.

The goal of this textbook is to introduce and study automorphic representations, objects at the very core of the Langlands Program.

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

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

This book provides an introduction into the modern theory of classical harmonic analysis, dealing with Fourier analysis and the most elementary singular integral operators, the Hilbert transform and Riesz transforms.

During his long and distinguished career, J.

During his long and distinguished career, J.

Traditionally speaking, those who study the function theory of one complex variable spend little or no time thinking about several complex variables.

This third volume of Analysis in Banach Spaces offers a systematic treatment of Banach space-valued singular integrals, Fourier transforms, and function spaces.

New technological innovations and advances in research in areas such as spectroscopy, computer tomography, signal processing, and data analysis require a deep understanding of function approximation using Fourier methods.

This book may serve as a basis for students and teachers.

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.

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.

Today, the theory of complex-valued functions finds widespread applications in various areas of mathematical research, as well as in electrical and mechanical engineering, aeronautics, and other disciplines.

Today, the theory of complex-valued functions finds widespread applications in various areas of mathematical research, as well as in electrical and mechanical engineering, aeronautics, and other disciplines.

In this monograph, for elliptic systems with block structure in the upper half-space and t-independent coefficients, the authors settle the study of boundary value problems by proving compatible well-posedness of Dirichlet, regularity and Neumann problems in optimal ranges of exponents.

In this monograph, for elliptic systems with block structure in the upper half-space and t-independent coefficients, the authors settle the study of boundary value problems by proving compatible well-posedness of Dirichlet, regularity and Neumann problems in optimal ranges of exponents.

Despite the fundamental role played by Reshetnyak's work in the theory of surfaces of bounded integral curvature, the proofs of his results were only available in his original articles, written in Russian and often hard to find.

This book presents a machine-generated literature overview of quaternion integral transforms from select papers published by Springer Nature, which have been organized and introduced by the book's editor.

This book presents a machine-generated literature overview of quaternion integral transforms from select papers published by Springer Nature, which have been organized and introduced by the book's editor.

This book may serve as a basis for students and teachers.

This book offers an overview of selected topics on the topology of singularities, with emphasis on its relations to other branches of geometry and topology.

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 provides a detailed study of recent results in metric fixed point theory and presents several applications in nonlinear analysis, including matrix equations, integral equations and polynomial approximations.

Integrals and sums are not generally considered for evaluation using complex integration.

This textbook offers an introduction to abelian varieties, a rich topic of central importance to algebraic geometry.

The theory relating algebraic curves and Riemann surfaces exhibits the unity of mathematics: topology, complex analysis, algebra and geometry all interact in a deep way.

Companies are scrambling to integrate AI into their systems and operations.

Companies are scrambling to integrate AI into their systems and operations.

This book provides a modern perspective on the analytic structure of scattering amplitudes in quantum field theory, with the goal of understanding and exploiting consequences of unitarity, causality, and locality.

In this book, the authors discuss the Mellin-Barnes representation of complex multidimensional integrals.

This book collects papers related to the session "e;Harmonic Analysis and Partial Differential Equations"e; held at the 13th International ISAAC Congress in Ghent and provides an overview on recent trends and advances in the interplay between harmonic analysis and partial differential equations.

The guide that helps students study faster, learn better, and get top gradesMore than 40 million students have trusted Schaum's to help them study faster, learn better, and get top grades.

Mumford-Tate groups are the fundamental symmetry groups of Hodge theory, a subject which rests at the center of contemporary complex algebraic geometry.

This book is the second edition, whose original mission was to offer a new approach for students wishing to better understand the mathematical tenets that underlie the study of physics.

This edited volume presents state-of-the-art developments in various areas in which Harmonic Analysis is applied.

This introductory graduate level text provides a relatively quick path to a special topic in classical differential geometry: principal bundles.