Complex analysis, complex variables

Collecting together the lecture notes of the CIME Summer School held in Cetraro in July 2018, the aim of the book is to introduce a vast range of techniques which are useful in the investigation of complex manifolds.

The book collects the most relevant outcomes from the INdAM Workshop "e;Geometric Function Theory in Higher Dimension"e; held in Cortona on September 5-9, 2016.

In spite of being nearly 500 years old, the subject of complex analysis is still today a vital and active part of mathematics.

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

This book gives a comprehensive introduction to those parts of the theory of elliptic integrals and elliptic functions which provide illuminating examples in complex analysis, but which are not often covered in regular university courses.

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

The aim of this monograph is to introduce the reader to modern methods of projective geometry involving certain techniques of formal geometry.

Representations, Wavelets, and Frames contains chapters pertaining to this theme from experts and expositors of renown in mathematical analysis and representation theory.

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

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This volume consists of a collection of articles for the proceedings of the 40th Taniguchi Symposium Analysis and Geometry in Several Complex Variables held in Katata, Japan, on June 23-28, 1997.

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

The aim of this book is to provide a comprehensive account of higher dimensional Nevanlinna theory and its relations with Diophantine approximation theory for graduate students and interested researchers.

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This volume brings together recent, original research and survey articles by leading experts in several fields that include singularity theory, algebraic geometry and commutative algebra.

This concise text clearly presents the material needed for year-long analysis courses for advanced undergraduates or beginning graduates.

This book is intended as a continuation of my book "e;Parametrix Method in the Theory of Differential Complexes"e; (see [291]).

This book presents and details the process of quantization of a classical mechanical system in a relevant physical system, the harmonic oscillator.

This volume presents a collection of research papers and survey articles by participants from two significant conferences on several complex variables (SCV) held at POSTECH in 2022.

This book explains the foundations of holomorphic curve theory in contact geometry.

This workshop brought together specialists in complex analysis, differential geometry, mathematical physics and applications for stimulating cross-disciplinary discussions.

First works related to the topics covered in this book belong to J.

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

The primary focus of this workshop concerns the interplay between the rich variety of structures and infinitesimal methods.

The book collects the most relevant outcomes from the INdAM Workshop "e;Geometric Function Theory in Higher Dimension"e; held in Cortona on September 5-9, 2016.

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.

This book provides the foundations for a rigorous theory of functional analysis with bicomplex scalars.

Introduction to Riemann surfaces for graduates and researchers, giving refreshingly new insights into the subject.

This book provides the reader with a broad introduction to the geometric methodology in complex analysis.

This book presents a collection of papers from the 10th ISAAC Congress 2015, held in Macau, China.

This book presents the extensions to the quaternionic setting of some of the main approximation results in complex analysis.

Your government warns that 10% of your neighbors have a deadly contagious virus.

This Second Edition presents and details the process of quantization of a classical mechanical system in a relevant physical system, the harmonic oscillator.

This volume is an outcome of the workshop "e;Moduli of K-stable Varieties"e;, which was held in Rome, Italy in 2017.

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.

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

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

Dirac operators play an important role in several domains of mathematics and physics, for example: index theory, elliptic pseudodifferential operators, electromagnetism, particle physics, and the representation theory of Lie groups.

This volume is a selection of written notes corresponding to courses taught at the CIMPA School: "e;New Trends in Applied Harmonic Analysis:Sparse Representations, Compressed Sensing and Multifractal Analysis"e;.

This book presents a number of important contributions focusing on harmonic analysis and representation theory of Lie groups.

This book gathers contributions written by Daniel Alpay's friends and collaborators.

The conjugate operator method is a powerful recently developed technique for studying spectral properties of self-adjoint operators.

Uncertainty is an inseparable component of almost every measurement and occurrence when dealing with real-world problems.

The first formulations of linear boundary value problems for analytic functions were due to Riemann (1857).

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

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.

The scope of this book is the field of evolutionary genetics.

This monograph deals with the quantitative overconvergence phenomenon in complex approximation by various operators.

Technological advancements in computing have changed how data is leveraged by businesses to develop, grow, and innovate.