Complex analysis, complex variables

This book provides a detailed and largely self-contained description of various classical and new results on solvability and unsolvability of equations in explicit form.

The book contains a complete self-contained introduction to highlights of classical complex analysis.

Das Buch bietet eine vollständige Darstellung der Funktionentheorie, beginnend mit der Theorie der Riemann`schen Flächen einschließlich Uniformisierungstheorie sowie einer ausführlichen Darstellung der Theorie der kompakten Riemann`schen Flächen, Riemann-Roch`schem Satz, Abel`schem Theorem und Jacobi`schem Umkehrtheorem.

Das vorliegende Lehrprogrammbuch, das aus einem Darbietungs- und einem Übungsprogramm besteht, gibt eine Einführung in die Differential­ rechnung.

"e;A very simple but instructive problem was treated by Jacob Steiner, the famous representative of geometry at the University of Berlin in the early nineteenth century.

This book was planned as an introduction to a vast area, where many contri- butions have been made in recent years.

The aim of this book is to describe Calabi's original work on Kahler immersions of Kahler manifolds into complex space forms, to provide a detailed account of what is known today on the subject and to point out some open problems.

This monograph presents the first unified exposition of generalized multiresolution analyses.

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 volume presents a panorama of the diverse activities organized by V.

What is spectral action, how to compute it and what are the known examples?

Refection Positivity is a central theme at the crossroads of Lie group representations, euclidean and abstract harmonic analysis, constructive quantum field theory, and stochastic processes.

This text provides a comprehensive introduction to Berezin-Toeplitz operators on compact Kahler manifolds.

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

This volume presents research and expository papers highlighting the vibrant and fascinating study of irregularities in the distribution of primes.

This book presents an in-depth study on advances in constructive approximation theory with recent problems on linear positive operators.

Current research and applications in nonlinear analysis influenced by Haim Brezis and Louis Nirenberg are presented in this book by leading mathematicians.

This monograph examines rotation sets under the multiplication by d (mod 1) map and their relation to degree d polynomial maps of the complex plane.

This book surveys the foundations of the theory of slice regular functions over the quaternions, introduced in 2006, and gives an overview of its generalizations and applications.

This book proposes a semi-discrete version of the theory of Petitot and Citti-Sarti, leading to a left-invariant structure over the group SE(2,N), restricted to a finite number of rotations.

In the spring of 1976, George Andrews of Pennsylvania State University visited the library at Trinity College, Cambridge, to examine the papers of the late G.

This book presents exercises and problems in the mathematical methods of physics with the aim of offering undergraduate students an alternative way to explore and fully understand the mathematical notions on which modern physics is based.

Coherent states (CS) were originally introduced in 1926 by Schrodinger and rediscovered in the early 1960s in the context of laser physics.

This book is devoted to the study of certain integral representations for Neumann, Kapteyn, Schlomilch, Dini and Fourier series of Bessel and other special functions, such as Struve and von Lommel functions.

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 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.

The book serves as an introduction to holomorphic curves in symplectic manifolds, focusing on the case of four-dimensional symplectizations and symplectic cobordisms, and their applications to celestial mechanics.

The focus of this book is on open conformal dynamical systems corresponding to the escape of a point through an open Euclidean ball.

This book focuses on developments in complex dynamical systems and geometric function theory over the past decade, showing strong links with other areas of mathematics and the natural sciences.

This book presents a collection of carefully refereed research articles and lecture notes stemming from the Conference "e;Automorphic Forms and L-Functions"e;, held at the University of Heidelberg in 2016.

This new edition provides an updated and enhanced survey on employing wavelets analysis in an array of applications of speech processing.

This book studies diverse aspects of braid representations via knots and links.

The purpose of this monograph is two-fold: it introduces a conceptual language for the geometrical objects underlying Painleve equations, and it offers new results on a particular Painleve III equation of type PIII (D6), called PIII (0, 0, 4, -4), describing its relation to isomonodromic families of vector bundles on P1 with meromorphic connections.

This book is a short, but complete, introduction to the Loewner equation and the SLEs, which are a family of random fractal curves, as well as the relevant background in probability and complex analysis.

This book provides the latest competing research results on non-commutative harmonic analysis on homogeneous spaces with many applications.

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.

The central theme of this reference book is the metric geometry of complex analysis in several variables.

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.

Authored by a ranking authority in harmonic analysis of several complex variables, this book embodies a state-of-the-art entree at the intersection of two important fields of research:  complex analysis and harmonic analysis.

This contributed volume provides an extensive account of research and expository papers in a broad domain of mathematical analysis and its various applications to a multitude of fields.

This book arises from the INdAM Meeting "e;Complex and Symplectic Geometry"e;, which was held in Cortona in June 2016.

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

This book, now in a carefully revised second edition, provides an up-to-date account of Oka theory, including the classical Oka-Grauert theory and the wide array of applications to the geometry of Stein manifolds.

Exploring the Riemann Zeta Function: 190 years from Riemann's Birth presents a collection of chapters contributed by eminent experts devoted to the Riemann Zeta Function, its generalizations, and their various applications to several scientific disciplines, including Analytic Number Theory, Harmonic Analysis, Complex Analysis, Probability Theory, and related subjects.