This volume contains the proceedings of the 29th International Conference on Finite or Infinite Dimensional Complex Analysis and Applications, held August 21-25, 2023, at Pondicherry University, Puducherry, India. It covers a wide range of papers o...Loe edasi...
Traditionally speaking, those who study the function theory of one complex variable spend little or no time thinking about several complex variables. Conversely, experts in the function theory of several complex variables do not consider one complex...Loe edasi...
(Ilmumisaeg: 25-Apr-2025, Hardback, Kirjastus: Springer International Publishing AG, ISBN-13: 9783031649981)
This textbook has been designed to support the initial study of Complex Analysis, progressing to Complex Dynamics. It focuses on the fundamental aspects of one-variable complex functions, covering the geometric theory and dynamics of iterations of...Loe edasi...
This volume presents a collection of research articles arising from the conference on Convex and Complex: Perspectives on Positivity in Geometry, held in Cetraro, Italy, from October 31-November 4, 2022. The conference celebrated the 70th birthd...Loe edasi...
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. SCV, a central research area in mathematics, focuses on holomorph...Loe edasi...
(Ilmumisaeg: 02-Mar-2025, Paperback / softback, Kirjastus: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, ISBN-13: 9783662691144)
This textbook presents a direct path from real analysis of one variable to function theory. Classical topics of one-dimensional real analysis, such as differential and integral calculus, are largely presented from a complex perspective. The goal i...Loe edasi...
This book is about function spaces aspects of polyanalytic functions, a topic that has gained a lot of attention in the past decades. This book fills a gap in literature and is written by a leading researcher in the field.Rather than studyi...Loe edasi...
This textbook provides a second course in complex analysis with a focus on geometric aspects. It covers topics such as the spherical geometry of the extended complex plane, the hyperbolic geometry of the Poincaré disk, conformal mappings, the Rieman...Loe edasi...
The Cauchy Transform, Potential Theory and Conformal Mapping explores the most central result in all of classical function theory, the Cauchy integral formula, in a new and novel way based on an advance made by Kerzman and Stein i...Loe edasi...
This book demonstrates how to use functions of a complex variable to solve engineering problems that obey the 2D Laplace equation (and in some cases the 2D Poisson equation). The book is written with the engineer/physicist in mind and the majority...Loe edasi...
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. Complex analysis has become a basic cours...Loe edasi...
An accessible introduction to translation surfaces. Building on modest prerequisites, the authors focus on the fundamentals behind big ideas in the field: ergodic properties of translation flows, counting problems for saddle connections, and associa...Loe edasi...
(Ilmumisaeg: 31-Jul-2024, Hardback, Kirjastus: American Mathematical Society, ISBN-13: 9781470476557)
An accessible introduction to translation surfaces. Building on modest prerequisites, the authors focus on the fundamentals behind big ideas in the field: ergodic properties of translation flows, counting problems for saddle connections, and associa...Loe edasi...
This book provides a new, comprehensive, and self-contained account of Oka theory as an introduction to function theory of several complex variables, mainly concerned with the Three Big Problems (Approximation, Cousin, Pseudoconvexity) that were sol...Loe edasi...
More Explorations in Complex Functions is something of a sequel to GTM 287, Explorations in Complex Functions. The intended readership is the same, namely graduate students and researchers in complex analysis, independent readers, seminar attendees,...Loe edasi...
Contains the proceedings of the AMS Special Session on Recent Progress in Function Theory and Operator Theory, held virtually on April 6, 2022. The research papers in this volume deal with the interplay between function theory and operator theory an...Loe edasi...
A gentle introduction to the geometry of numbers from a modern Fourier-analytic point of view. One of the main themes is the transfer of geometric knowledge of a polytope to analytic knowledge of its Fourier transform. The Fourier transform preserve...Loe edasi...