Complex analysis, complex variables

Pluripotential theory is a very powerful tool in geometry, complex analysis and dynamics.

The theory of holomorphic dynamical systems is a subject of increasing interest in mathematics, both for its challenging problems and for its connections with other branches of pure and applied mathematics.

This monograph presents state-of-the-art results at the intersection of Harmonic Analysis, Functional Analysis, Geometric Measure Theory, and Partial Differential Equations, providing tools for treating elliptic boundary value problems for systems of PDE’s in rough domains.

Over the course of his distinguished career, Edward Saff has made a number of groundbreaking contributions in the fields of approximation theory, potential theory, and complex analysis.

This book discusses topics on the Fourier transform, Hankel transform, Weinstein transform, and pseudo-differential operators.

This book discusses topics on the Fourier transform, Hankel transform, Weinstein transform, and pseudo-differential operators.

Over the course of his distinguished career, Edward Saff has made a number of groundbreaking contributions in the fields of approximation theory, potential theory, and complex analysis.

This book is the third in a series of books dedicated to publishing extended abstracts of the activities of ICMAM Latin America (International Community of Mathematicians from Latin America).

This textbook is intended for an introductory course in the theory of complex analysis and Riemann surfaces.

This book is the third in a series of books dedicated to publishing extended abstracts of the activities of ICMAM Latin America (International Community of Mathematicians from Latin America).

This monograph presents the theory of the Mellin transform and the resulting Mellin analysis in a rigorous and unified manner.

This monograph presents the theory of the Mellin transform and the resulting Mellin analysis in a rigorous and unified manner.

This textbook is intended for an introductory course in the theory of complex analysis and Riemann surfaces.

This book presents the proceedings of the Minisymposium “Various Methods for the Analysis of PDEs” held at the International Congress on Industrial and Applied Mathematics (ICIAM) 2023.

This book presents the proceedings of the Minisymposium “Various Methods for the Analysis of PDEs” held at the International Congress on Industrial and Applied Mathematics (ICIAM) 2023.

This is the fifth conference in a bi-annual series, following conferences in Besancon, Limoges, Irsee and Toronto.

Based on presentations given at the NordForsk Network Closing Conference "e;Operator Algebra and Dynamics,"e; held in Gjaargar ur, Faroe Islands, in May 2012, this book features high quality research contributions and review articles by researchers associated with the NordForsk network and leading experts that explore the fundamental role of operator algebras and dynamical systems in mathematics with possible applications to physics, engineering and computer science.

This volume contains the Proceedings of the conference "e;Complex and Differential Geometry 2009"e;, held at Leibniz Universitat Hannover, September 14 - 18, 2009.

Helmholtz's seminal paper on vortex motion (1858) marks the beginning of what is now called topological fluid mechanics.

This volume contains a re-edition of Max Koecher's famous Minnesota Notes.

The present volume collects extended abstracts of lectures and talks presented at the Summer School and Conference "e;Analysis, PDEs and Applications"e; held 24 June - 6 July 2024 at Yerevan State University, Armenia.

This book highlights the use of non-compact analytic cycles in complex geometry.

This book highlights the use of non-compact analytic cycles in complex geometry.

The present volume collects extended abstracts of lectures and talks presented at the Summer School and Conference "e;Analysis, PDEs and Applications"e; held 24 June - 6 July 2024 at Yerevan State University, Armenia.

This book offers a comprehensive exploration of the Banach contraction principle and its many facets.

This book offers a comprehensive exploration of the Banach contraction principle and its many facets.

This book presents a concise introduction to real and complex number systems and metric space theory.

This book presents a concise introduction to real and complex number systems and metric space theory.

This book contains a collection of short papers based on the presentations given at the international conference on Hypercomplex Analysis and its Applications celebrating Paula Cerejeiras’ 60th birthday.

This book contains a collection of short papers based on the presentations given at the international conference on Hypercomplex Analysis and its Applications celebrating Paula Cerejeiras’ 60th birthday.

This textbook has been designed to support the initial study of Complex Analysis, progressing to Complex Dynamics.

This textbook has been designed to support the initial study of Complex Analysis, progressing to Complex Dynamics.

A groundbreaking theory has emerged for spectral analysis of pseudo-Riemannian locally symmetric spaces, extending beyond the traditional Riemannian framework.

This book, consisting of two volumes, gives a contemporary account of the study of the class of projective algebraic surfaces known as Enriques surfaces.

This book, consisting of two volumes, gives a contemporary account of the study of the class of projective algebraic surfaces known as Enriques surfaces.

This comprehensive book explores the intricate realm of fine potential theory.

This book presents the monodromy group, underlining the unifying role it plays in a variety of theories and mathematical areas.

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

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

This volume contains the contributions of the participants of the 14th ISAAC congress, held at the University of Sao Paulo, Campus Ribeirao Preto, Brazil, on July 17-21, 2023.

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, the second of 15 related monographs, presents systematically a theory of cubic nonlinear systems with single-variable vector fields.

This book, the second of 15 related monographs, presents systematically a theory of cubic nonlinear systems with single-variable vector fields.

This proceedings volume collects selected papers presented at the Harmonic Analysis and Applications Workshop held in Abidjan, Cote d'Ivoire from May 22-26, 2023.

This proceedings volume collects selected papers presented at the Harmonic Analysis and Applications Workshop held in Abidjan, Cote d'Ivoire from May 22-26, 2023.

This textbook provides a second course in complex analysis with a focus on geometric aspects.

This textbook provides a second course in complex analysis with a focus on geometric aspects.

This book studies the relation between conformal invariants and dynamical invariants and their applications, taking the reader on an excursion through a wide range of topics.