This unique work combines four major topics of modern analysis and its applications: Hardy classes of... Læs mere
Topics include Columbeau algebras, ultra-distributions, partial differential equations, micro-local analysis, harmonic analysis, global analysis, geometry, quantization, mathematical physics, and time-frequency analysis.
Many issues of global importance reveal an urgent need for a new generation trained to understand the mathematics of complex systems. This... Læs mere
Describes a novel mathematical framework for solving problems in two-dimensional, multiply connected regions. The framework is built on a... Læs mere
This book contains a history of real and complex analysis in the nineteenth century, from the work of Lagrange and Fourier to the origins of set theory and the modern foundations of analysis.
Hodge theory originated as an application of harmonic theory to the study of the geometry of compact complex manifolds. This book consists of expositions of various aspects of modern Hodge theory.
This book studies solutions of the Polubarinova-Galin and Loewner-Kufarev equations, which describe the evolution of a viscous fluid (Hele-Shaw) blob, after the time when these solutions have lost their physical meaning due to loss of univalence of the mapping function involved.