Introduces the theory of higher-order elliptic boundary value problems. This book studies basic problems of the theory, such as the problem of existence and... Læs mere
Develops local and global duality theory in the special case of (possibly singular) algebraic varieties over algebraically closed base fields. This book describes duality and residue theorems in terms of Kahler differential forms and their residues.
Collects the articles that cover invariant differential operators, geometric properties of solutions to differential equations on symmetric spaces, double... Læs mere
Includes an analytic solution to the Busemann-Petty problem, which asks whether bodies with smaller areas of central hyperplane sections... Læs mere
Cauchy-Riemann (CR) geometry is the study of manifolds equipped with a system of CR-type equations. CR geometry has become an important topic in differential geometry... Læs mere
Since the discovery that Artin's braid groups enjoy a left-invariant linear ordering, several quite different approaches have been used to understand this phenomenon. This book is an... Læs mere
The Yangians and twisted Yangians are remarkable associative algebras taking their origins from the work of St Petersburg's school of mathematical physics in the... Læs mere
Studies the relationship between foliation theory and differential geometry and analysis on Cauchy-Riemann (CR) manifolds. This title proposes many open problems... Læs mere
Contains a comprehensive exposition of the Nevanlinna theory of meromorphic functions of one complex variable, with detailed study of deficiencies, value... Læs mere
Offers an introduction to the theory of frames in a Hilbert space. This book teaches linear algebra, using frames as an application of the theoretical concepts. It provides a... Læs mere
Intended for researchers interested in approximation theory and numerical methods for partial differential and integral equations, this book develops a different approach to... Læs mere
Intending to take his readers very much into his confidence: as he builds the theory, the author points out the alternative paths he might have taken, the alternative definitions he might... Læs mere