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This book presents the extensions to the quaternionic setting of some of the main approximation results in complex analysis. It also includes the main...Savoir plus
This research monograph develops the theory of relative nonhomogeneous Koszul duality. Koszul duality is a fundamental phenomenon in homological algeb...Savoir plus
This book is devoted to finite volume methods for hyperbolic systems of conservation laws. The accent is put on the development of tools for analyzing...Savoir plus
Pseudoanalytic function theory generalizes and preserves many crucial features of complex analytic function theory. The Cauchy-Riemann system is repla...Savoir plus
Since the second half of the 20th century, the Riemannian and semi-Riemannian geometries have been active areas of research in di?erential geometry an...Savoir plus
This book documents the rich structure of the holomorphic Q function spaces which are geometric in the sense that they transform naturally under confo...Savoir plus
This monograph proposes a unified theory of the calculus of fractional and standard derivatives by means of an abstract operator-theoretic approach. B...Savoir plus
Dedicated to the Russian mathematician Albert Shiryaev on his 70 th birthday, this is a collection of papers written by his former students, co-author...Savoir plus
This book focuses on the interplay between Eulerian and Lagrangian conservation laws for systems that admit physical motivation and originate from con...Savoir plus
This book provides an introduction to the most recent developments in the theory and practice of direct and inverse Sturm-Liouville problems on finite...Savoir plus
Part I: Abstract Theory.- Gromov-Hausdorff distances.- Stability.- Continuity of Shift Operator.- Shadowing from Gromov-Hausdorff Viewpoint.- Part II:...Savoir plus
This book deals with numerical analysis for certain classes of additive operators and related equations, including singular integral operators with co...Savoir plus
This book discusses the process by which Ulam's conjecture is proved, aptly detailing how mathematical problems may be solved by systematically combi...Savoir plus
This book gives an introduction to the field of Incidence Geometry by discussing the basic families of point-line geometries and introducing some of t...Savoir plus
The book collects and contributes new results on the theory and practice of ill-posed inverse problems. Different notions of ill-posedness in Banach...Savoir plus
Harmonic maps between Riemannian manifolds were first established by James Eells and Joseph H. Sampson in 1964. Wave maps are harmonic maps on Minkows...Savoir plus
This monograph explores the problem of boundary regularity and analytic continuation of holomorphic mappings between domains in complex Euclidean spac...Savoir plus
Hyperbolic numbers are proposed for a rigorous geometric formalization of the space-time symmetry of two-dimensional Special Relativity. The system of...Savoir plus
This book provides a modern and comprehensive presentation of a wide variety of problems arising in nonlinear analysis, game theory, engineering, math...Savoir plus
The aim of the present book is a uni?ed representation of some recent results in geometric function theory together with a consideration of their hist...Savoir plus
This monograph studies the heat kernel for the spin-tensor Laplacians on Lie groups and maximally symmetric spaces. It introduces many original ideas,...Savoir plus
Regular rings were originally introduced by John von Neumann to clarify aspects of operator algebras ([33], [34], [9]). A continuous geometry is an in...Savoir plus
This book highlights important developments on artinian modules over group rings of generalized nilpotent groups. Along with traditional topics such a...Savoir plus
This book presents a concise introduction to a unified Hilbert space approach to the mathematical modelling of physical phenomena which has been deve...Savoir plus