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In this book the author illustrates the power of the theory of subcartesian differential spaces for investigating spaces with... Læs mere
Presents a complete proof of Connes' Index Theorem generalized to foliated spaces, alongside the necessary background from analysis, geometry, and topology. It thus... Læs mere
Spline functions are universally recognized as highly effective tools in approximation theory, computer-aided geometric design, image analysis, and numerical analysis.... Læs mere
The study of singularities uses techniques from algebra, algebraic geometry, complex analysis and topology. This book introduces graduate students to this attractive area... Læs mere
Introduces recent and advanced techniques in the area of Analytic and Algebraic Geometry. This volume explores recent developments in the area, and is aimed at young... Læs mere
The hypoelliptic Laplacian is a family of operators that is supposed to interpolate between the ordinary Laplacian and the geodesic flow. This book... Læs mere
Presents the analytic foundations to the theory of the hypoelliptic Laplacian. This book shows that the hypoelliptic Laplacian provides a... Læs mere
Among the many differences between classical and p-adic objects, those related to differential equations occupy a special place. This book aims... Læs mere
Over the field of real numbers, analytic geometry has long been in deep interaction with algebraic geometry, bringing the latter subject... Læs mere