birkhäuser basel birkhäuser basel mär 2005 (3 résultats)

Buch. Etat : Neu. Neuware -Award-winning monograph of the Ferran Sunyer i Balaguer Prize 2004.This book studies regularity properties of Mumford-Shah minimizers. The Mumford-Shah functional was introduced in the 1980s as a tool for automatic image segmentation, but its study gave rise to many interesting questions of analysis and geometric measure theory. The main object under scrutiny is a free boundary K where the minimizer may have jumps. The book presents an extensive description of the known regularity properties of the singular sets K, and the techniques to get them. Some time is spent on the C^1 regularity theorem (with an essentially unpublished proof in dimension 2), but a good part of the book is devoted to applications of A. Bonnet's monotonicity and blow-up techniques. In particular, global minimizers in the plane are studied in full detail.The book is largely self-contained and should be accessible to graduate students in analysis.The core of the book is composed of regularity results that were proved in the last ten years and which are presented in a more detailed and unified way.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 604 pp. Englisch.

Buch. Etat : Neu. Neuware -Operator theory, system theory, scattering theory, and the theory of analytic functions of one complex variable are deeply related topics, and the relationships between these theories are well understood. When one leaves the setting of one operator and considers several operators, the situation is much more involved. There is no longer a single underlying theory, but rather different theories, some of them loosely connected and some not connected at all. These various theories, which one could call 'multidimensional operator theory', are topics of active and intensive research.The present volume contains a selection of papers in multidimensional operator theory. Topics considered include the non-commutative case, function theory in the polydisk, hyponormal operators, hyperanalytic functions, and holomorphic deformations of linear differential equations.The volume will be of interest to a wide audience of pure and applied mathematicians, electrical engineers and theoreticalphysicists.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 332 pp. Englisch.

Buch. Etat : Neu. Neuware -Regulatory T-cells are essential components of the immune system, and several different subsets of regulatory T-cells have been described. Considerable regulatory function has been attributed to the CD4+CD25+ T-cell subset. These cells act by suppressing adaptive and possibly innate immune responses thereby maintaining or restoring the balance between immunity and tolerance. The suppressive effects of CD4+CD25+ regulatory T-cells are cell-contact dependent.Recent developments and viewpoints in the field of CD4+CD25+ regulatory T-cells as well as the potential use of regulatory T-cells in immunotherapy of inflammatory diseases are discussed in this volume. By linking data from experimental models with recent findings from the clinic, this book will be of interest to immunologists and other biomedical researchers as well as clinicians interested in the regulation and manipulation of the immune response during inflammatory disease.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 256 pp. Englisch.