Methods of Geometric Analysis in Extension and Trace Problems

Yuri Brudnyi Technion R&D Foundation Ltd

ISBN 10: 3034802080 / ISBN 13: 9783034802086

Edité par Springer Basel, Springer Basel Okt 2011, 2011

A propos de cet article

Neuware -The book presents a comprehensive exposition of extension results for maps between different geometric objects and of extension-trace results for smooth functions on subsets with no a priori differential structure (Whitney problems). The account covers development of the area from the initial classical works of the first half of the 20th century to the flourishing period of the last decade. Seemingly very specific these problems have been from the very beginning a powerful source of ideas, concepts and methods that essentially influenced and in some cases even transformed considerable areas of analysis. Aside from the material linked by the aforementioned problems the book also is unified by geometric analysis approach used in the proofs of basic results. This requires a variety of geometric tools from convex and combinatorial geometry to geometry of metric space theory to Riemannian and coarse geometry and more. The necessary facts are presented mostly with detailed proofs to make thebook accessible to a wide audience.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 588 pp. Englisch.

N° de réf. du vendeur 9783034802086

Détails bibliographiques

• Titre: Methods of Geometric Analysis in Extension and Trace Problems
• Éditeur: Springer Basel, Springer Basel Okt 2011
• Date de parution: 2011
• Langue: anglais
• ISBN à 10 chiffres: 3034802080
• ISBN à 13 chiffres: 9783034802086
• Reliure: Buch
• État de l'article: Neu
• Dimensions: 241 L x 160 H x 37 P (en millimètres) 241 millimètres de largeur par 160 millimètres de hauteur par 37 millimètres de profondeur
• Poids: 1039 grammes

A propos de ce titre

Synopsis

The book presents a comprehensive exposition of extension results for maps between different geometric objects and of extension-trace results for smooth functions on subsets with no a priori differential structure (Whitney problems). The account covers development of the area from the initial classical works of the first half of the 20th century to the flourishing period of the last decade. Seemingly very specific these problems have been from the very beginning a powerful source of ideas, concepts and methods that essentially influenced and in some cases even transformed considerable areas of analysis. Aside from the material linked by the aforementioned problems the book also is unified by geometric analysis approach used in the proofs of basic results. This requires a variety of geometric tools from convex and combinatorial geometry to geometry of metric space theory to Riemannian and coarse geometry and more. The necessary facts are presented mostly with detailed proofs to make thebook accessible to a wide audience.