Methods of Geometric Analysis in Extension and Trace Problems: Volume 2 - Couverture souple

Brudnyi, Alexander; Brudnyi, Prof. Yuri Brudnyi

Couverture souple

ISBN 10 : 3034803397 ISBN 13 : 9783034803397

Editeur : Birkhäuser, 2013

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.

A propos du livre

Présentation de l'éditeur

This volume presents an exposition of extension results for maps between different geometric objects, in addition to extension-trace results for smooth functions. The text covers developments in the field from the classical works of the early 20th century to the flourishing period of the last decade.

Détails de l'édition

• Éditeur: Birkhäuser
• Date d'édition: 2013
• Langue: anglais
• ISBN 10: 3034803397
• ISBN 13: 9783034803397
• Reliure: Broché
• Nombre de pages: 436
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible