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Methods of Geometric Analysis in Extension and Trace Problems

Methods of Geometric Analysis in Extension and Trace Problems

Volume 1

by Alexander Brudnyi and Prof. Yuri Brudnyi Technion R&D Foundation Ltd
Paperback
Publication Date: 29/11/2013
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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 the book accessible to a wide audience.
ISBN:
9783034803380
9783034803380
Category:
Functional analysis & transforms
Format:
Paperback
Publication Date:
29-11-2013
Language:
English
Publisher:
Springer Basel
Country of origin:
Switzerland
Pages:
560
Dimensions (mm):
235x155x30mm
Weight:
0.89kg

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