Methods of geometric analysis in extension and trace problems. Volume 2

This is the second of a two-volume work presenting 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 the developmen...

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Dades bibliogràfiques
Autors principals: Brudnyi, Alexander, Brudnyi, Yuri (Autor)
Format: Livre numérique
Idioma:Anglais
Publicat: Basel : Springer Basel [20..].
Cham : Springer Nature
Edició:1st ed. 2012.
Col·lecció:Monographs in Mathematics 103
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Nota: Description d'après consultation du 2014-02-07
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
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Edition sous un autre format:• Methods of geometric analysis in extension and trace problems, Volume 2, Alexander Brudnyi, Yuri Brudnyi, Basel, Birkhäuser, 2012, 1 vol. (XIX-414 p.), Monographs in mathematics, 978-3-0348-0211-6
• Methods of Geometric Analysis in Extension and Trace Problems, Texte imprimé, 9783034803397
• Methods of Geometric Analysis in Extension and Trace Problems, Texte imprimé, 9783034802130
• Methods of geometric analysis in extension and trace problems, Volume 2, Alexander Brudnyi, Yuri Brudnyi, Basel, Birkhäuser, 2012, 1 vol. (XIX-414 p.), Monographs in mathematics, 978-3-0348-0211-6
Descripció
Sumari:This is the second of a two-volume work presenting 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 the 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 work is also unified by the 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.
Descripció de l’ítem:Description d'après consultation du 2014-02-07
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Bibliografia:Bibliogr. p. 383-412. Index
ISBN:9783034802123
ISSN:2296-4886
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