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Methods of Geometric Analysis in Extension and Trace Problems: Volume 2
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Feldname
Details
Dewey Class
515.7
Titel
Methods of Geometric Analysis in Extension and Trace Problems ([EBook]) : Volume 2 / by Alexander Brudnyi, Yuri Brudnyi.
Verfasser
Brudnyi, Alexander
Added Personal Name
Brudnyi, Yuri
Other name(s)
SpringerLink (Online service)
Veröffentl
Basel : Springer Basel , 2012.
Physical Details
XIX, 414 pages, 6 illus., 1 illus. in color. : online resource.
Reihe
Monographs in mathematics
; 103
ISBN
9783034802123
Summary Note
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.:
Contents note
Part 3. Lipschitz Extensions from Subsets of Metric Spaces -- Chapter 6. Extensions of Lipschitz Maps -- Chapter 7. Simultaneous Lipschitz Extensions -- Chapter 8. Linearity and Nonlinearity -- Part 4. Smooth Extension and Trace Problems for Functions on Subsets of Rn -- Chapter 9. Traces to Closed Subsets: Criteria, Applications -- Chapter 10. Whitney Problems -- Bibliography -- Index.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
http://dx.doi.org/10.1007/978-3-0348-0212-3
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Functional Analysis
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Mathematics
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Authors:
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Brudnyi, Alexander
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Brudnyi, Yuri
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Monographs in mathematics
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515.7
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515.7 (DDC 23)
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