000 02926nam a22004455i 4500
001 978-3-0348-0212-3
003 DE-He213
005 20140220083253.0
007 cr nn 008mamaa
008 111005s2012 sz | s |||| 0|eng d
020 _a9783034802123
_9978-3-0348-0212-3
024 7 _a10.1007/978-3-0348-0212-3
_2doi
050 4 _aQA319-329.9
072 7 _aPBKF
_2bicssc
072 7 _aMAT037000
_2bisacsh
082 0 4 _a515.7
_223
100 1 _aBrudnyi, Alexander.
_eauthor.
245 1 0 _aMethods of Geometric Analysis in Extension and Trace Problems
_h[electronic resource] :
_bVolume 2 /
_cby Alexander Brudnyi, Yuri Brudnyi.
264 1 _aBasel :
_bSpringer Basel,
_c2012.
300 _aXX, 416 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aMonographs in Mathematics ;
_v103
505 0 _aPart 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.
520 _aThis 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.
650 0 _aMathematics.
650 0 _aFunctional analysis.
650 1 4 _aMathematics.
650 2 4 _aFunctional Analysis.
700 1 _aBrudnyi, Yuri.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783034802116
830 0 _aMonographs in Mathematics ;
_v103
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-0348-0212-3
912 _aZDB-2-SMA
999 _c101714
_d101714