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001			292904
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007			cr nn 008mamaa
008			150903s2012 sz | o |||| 0|eng d
020			_a9783034802123 _99783034802123
024	7		_a10.1007/9783034802123 _2doi
035			_avtls000345275
039		9	_a201509030346 _bVLOAD _c201405050318 _dVLOAD _y201402061332 _zstaff
040			_aMX-SnUAN _bspa _cMX-SnUAN _erda
050		4	_aQA319-329.9
100	1		_aBrudnyi, Alexander. _eautor _9325057
245	1	0	_aMethods of Geometric Analysis in Extension and Trace Problems : _bVolume 2 / _cby Alexander Brudnyi, Yuri Brudnyi.
264		1	_aBasel : _bSpringer Basel, _c2012.
300			_axx, 416 páginas _brecurso en línea.
336			_atexto _btxt _2rdacontent
337			_acomputadora _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_aarchivo de texto _bPDF _2rda
490	0		_aMonographs in Mathematics ; _v103
500			_aSpringer eBooks
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.
590			_aPara consulta fuera de la UANL se requiere clave de acceso remoto.
700	1		_aBrudnyi, Yuri. _eautor _9325058
710	2		_aSpringerLink (Servicio en línea) _9299170
776	0	8	_iEdición impresa: _z9783034802116
856	4	0	_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-3-0348-0212-3 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
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999			_c292904 _d292904