Methods of geometric analysis in extension and trace problems. Volume 1
This is the first 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...
সংরক্ষণ করুন:
| প্রধান লেখক: | , |
|---|---|
| বিন্যাস: | Livre numérique |
| ভাষা: | Anglais |
| প্রকাশিত: |
Basel :
Springer Basel
[20..].
Cham : Springer Nature |
| সংস্করন: | 1st ed. 2012. |
| মালা: | Monographs in Mathematics
102 |
| বিষয়গুলি: | |
| অনলাইন ব্যবহার করুন: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| টীকা: |
Description d'après consultation du 2014-02-07 L'accès complet à la ressource est réservé aux usagers des établissements qui en ont fait l'acquisition Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Methods of geometric analysis in extension and trace problems, Volume 1, Alexander Brudnyi, Yuri Brudnyi, Basel, Birkhäuser, 2012, 1 vol. (XXIII-560 p.), Monographs in mathematics, 978-3-0348-0208-6 • Methods of Geometric Analysis in Extension and Trace Problems, Texte imprimé, 9783034803380 • Methods of geometric analysis in extension and trace problems, Volume 1, Alexander Brudnyi, Yuri Brudnyi, Basel, Birkhäuser, 2012, 1 vol. (XXIII-560 p.), Monographs in mathematics, 978-3-0348-0208-6 • Methods of Geometric Analysis in Extension and Trace Problems, Texte imprimé, 9783034802109 |
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| 100 | 1 | |a Brudnyi, Alexander. | |
| 245 | 1 | 0 | |a Methods of geometric analysis in extension and trace problems. |n Volume 1 |c Alexander Brudnyi, Yuri Brudnyi. |
| 250 | |a 1st ed. 2012. | ||
| 260 | |a Basel : |b Springer Basel. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Monographs in Mathematics |v 102 |x 2296-4886 | |
| 500 | |a Description d'après consultation du 2014-02-07 | ||
| 500 | |a L'accès complet à la ressource est réservé aux usagers des établissements qui en ont fait l'acquisition | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a Preface Basic Terms and Notation Part 1. Classical Extension-Trace Theorems and Related Results Chapter 1. Continuous and Lipschitz Functions Chapter 2. Smooth Functions on Subsets of Rn Part 2. Topics in Geometry of and Analysis on Metric Spaces Chapter 3. Topics in Metric Space Theory Chapter 4. Selected Topics in Analysis on Metric Spaces Chapter 5. Lipschitz Embedding and Selections Bibliography Index. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a This is the first 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. | ||
| 538 | |a Nécessite un lecteur de fichier PDF | ||
| 650 | |a Géométrie analytique | ||
| 700 | 1 | |a Brudnyi, Yuri. |4 aut | |
| 776 | 0 | |0 15863487X |t Methods of geometric analysis in extension and trace problems |h Volume 1 |f Alexander Brudnyi, Yuri Brudnyi |c Basel |n Birkhäuser |d 2012 |p 1 vol. (XXIII-560 p.) |s Monographs in mathematics |z 978-3-0348-0208-6 | |
| 776 | 0 | |t Methods of Geometric Analysis in Extension and Trace Problems |b Texte imprimé |z 9783034803380 | |
| 776 | 0 | |0 15863487X |t Methods of geometric analysis in extension and trace problems |h Volume 1 |f Alexander Brudnyi, Yuri Brudnyi |c Basel |n Birkhäuser |d 2012 |p 1 vol. (XXIII-560 p.) |s Monographs in mathematics |z 978-3-0348-0208-6 | |
| 776 | 0 | |t Methods of Geometric Analysis in Extension and Trace Problems |b Texte imprimé |z 9783034802109 | |
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| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-JNW95V8F-X |z Accès sur la plateforme Istex | |
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