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Methods of Geometric Analysis in Extension and Trace Problems
Brudnyi, Alexander; Brudnyi, Yuri
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Description for Methods of Geometric Analysis in Extension and Trace Problems
Hardback. This volume presents an exposition of extension results for maps between different geometric objects, in addition to extension-trace results for smooth functions. The text covers developments in the field from the classical works of the early 20th century to the flourishing period of the last decade. Series: Monographs in Mathematics. Num Pages: 436 pages, biography. BIC Classification: PBKF; PBM. Category: (P) Professional & Vocational. Dimension: 235 x 155 x 33. Weight in Grams: 812.
The book presents 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 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 ... Read more
The book presents 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 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 ... Read more
Product Details
Format
Hardback
Publication date
2011
Publisher
Springer Basel Switzerland
Number of pages
436
Condition
New
Series
Monographs in Mathematics
Number of Pages
416
Place of Publication
Basel, Switzerland
ISBN
9783034802116
SKU
V9783034802116
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Methods of Geometric Analysis in Extension and Trace Problems
“Book under review is enormous in scope and contains most of the old and current results on extension problems. Many of the theorems appear here for the first time in book form. The book is self-contained, and the detailed arguments make it accessible to a wide audience, especially graduate students interested in getting into the subject. … It will become ... Read more