Methods of Geometric Analysis in Extension and Trace Problems (Record no. 101714)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02926nam a22004455i 4500 |
| 001 - CONTROL NUMBER | |
| control field | 978-3-0348-0212-3 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | DE-He213 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20140220083253.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr nn 008mamaa |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 111005s2012 sz | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9783034802123 |
| -- | 978-3-0348-0212-3 |
| 024 7# - OTHER STANDARD IDENTIFIER | |
| Standard number or code | 10.1007/978-3-0348-0212-3 |
| Source of number or code | doi |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA319-329.9 |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | PBKF |
| Source | bicssc |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT037000 |
| Source | bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515.7 |
| Edition number | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Brudnyi, Alexander. |
| Relator term | author. |
| 245 10 - TITLE STATEMENT | |
| Title | Methods of Geometric Analysis in Extension and Trace Problems |
| Medium | [electronic resource] : |
| Remainder of title | Volume 2 / |
| Statement of responsibility, etc | by Alexander Brudnyi, Yuri Brudnyi. |
| 264 #1 - | |
| -- | Basel : |
| -- | Springer Basel, |
| -- | 2012. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | XX, 416 p. |
| Other physical details | online resource. |
| 336 ## - | |
| -- | text |
| -- | txt |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | cr |
| -- | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 490 1# - SERIES STATEMENT | |
| Series statement | Monographs in Mathematics ; |
| Volume number/sequential designation | 103 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted 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. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | 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. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematics. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Functional analysis. |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematics. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Functional Analysis. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Brudnyi, Yuri. |
| Relator term | author. |
| 710 2# - ADDED ENTRY--CORPORATE NAME | |
| Corporate name or jurisdiction name as entry element | SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY | |
| Title | Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Display text | Printed edition: |
| International Standard Book Number | 9783034802116 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Monographs in Mathematics ; |
| Volume number/sequential designation | 103 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | http://dx.doi.org/10.1007/978-3-0348-0212-3 |
| 912 ## - | |
| -- | ZDB-2-SMA |
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