Overview
- Covers the development of the area from the first half of the 20th century to the last decade
- Well suited for self-study
- Necessary facts presented mostly with detailed proofs
- Includes supplementary material: sn.pub/extras
Part of the book series: Monographs in Mathematics (MMA, volume 102)
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Keywords
Table of contents (5 chapters)
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Classical Extension-Trace Theorems and Related Results
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Topics in Geometry of and Analysis on Metric Spaces
Reviews
“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 a standard reference in the subject, and it deserves a spot in the library.” (Garving K. Luli, Bulletin of the American Mathematical Society, Vol. 53 (1), January, 2016)
“The book is a unique (and therefore best) systematic presentation of the parts of analysis linked with the extension and trace problems. It is also a rich source of references and historical information on the topics under consideration. Undoubtedly, the book will influence significantly the research on the subject. The book is addressed at researchers, but it is also useful for lecturers as a source of supplementary material for standard courses of real and functional analysis.” (Victor Milman, Zentralblatt MATH, Vol. 1253, 2013)
“The two-volume monograph is divided into ten chapters, with five chapters in each volume. … the book successfully conveys the authors’ coherent vision for the subject, with the emphasis on linear extension operators, finiteness properties, and the treatment of extension via selection. It is certain to become a standard reference in the field.” (Leonid V. Kovalev, Mathematical Reviews, Issue 2012 j)
Authors and Affiliations
Bibliographic Information
Book Title: Methods of Geometric Analysis in Extension and Trace Problems
Book Subtitle: Volume 1
Authors: Alexander Brudnyi, Yuri Brudnyi
Series Title: Monographs in Mathematics
DOI: https://doi.org/10.1007/978-3-0348-0209-3
Publisher: Birkhäuser Basel
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Basel AG 2012
Hardcover ISBN: 978-3-0348-0208-6Published: 07 October 2011
Softcover ISBN: 978-3-0348-0338-0Published: 30 November 2013
eBook ISBN: 978-3-0348-0209-3Published: 07 October 2011
Series ISSN: 1017-0480
Series E-ISSN: 2296-4886
Edition Number: 1
Number of Pages: XXIII, 560
Number of Illustrations: 11 b/w illustrations
Topics: Functional Analysis