Analysis of and on Uniformly Rectifiable Sets (Mathematical Surveys & Monographs) - Hardcover

American Mathematical Society

 
9780821815373: Analysis of and on Uniformly Rectifiable Sets (Mathematical Surveys & Monographs)
Hardcover
ISBN 10: 0821815377 ISBN 13: 9780821815373
Publisher: American Mathematical Society, 1994

Synopsis

The notion of uniform rectifiability of sets (in a Euclidean space), which emerged only recently, can be viewed in several different ways. It can be viewed as a quantitative and scale-invariant substitute for the classical notion of rectifiability; as the answer (sometimes only conjecturally) to certain geometric questions in complex and harmonic analysis; as a condition which ensures the parametrizability of a given set, with estimates, but with some holes and self-intersections
allowed; and as an achievable baseline for information about the structure of a set. This book is about understanding uniform rectifiability of a given set in terms of the approximate behavior of the set at most locations and scales. In addition to being the only general reference available on uniform rectifiability, the book also poses many open problems, some of which are quite basic.

"synopsis" may belong to another edition of this title.

Publisher
American Mathematical Society
Publication date
1994
Language
English
ISBN 10 
0821815377
ISBN 13 
9780821815373
Binding
Hardcover
Number of pages
356