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

American Mathematical Society

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.

Edition details

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