ENGLISH

Analysis of and on uniformly rectifiable sets

By Guy David , Stephen Semmes

Book information

Publisher
American Mathematical Soc.
Year
1993
ISBN
0821815377, 9780821815373
LCC
QA312 .D27 1993
Open Library ID
OL1425322M
Language
english
Format
DJVU
Filesize
7 MB (6965028 bytes)
Series
Mathematical Surveys and Monographs volume 38
Pages
366\366
Library
Kolxo3
DPI
600
Scanned
yes
Time added
2012-03-09 12:00:00

Description

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, this book also poses many open problems, some of which are quite basic.

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