Analysis of and on uniformly rectifiable sets
Author(s)
Bibliographic Information
Analysis of and on uniformly rectifiable sets
（Mathematical surveys and monographs, no. 38）
American Mathematical Society, c1993
Available at / 50 libraries
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
dc20:515/d282070286041
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Note
Includes bibliographical references (p. 345-347) and index
Description and Table of Contents
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 behaviour of the set at most locations and scales. In addition to being a general reference on uniform rectifiability, the book also poses many open problems, some of which are quite basic.
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