Analysis Of And On Uniformly Rectifiable Sets

Analysis Of And On Uniformly Rectifiable Sets

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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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Product details

  • Hardback | 356 pages
  • 190.5 x 266.7 x 31.75mm | 816.47g
  • Providence, United States
  • English
  • 0821815377
  • 9780821815373