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[null,"1.","Record Nr.",null,"UNINA9910151935603321"]
[null,null,"Autore",null,"De Lellis Camillo"]
[null,null,"Titolo",null,"Rectifiable Sets, Densities, and Tangent Measures [[electronic resource] /] / Camillo De Lellis"]
[null,null,"Pubbl/distr/stampa",null,"Zuerich, Switzerland, : European Mathematical Society Publishing House, 2008"]
[null,null,"ISBN",null,"3-03719-544-4"]
[null,null,"Descrizione fisica",null,"1 online resource (133 pages)"]
[null,null,"Collana",null,"Zurich Lectures in Advanced Mathematics (ZLAM)"]
[null,null,"Classificazione",null,"28-xx26-xx49-xx"]
[null,null,"Soggetti",null,"Functional analysis"]
[{"$nulls":4},"Calculus of variations"]
[{"$nulls":4},"Measure and integration"]
[{"$nulls":4},"Real functions"]
[{"$nulls":4},"Calculus of variations and optimal control; optimization"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Sommario/riassunto","The characterization of rectifiable sets through the existence of  densities is a pearl of geometric measure theory. The difficult proof,  due to Preiss, relies on many beautiful and deep ideas and novel  techniques. Some of them have already proven useful in other contexts,  whereas others have not yet been exploited. These notes give a simple  and short presentation of the former, and provide some perspective of  the latter.    This text emerged from a course on rectifiability given at the  University of Zürich. It is addressed both to researchers and students,  the only prerequisite is a solid knowledge in standard measure theory.  The first four chapters give an introduction to rectifiable sets and  measures in euclidean spaces, covering classical topics such as the area  formula, the theorem of Marstrand and the most elementary rectifiability  criterions. The fifth chapter is dedicated to a subtle rectifiability  criterion due to Marstrand and generalized by Mattila, and the last  three focus on Preiss' result. The aim is to provide a self-contained  reference for anyone interested in an overview of this fascinating topic."]