Selected Topics on Analysis in Metric Spaces
These notes originated from a course given by the first author in 1998/99 in the Scuola Normale Superiore of Pisa. The aim of the course was the presentation of the main mathematical prerequisites needed for the so-called Analysis in Metric Spaces. The exposition, though not fully self contained, covers abstract measure theory, Hausdorff measures, Lipschitz functions, covering theorems, Sobolev spaces; all these topics are developed in a general metric setting. We also discuss in detail the geodesic problem and the Gromov-Hausdorff convergence. The last chapter contains a brief, but very general, description of the theory of integration with…
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Produktdetails
Weitere Autoren: Till, Paolo
- ISBN: 978-88-7642-265-2
- EAN: 9788876422652
- Produktnummer: 11040748
- Verlag: Birkhauser Verlag AG
- Sprache: Englisch
- Erscheinungsjahr: 2000
- Seitenangabe: 133 S.
- Masse: H24.1 cm x B16.9 cm x D10.4 cm 319 g
- Abbildungen: 133 p.
- Gewicht: 319
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