EBOOK

Geometry of Sets and Measures in Euclidean Spaces: Fractals and Rectifiability


€ 93,99
 
kartoniert
Sofort lieferbar
Dezember 2003

Beschreibung

Beschreibung

This book studies the geometric properties of general sets and measures in euclidean space.


Inhaltsverzeichnis

Acknowledgements; Basic notation; Introduction; 1. General measure theory; 2. Covering and differentiation; 3. Invariant measures; 4. Hausdorff measures and dimension; 5. Other measures and dimensions; 6. Density theorems for Hausdorff and packing measures; 7. Lipschitz maps; 8. Energies, capacities and subsets of finite measure; 9. Orthogonal projections; 10. Intersections with planes; 11. Local structure of s-dimensional sets and measures; 12. The Fourier transform and its applications; 13. Intersections of general sets; 14. Tangent measures and densities; 15. Rectifiable sets and approximate tangent planes; 16. Rectifiability, weak linear approximation and tangent measures; 17. Rectifiability and densities; 18. Rectifiability and orthogonal projections; 19. Rectifiability and othogonal projections; 19. Rectifiability and analytic capacity in the complex plane; 20. Rectifiability and singular intervals; References; List of notation; Index of terminology.
EAN: 9780521655958
ISBN: 0521655951
Untertitel: 'Cambridge Studies in Advanced'. Revised. Sprache: Englisch.
Verlag: CAMBRIDGE UNIV PR
Erscheinungsdatum: Dezember 2003
Seitenanzahl: 356 Seiten
Format: kartoniert
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