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Cover: 9780521655958 | Geometry of Sets and Measures in Euclidean Spaces | Pertti Mattila
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Geometry of Sets and Measures in Euclidean Spaces
Fractals and Rectifiability
Taschenbuch von Pertti Mattila
Sprache: Englisch

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Beschreibung
This book studies the geometric properties of general sets and measures in euclidean space.
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.
Details
Erscheinungsjahr: 2003
Fachbereich: Allgemeines
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 356
ISBN-13: 9780521655958
ISBN-10: 0521655951
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Mattila, Pertti
Redaktion: Fulton, W.
Hersteller: Cambridge University Press
Maße: 229 x 152 x 22 mm
Von/Mit: Pertti Mattila
Erscheinungsdatum: 22.12.2003
Gewicht: 0,578 kg
preigu-id: 106794913
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.
Details
Erscheinungsjahr: 2003
Fachbereich: Allgemeines
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 356
ISBN-13: 9780521655958
ISBN-10: 0521655951
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Mattila, Pertti
Redaktion: Fulton, W.
Hersteller: Cambridge University Press
Maße: 229 x 152 x 22 mm
Von/Mit: Pertti Mattila
Erscheinungsdatum: 22.12.2003
Gewicht: 0,578 kg
preigu-id: 106794913
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