ISBN-10:
0521655951
ISBN-13:
9780521655958
Pub. Date:
02/28/1999
Publisher:
Cambridge University Press
Geometry of Sets and Measures in Euclidean Spaces: Fractals and Rectifiability

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

by Pertti Mattila, W. Fulton, B. Bollobas

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Product Details

ISBN-13: 9780521655958
Publisher: Cambridge University Press
Publication date: 02/28/1999
Series: Cambridge Studies in Advanced Mathematics Series , #44
Edition description: New Edition
Pages: 343
Product dimensions: 5.98(w) x 8.98(h) x 0.91(d)

Table of Contents

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.

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