Book contents
- Frontmatter
- 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 analytic capacity in the complex plane
- 20 Rectifiability and singular integrals
- References
- List of notation
- Index of terminology
Basic notation
Published online by Cambridge University Press: 05 August 2012
- Frontmatter
- 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 analytic capacity in the complex plane
- 20 Rectifiability and singular integrals
- References
- List of notation
- Index of terminology
Summary
- Type
- Chapter
- Information
- Geometry of Sets and Measures in Euclidean SpacesFractals and Rectifiability, pp. xiiPublisher: Cambridge University PressPrint publication year: 1995