Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Acknowledgements
- 1 Introduction
- Part I Preliminaries and Some Simpler Applications of the Fourier Transform
- 2 Measure theoretic preliminaries
- 3 Fourier transforms
- 4 Hausdorff dimension of projections and distance sets
- 5 Exceptional projections and Sobolev dimension
- 6 Slices of measures and intersections with planes
- 7 Intersections of general sets and measures
- Part II Specific Constructions
- Part III Deeper Applications of the Fourier Transform
- Part IV Fourier Restriction and Kakeya Type Problems
- References
- Index of basic notation
- Author index
- Subject index
2 - Measure theoretic preliminaries
from Part I - Preliminaries and Some Simpler Applications of the Fourier Transform
Published online by Cambridge University Press: 05 September 2015
- Frontmatter
- Dedication
- Contents
- Preface
- Acknowledgements
- 1 Introduction
- Part I Preliminaries and Some Simpler Applications of the Fourier Transform
- 2 Measure theoretic preliminaries
- 3 Fourier transforms
- 4 Hausdorff dimension of projections and distance sets
- 5 Exceptional projections and Sobolev dimension
- 6 Slices of measures and intersections with planes
- 7 Intersections of general sets and measures
- Part II Specific Constructions
- Part III Deeper Applications of the Fourier Transform
- Part IV Fourier Restriction and Kakeya Type Problems
- References
- Index of basic notation
- Author index
- Subject index
Summary
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- Chapter
- Information
- Fourier Analysis and Hausdorff Dimension , pp. 11 - 25Publisher: Cambridge University PressPrint publication year: 2015