Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- 0 Overview of Measure Theory and Functional Analysis
- 1 Fourier Series Basics
- 2 The Fourier Transform
- 3 Multiple Fourier Series
- 4 Spherical Harmonics
- 5 Fractional Integrals, Singular Integrals, and Hardy Spaces
- 6 Modern Theories of Integral Operators
- 7 Wavelets
- 8 A Retrospective
- Appendices and Ancillary Material
- Appendix I The Existence of Testing Functions and Their Density in Lp
- Appendix II Schwartz Functions and the Fourier Transform
- Appendix III The Interpolation Theorems of Marcinkiewicz and Riesz-Thorin
- Appendix IV Hausdorff Measure and Surface Measure
- Appendix V Green's Theorem
- Appendix VI The Banach-Alaoglu Theorem
- Appendix VII Expressing an Integral in Terms of the Distribution Function
- Appendix VIII The Stone-Weierstrass Theorem
- Appendix IX Landau's O and o Notation
- Table of Notation
- Bibliography
- Index
This chapter is part of a book that is no longer available to purchase from Cambridge Core
Appendix IV - Hausdorff Measure and Surface Measure
from Appendices and Ancillary Material
Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- 0 Overview of Measure Theory and Functional Analysis
- 1 Fourier Series Basics
- 2 The Fourier Transform
- 3 Multiple Fourier Series
- 4 Spherical Harmonics
- 5 Fractional Integrals, Singular Integrals, and Hardy Spaces
- 6 Modern Theories of Integral Operators
- 7 Wavelets
- 8 A Retrospective
- Appendices and Ancillary Material
- Appendix I The Existence of Testing Functions and Their Density in Lp
- Appendix II Schwartz Functions and the Fourier Transform
- Appendix III The Interpolation Theorems of Marcinkiewicz and Riesz-Thorin
- Appendix IV Hausdorff Measure and Surface Measure
- Appendix V Green's Theorem
- Appendix VI The Banach-Alaoglu Theorem
- Appendix VII Expressing an Integral in Terms of the Distribution Function
- Appendix VIII The Stone-Weierstrass Theorem
- Appendix IX Landau's O and o Notation
- Table of Notation
- Bibliography
- Index
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- A Panaroma of Harmonic Analysis , pp. 320 - 322Publisher: Mathematical Association of AmericaPrint publication year: 1999