Book contents
- Frontmatter
- Contents
- Preface
- 1 Fourier series
- 2 Abel–Poisson means
- 3 Harmonic functions in the unit disc
- 4 Logarithmic convexity
- 5 Analytic functions in the unit disc
- 6 Norm inequalities for the conjugate function
- 7 Blaschke products and their applications
- 8 Interpolating linear operators
- 9 The Fourier transform
- 10 Poisson integrals
- 11 Harmonic functions in the upper half plane
- 12 The Plancherel transform
- 13 Analytic functions in the upper half plane
- 14 The Hilbert transform on ℝ
- A Topics from real analysis
- B A panoramic view of the representation theorems
- Bibliography
- Index
14 - The Hilbert transform on ℝ
Published online by Cambridge University Press: 05 June 2013
- Frontmatter
- Contents
- Preface
- 1 Fourier series
- 2 Abel–Poisson means
- 3 Harmonic functions in the unit disc
- 4 Logarithmic convexity
- 5 Analytic functions in the unit disc
- 6 Norm inequalities for the conjugate function
- 7 Blaschke products and their applications
- 8 Interpolating linear operators
- 9 The Fourier transform
- 10 Poisson integrals
- 11 Harmonic functions in the upper half plane
- 12 The Plancherel transform
- 13 Analytic functions in the upper half plane
- 14 The Hilbert transform on ℝ
- A Topics from real analysis
- B A panoramic view of the representation theorems
- Bibliography
- Index
Summary
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- Type
- Chapter
- Information
- Representation Theorems in Hardy Spaces , pp. 301 - 338Publisher: Cambridge University PressPrint publication year: 2009