Book contents
- Frontmatter
- Contents
- Preface
- 1 Introduction
- 2 Lebesgue integration
- 3 Some useful theorems
- 4 Convergence of sequences of functions
- 5 Local averages and convolution kernels
- 6 Some general remarks on Fourier transformation
- 7 Fourier theorems for good functions
- 8 Fourier theorems in Lp
- 9 Fourier theorems for functions outside Lp
- 10 Miscellaneous theorems
- 11 Power spectra and Wiener's theorems
- 12 Generalized functions
- 13 Fourier transformation of generalized functions I
- 14 Fourier transformation of generalized functions II
- 15 Fourier series
- 16 Generalized Fourier series
- Bibliography
- Index
5 - Local averages and convolution kernels
Published online by Cambridge University Press: 05 June 2012
- Frontmatter
- Contents
- Preface
- 1 Introduction
- 2 Lebesgue integration
- 3 Some useful theorems
- 4 Convergence of sequences of functions
- 5 Local averages and convolution kernels
- 6 Some general remarks on Fourier transformation
- 7 Fourier theorems for good functions
- 8 Fourier theorems in Lp
- 9 Fourier theorems for functions outside Lp
- 10 Miscellaneous theorems
- 11 Power spectra and Wiener's theorems
- 12 Generalized functions
- 13 Fourier transformation of generalized functions I
- 14 Fourier transformation of generalized functions II
- 15 Fourier series
- 16 Generalized Fourier series
- Bibliography
- Index
Summary
- Type
- Chapter
- Information
- A Handbook of Fourier Theorems , pp. 30 - 43Publisher: Cambridge University PressPrint publication year: 1987