Book contents
- Frontmatter
- Contents
- Preface
- 1 Fourier's representation for functions on, Tp, and ℙN
- 2 Convolution of functions on, Tp, and ℙN
- 3 The calculus for finding Fourier transforms of functions on ℝ
- 4 The calculus for finding Fourier transforms of functions on Tp, and ℙN
- 5 Operator identities associated with Fourier analysis
- 6 The fast Fourier transform
- 7 Generalized functions on ℝ
- 8 Sampling
- 9 Partial differential equations
- 10 Wavelets
- 11 Musical tones
- 12 Probability
- Appendices
- Appendix 1 The impact of Fourier analysis
- Appendix 2 Functions and their Fourier transforms
- Appendix 3 The Fourier transform calculus
- Appendix 4 Operators and their Fourier transforms
- Appendix 5 The Whittaker–Robinson flow chart for harmonic analysis
- Appendix 6 FORTRAN code for a radix 2 FFT
- Appendix 7 The standard normal probability distribution
- Appendix 8 Frequencies of the piano keyboard
- Index
Appendix 5 - The Whittaker–Robinson flow chart for harmonic analysis
Published online by Cambridge University Press: 01 September 2010
- Frontmatter
- Contents
- Preface
- 1 Fourier's representation for functions on, Tp, and ℙN
- 2 Convolution of functions on, Tp, and ℙN
- 3 The calculus for finding Fourier transforms of functions on ℝ
- 4 The calculus for finding Fourier transforms of functions on Tp, and ℙN
- 5 Operator identities associated with Fourier analysis
- 6 The fast Fourier transform
- 7 Generalized functions on ℝ
- 8 Sampling
- 9 Partial differential equations
- 10 Wavelets
- 11 Musical tones
- 12 Probability
- Appendices
- Appendix 1 The impact of Fourier analysis
- Appendix 2 Functions and their Fourier transforms
- Appendix 3 The Fourier transform calculus
- Appendix 4 Operators and their Fourier transforms
- Appendix 5 The Whittaker–Robinson flow chart for harmonic analysis
- Appendix 6 FORTRAN code for a radix 2 FFT
- Appendix 7 The standard normal probability distribution
- Appendix 8 Frequencies of the piano keyboard
- Index
Summary
- Type
- Chapter
- Information
- A First Course in Fourier Analysis , pp. 821 - 824Publisher: Cambridge University PressPrint publication year: 2008