A first course in fourier analysis / David W. Kammler.

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Bibliographic Details
Edition:Rev. ed.
Published: Cambridge ; New York : Cambridge University Press, c2007.
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Format: Book
Table of Contents:
  • Ch. 1. Fourier's reprcscntation for functions on [Riemann integral], T[subscript p], and P[subscript N]
  • Ch. 2. Convolution of functions on [Riemann integral], T[subscript p], Z, and P[subscript N]
  • Ch. 3. The calculus for finding Fourier transforms of functions on [Riemann integral]
  • Ch. 4. The calculus for finding Fourier transforms of functions on T[subscript p], Z, and P[subscript N]
  • Ch. 5. Operator identities associated with Fourier analysis
  • Ch. 6. The fast Fourier transform
  • Ch. 7. Generalized functions on [Riemann integral]
  • Ch. 8. Sampling
  • Ch. 9. Partial differential equasions
  • Ch. 10. Wavelets
  • Ch. 11. Musical tones
  • Ch. 12. Probability
  • App. 1. The impact of Fourier analysis
  • App. 2. Functions and their Fourier transforms
  • App. 3. The Fourier transform calculus
  • App. 4. Operators and their Fourier transforms
  • App. 5. The Whittaker-Robinson flow chart for harmonic analysis
  • App. 6. FORTRAN code for a radix 2 FFT
  • App. 7. The standard normal probability distribution
  • App. 8. Frequencies of the piano keyboard.