Sampling theory in Fourier and signal analysis : advanced topics
John R. Higgins, R. L. Stens · Oxford University Press eBooks · 1999
1. Applications of sampling theory to combintorial analysis, Stirling numbers, special functions and the Riemann zeta function 2. Sampling theory and the arithmetic Fourier transform 3. Derivative sampling - a paradigm example of multi-channel methods 4. Computational methods in linear prediction for band-limited signals based on past samples 5. Interpolation and sampling theories, and linear ordinary boundary value problems 6. Sampling by generalized kernels 7. Sampling theory and wavelets 8. Approximation by translates of a radial function 9. Almost sure sampling restoration of band-limited stochastic signals 10. Abstract harmonic analysis and the sampling theorem