1 Introduction. - 1. 1 The Classical Sampling Theorem. - 1. 2 Non-Uniform Sampling and Frames. - 1. 3 Outline of the Book. - 2 On the Transmission Capacity of the Ether and Wire in Electrocommunications. - I Sampling Wavelets and the Uncertainty Principle. - 3 Wavelets and Sampling. - 4 Embeddings and Uncertainty Principles for Generalized Modulation Spaces. - 5 Sampling Theory for Certain Hilbert Spaces of Bandlimited Functions. - 6 Shannon-Type Wavelets and the Convergence of Their Associated Wavelet Series. - II Sampling Topics from Mathematical Analysis. - 7 Non-Uniform Sampling in Higher Dimensions: From Trigonometric Polynomials to Bandlimited Functions. - 8 The Analysis of Oscillatory Behavior in Signals Through Their Samples. - 9 Residue and Sampling Techniques in Deconvolution. - 10 Sampling Theorems from the Iteration of Low Order Differential Operators. - 11 Approximation of Continuous Functions by RogosinskiType Sampling Series. - III Sampling Tools and Applications. - 12 Fast Fourier Transforms for Nonequispaced Data: A Tutorial. - 13 Efficient Minimum Rate Sampling of Signals with Frequency Support over Non-Commensurable Sets. - 14 Finite-and Infinite-Dimensional Models for Oversampled Filter Banks. - 15 Statistical Aspects of Sampling for Noisy and Grouped Data. - 16 Reconstruction of MRI Images from Non-Uniform Sampling and Its Application to Intrascan Motion Correction in Functional MRI. - 17 Efficient Sampling of the Rotation Invariant Radon Transform. - References. Language: English