Sampling Theory, a Renaissance

Part I: Sparsity Models. - Estimation in High Dimensions: A Geometric Perspective. - Convex Recovery of a Structured Signal from Independent Random Linear Measurements. - Low Complexity Regularization of Linear Inverse Problems. - Part II: Frames with Benefits. - Noise-shaping Quantization Methods for Frame-based and Compressive Sampling Systems. - Fourier Operations in Applied Harmonic Analysis. - The Fundamentals of Spectral Tetris Frame Constructions. - Part III: Bandlimitation Recast. - System Approximation and Generalized Measurements in Modern Sampling Theory. - Entire Functions in Generalized Bernstein Spaces and Their Growth Behavior. - Sampling and Geometry. - A Sheaf-theoretic Perspective on Sampling. - Part IV: Solutions of Parametric PDEs. - How to Best Sample a Solution Manifold? . - On the Stability of Polynomial Interpolation using Hierarchical Sampling. - Part V: Implementation. - OperA: Operator-based Annihilation for Finite-Rate-of-Innovation Signal Sampling. - Digital Adaptive Calibration of Data Converters using Independent Component Analysis.