Titlebook: Sampling Theory, a Renaissance; Compressive Sensing G?tz E. Pfander Book 2015 Springer International Publishing Switzerland 2015 Compressi

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Fourier Operators in Applied Harmonic Analysisonments; finite Gabor frames for deterministic compressive sensing and as a background for the HRT conjecture; generalizations of Fourier frames and non-uniform sampling; and pseudo-differential operator frame inequalities.

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The Fundamentals of Spectral Tetris Frame Constructionsmes. This paper then generated a vast amount of literature as Spectral Tetris was steadily developed, refined, and generalized until today we have a complete picture of what are the broad applications as well as the limitations of Spectral Tetris. In?this paper, we will put this vast body of literature into a coherent theory.

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Estimation in High Dimensions: A Geometric Perspectives geometric intuition about high-dimensional sets, justifies it with some results of asymptotic convex geometry, and demonstrates connections between geometric results and estimation problems. The theory is illustrated with applications to sparse recovery, matrix completion, quantization, linear and

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Low Complexity Regularization of Linear Inverse Problemsnown vector from partial indirect, and possibly noisy, measurements of it. A now standard method for recovering the unknown vector is to solve a convex optimization problem that enforces some prior knowledge about its structure. This chapter delivers a review of recent advances in the field where th

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Fourier Operators in Applied Harmonic Analysissign and optimal ambiguity function behavior for radar and communications applications; vector-valued ambiguity function theory for multi-sensor environments; finite Gabor frames for deterministic compressive sensing and as a background for the HRT conjecture; generalizations of Fourier frames and n

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