Titlebook: Excursions in Harmonic Analysis, Volume 4; The February Fourier Radu Balan,Matthew Begué,Kasso A. Okoudjou Book 2015 Springer International

CRAB

Bridging erasures and the infrastructure of framesnd sampling erasures by inverting a matrix of dimension the cardinality of the erasure set. This is usually simpler and more efficient than inverting the frame operator of the remaining coefficients because the erasure set is usually much smaller than the dimension of the space. The method is not ha

Morsel

Choosing Function Spaces in Harmonic Analysise would like to draw the attention to the question: “Which function spaces are useful for which problem?” Looking into the books on Fourier analysis one may come to the conclusion that it has almost become a dogma that one has to study . and .-spaces properly in order to have a chance to understand

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Existence of frames with prescribed norms and frame operatorSchur-Horn type theorems which describe possible diagonals of positive self-adjoint operators with specified spectral properties. The first infinite dimensional result of this type is due to Kadison who characterized diagonals of orthogonal projections. Kadison’s theorem automatically gives a charac

PALMY

Phase Transitions in Phase Retrievalfunction is reported. This scenario appears in several applications, and the goal is to recover the unknown signal – this is called phase retrieval. Phase retrieval has been a popular subject of research in the last few years, both in determining whether complete information is available with a give

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A Message-Passing Approach to Phase Retrieval of Sparse Signalsintensity measurements are necessary and sufficient to recover generic ., there is great interest in reducing the number of measurements through the exploitation of sparse ., which is known as compressive phase retrieval. In this work, we detail a novel, probabilistic approach to compressive phase r

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HALL

Cornerstones of Sampling of Operator Theoryr to as .. We trace the motivation and history of the subject back to the original work of the third-named author in the late 1950s and early 1960s, and to the innovations in spread-spectrum communications that preceded that work. We give a brief overview of the NOMAC (Noise Modulation and Correlati