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Efficiently analyzing functions, in particular multivariate functions, is a key problem in applied mathematics. The area of applied harmonic analysis has a significant impact on this problem by providing methodologies both for theoretical questions and for a wide range of applications in technology and science, such as image processing. Approximation theory, in particular the branch of the theory of sparse approximations, is closely intertwined with this area with a lot of recent exciting developments in the intersection of both. Research topics typically also involve related areas such as convex optimization, probability theory, and Banach space geometry. The workshop was the continuation of a first event in 2012 and intended to bring together world leading experts in these areas, to report on recent developments, and to foster new developments and collaborations.
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Ingrid Daubechies, Gitta Kutyniok, Holger Rauhut, Thomas Strohmer, Applied Harmonic Analysis and Sparse Approximation. Oberwolfach Rep. 12 (2015), no. 3, pp. 2189–2263DOI 10.4171/OWR/2015/38