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Applied harmonic analysis and sparse approximation. Abstracts from the workshop held August 16–22, 2015. (English) Zbl 1380.00060
Summary: 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.
MSC:
00B05 Collections of abstracts of lectures
00B25 Proceedings of conferences of miscellaneous specific interest
65Txx Numerical methods in Fourier analysis
65K05 Numerical mathematical programming methods
15B52 Random matrices (algebraic aspects)
94-06 Proceedings, conferences, collections, etc. pertaining to information and communication theory
65-06 Proceedings, conferences, collections, etc. pertaining to numerical analysis
42-06 Proceedings, conferences, collections, etc. pertaining to harmonic analysis on Euclidean spaces
42Bxx Harmonic analysis in several variables
42Cxx Nontrigonometric harmonic analysis
94A08 Image processing (compression, reconstruction, etc.) in information and communication theory
94A11 Application of orthogonal and other special functions
94A12 Signal theory (characterization, reconstruction, filtering, etc.)
94A20 Sampling theory in information and communication theory
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