Applied harmonic analysis and sparse approximation. Abstracts from the workshop held August 16–22, 2015.

*(English)*Zbl 1380.00060Summary: 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 |