Browsing by MSC "42"

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    • 1813 - Applied Harmonic Analysis and Data Processing 

      [OWR-2018-14] (2018) - (25 Mar - 31 Mar 2018)
      Massive data sets have their own architecture. Each data source has an inherent structure, which we should attempt to detect in order to utilize it for applications, such as denoising, clustering, anomaly detection, knowledge ...

    • 1224 - Applied Harmonic Analysis and Sparse Approximation 

      [OWR-2012-29] (2012) - (10 Jun - 16 Jun 2012)
      Applied harmonic analysis and sparse approximation are highly active research areas with a lot of recent exciting developments. Their methods have become crucial for a wide range of applications in technology and science, ...

    • 1534 - Applied Harmonic Analysis and Sparse Approximation 

      [OWR-2015-38] (2015) - (16 Aug - 22 Aug 2015)
      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 ...

    • 2036 - Automorphic Forms and Arithmetic (hybrid meeting) 

      [OWR-2020-26] (2020) - (30 Aug - 05 Sep 2020)
      The workshop was at the interface of automorphic forms and analytic number theory. The aim was to disseminate, discuss and develop important new methods and results in the analytic theory of automorphic forms, in particular ...

    • Bochner-Riesz Means at the Critical Index: Weighted and Sparse Bounds 

      [OWP-2023-16] Beltran, David; Roos, Joris; Seeger, Andreas (Mathematisches Forschungsinstitut Oberwolfach, 2023-11-27)
      We consider Bochner-Riesz means on weighted $L^p$ spaces, at the critical index $\lambda(p)=d(\frac 1p-\frac 12)-\frac 12$. For every $A_1$-weight we obtain an extension of Vargas' weak type $(1,1)$ inequality in some range ...

    • Coorbit Spaces and Dual Molecules: the Quasi-Banach Case 

      [OWP-2022-08] Van Velthoven, Jordy Timo; Voigtlaender, Felix (Mathematisches Forschungsinstitut Oberwolfach, 2022-05-27)
      This paper provides a self-contained exposition of coorbit spaces associated with integrable group representations and quasi-Banach function spaces. It extends the theory in [Studia Math., 180(3):237–253, 2007] to locally ...

    • 2319 - Group Actions and Harmonic Analysis in Number Theory 

      [OWR-2023-22] (2023) - (07 May - 12 May 2023)
      This workshop focuses on new problems and new methods at the interface of harmonic analysis (taken in a very broad sense) and ergodic theory, with applications focused on number theory. Special emphasis is put on ...

    • 2323 - Incidence Problems in Harmonic Analysis, Geometric Measure Theory, and Ergodic Theory 

      [OWR-2023-25] (2023) - (04 Jun - 09 Jun 2023)
      The workshop "Incidence Problems in Harmonic Analysis, Geometric Measure Theory, and Ergodic Theory" covered interactions between geometric problems involving fractals, dimensions, patterns, projections and incidences, and ...

    • 1751 - Mathematical Instruments between Material Artifacts and Ideal Machines: Their Scientific and Social Role before 1950 

      [OWR-2017-58] (2017) - (17 Dec - 23 Dec 2017)
      Since 1950, mathematicians have become increasingly familiar with the digital computer in their professional practice. Previously, however, many other instruments, now mostly forgotten, were commonly used to compute numerical ...

    • Mehler-Heine asymptotics of a class of generalized hypergeometric polynomials : 

      [OWP-2013-23] Bracciali, Cleonice F.; Moreno-Balcázar, Juan José (Mathematisches Forschungsinstitut Oberwolfach, 2013-10-29)
      We obtain a Mehler–Heine type formula for a class of generalized hypergeometric polynomials. This type of formula describes the asymptotics of polynomials scale conveniently. As a consequence of this formula, we obtain ...

    • 1840c - Mini-Workshop: Algebraic, Geometric, and Combinatorial Methods in Frame Theory 

      [OWR-2018-46] (2018) - (30 Sep - 06 Oct 2018)
      Frames are collections of vectors in a Hilbert space which have reconstruction properties similar to orthonormal bases and applications in areas such as signal and image processing, quantum information theory, quantization, ...

    • 1040a - Mini-Workshop: Shearlets 

      [OWR-2010-44] (2010) - (03 Oct - 09 Oct 2010)
      Over the last 20 years, multiscale methods and wavelets have revolutionized the field of applied mathematics by providing an efficient means for encoding isotropic phenomena. Directional multiscale systems, particularly ...

    • 1050b - Mini-Workshop: Wellposedness and Controllability of Evolution Equations 

      [OWR-2010-56] (2010) - (12 Dec - 18 Dec 2010)
      This mini-workshop brought together mathematicians engaged in partial differential equations, operator theory, functional analysis and harmonic analysis in order to address a number of current problems in the wellposedness ...

    • Multivariate Hybrid Orthogonal Functions 

      [OWP-2020-04] Bracciali, Cleonice F.; Pérez, Teresa E. (Mathematisches Forschungsinstitut Oberwolfach, 2020-03-12)
      We consider multivariate orthogonal functions satisfying hybrid orthogonality conditions with respect to a moment functional. This kind of orthogonality means that the product of functions of different parity order ...

    • 1503 - New Discretization Methods for the Numerical Approximation of PDEs 

      [OWR-2015-2] (2015) - (11 Jan - 17 Jan 2015)
      The construction and mathematical analysis of numerical methods for PDEs is a fundamental area of modern applied mathematics. Among the various techniques that have been proposed in the past, some – in particular, finite ...

    • A Note on Endpoint Bochner-Riesz Estimates 

      [OWP-2023-17] Beltran, David; Roos, Joris; Seeger, Andreas (Mathematisches Forschungsinstitut Oberwolfach, 2023-11-27)
      We revisit an $\varepsilon$-removal argument of Tao to obtain sharp $L^p \to L^r(L^p)$ estimates for sums of Bochner-Riesz bumps which are conditional on non-endpoint bounds for single scale bumps. These can be used to ...

    • On Weak Weighted Estimates of Martingale Transform 

      [OWP-2016-22] Nazarov, Fedor; Reznikov, Alexander; Vasyunin, Vasily; Volberg, Alexander (Mathematisches Forschungsinstitut Oberwolfach, 2016-11-12)
      We consider several weak type estimates for singular operators using the Bellman function approach. We disprove the $A_1$ conjecture, which stayed open after Muckenhoupt-Wheeden's conjecture was disproved by Reguera-Thiele.

    • 1113 - Operator Algebras and Representation Theory: Frames, Wavelets and Fractals 

      [OWR-2011-17] (2011) - (27 Mar - 02 Apr 2011)
      The central focus of the workshop was Kadison-Singer conjecture and its connection to operator algebras, harmonic analysis, representation theory and the theory of fractals. The program was intrinsically interdisciplinary ...

    • 1130 - Real Analysis, Harmonic Analysis and Applications 

      [OWR-2011-36] (2011) - (24 Jul - 30 Jul 2011)
      The workshop has focused on important developments within the last few years in the point of view and methods of real and harmonic Analysis as well as significant concurrent progress in the application of these to various ...

    • 1430 - Real Analysis, Harmonic Analysis and Applications 

      [OWR-2014-34] (2014) - (20 Jul - 26 Jul 2014)
      The workshop has focused on important developments within the last few years in the point of view and methods of real and harmonic Analysis as well as significant concurrent progress in the application of these to various ...