• Fredrik Bajers Vej 7, G, 1-109

    9220 Aalborg Ø

    Denmark

  • Skjernvej 4, A, 5-128

    9220 Aalborg Ø

    Denmark

20002019
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Personal profile

Keywords

  • Mathematics and Statistics
  • harmonic analysis
  • approximation theory
  • sparse signal processing
  • mathematical analysis

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  • 4 Similar Profiles
Nonlinear Approximation Mathematics
Glossaries Engineering & Materials Science
Triebel-Lizorkin Space Mathematics
Decompose Mathematics
Modulation Spaces Mathematics
Mixed Norm Space Mathematics
Fourier multipliers Mathematics
Sparse Representation Mathematics

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Projects 2007 2017

Generalized wavelet systems

Nielsen, M. & Sikic, H.

19/05/2010 → …

Project: Research

Muckenhoupt matrix weights

Nielsen, M. & Sikic, H.

<ingen navn>

01/09/2008 → …

Project: Research

Weighted Lebesgue Spaces
Schauder Basis
Singular Integral Operator
Finitely Generated
Boundedness

Sparse representation of data

Nielsen, M. & Gribonval, R.

19/05/201031/12/2017

Project: Research

Authentification of paintings

Jacobsen, R. D. & Nielsen, M.

<ingen navn>

01/01/200931/10/2011

Project: Research

Harmonic analysis
Painting
Hidden Markov models
Statistics

Research Output 2000 2019

Approximation spaces of deep neural networks

Gribonval, R., Kutyniok, G., Nielsen, M. & Voigtlaender, F., 3 May 2019, 63 p.

Research output: Working paperResearch

Approximation Space
Neural Networks
Nonlinearity
Activation Function
Approximation Theory

Fourier Multipliers on Anisotropic Mixed-Norm Spaces of Distributions

Cleanthous, G., Georgiadis, A. & Nielsen, M., 2019, (Accepted/In press) In : Mathematica Scandinavica. 13 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Mixed Norm Space
Fourier multipliers
Equivalent Norm
Norm
Triebel-Lizorkin Space

Molecular decomposition and Fourier multipliers for holomorphic Besov and Triebel–Lizorkin spaces

Cleanthous, G., Georgiadis, A. G. & Nielsen, M., 11 Mar 2019, In : Monatshefte für Mathematik. 188, 3, p. 467-493 27 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Fourier multipliers
Triebel-Lizorkin Space
Besov Spaces
Boundedness
Equivalent Norm
9 Downloads (Pure)

Muckenhoupt Class Weight Decomposition and BMO Distance to Bounded Functions

Nielsen, M. & Sikic, H., 25 Mar 2019, In : Proceedings of the Edinburgh Mathematical Society. 15 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Open Access
File
Bounded Mean Oscillation
Decompose
Theorem
Rectangle
Regular hexahedron
3 Citations (Scopus)

A characterization of sparse nonstationary Gabor expansions

Ottosen, E. S. & Nielsen, M., Aug 2018, In : Journal of Fourier Analysis and Applications. 24, 4, p. 1048-1071 24 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Gabor Frames
Decomposition
Decompose
Banach Frames
Approximation Error

Press / Media

Fordybelse er populært

Morten Nielsen

08/07/2014

1 item of Media coverage

Press/Media: Press / Media

Navne i noter

Morten Nielsen

11/03/2013

1 item of Media coverage

Press/Media: Press / Media

Matematikkens nye mester

Morten Nielsen

13/02/2013

1 item of Media coverage

Press/Media: Press / Media

Forsker blandt de bedste

Morten Nielsen

07/02/2013

9 items of Media coverage

Press/Media: Press / Media