• 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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Research Output 2000 2019

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
11 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
2018
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
12 Citations (Scopus)

Determinantal point process models on the sphere

Møller, J., Nielsen, M., Porcu, E. & Rubak, E. H., 2018, In : Bernoulli. 24, 2, p. 1171-1201 31 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Point Process
Process Model
Covariance Function
kernel
Moment

Fourier Multipliers on Decomposition Spaces of Modulation and Triebel–Lizorkin Type

Cleanthous, G., Georgiadis, A. & Nielsen, M., 1 Jun 2018, In : Mediterranean Journal of Mathematics. 15, 3, 14 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Fourier multipliers
Modulation
Decompose
Smoothness
Modulation Spaces
Random Sampling
Sampling
Wavelet Bases
Numerical Stability
Convergence of numerical methods

Nonlinear approximation with nonstationary Gabor frames

Ottosen, E. S. & Nielsen, M., Aug 2018, In : Advances in Computational Mathematics. 44, 4, p. 1183-1203 21 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Gabor Frames
Nonlinear Approximation
Thresholding
Rate of Approximation
Generalise

Projection operators on matrix weightedLp and a simple sufficient Muckenhoupt condition

Nielsen, M. & Rasmussen, M. G., 6 Aug 2018, In : Mathematica Scandinavica. 123, 1, p. 72-84 13 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Projection Operator
Sufficient
Projection
L-p space
Singular Integral Operator

Spectral multipliers on spaces of distributions associated with non-negative self-adjoint operators

Georgiadis, A. & Nielsen, M., Oct 2018, In : Journal of Approximation Theory. 234, p. 1-19 19 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Self-adjoint Operator
Multiplier
Generalized Sobolev Spaces
Non-negative
Space of Homogeneous Type
2017
8 Citations (Scopus)

Anisotropic mixed-norm Hardy spaces

Cleanthous, G., Georgiadis, A. & Nielsen, M., 2017, In : Journal of Geometric Analysis. 27, 4, p. 2758-2787 30 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Mixed Norm Space
Hardy Space
Maximal Operator
Lebesgue Space
Henri Léon Lebésgue
4 Citations (Scopus)

Discrete decomposition of homogeneous mixed-norm Besov spaces

Cleanthous, G., Georgiadis, A. & Nielsen, M., 2017, Functional Analysis, Harmonic Analysis, and Image Processing: A collection of Papers in Honor of Björn Jawerth. Cwikel, M. & Milman, M. (eds.). American Mathematical Society, p. 167-184 18 p. (Contemporary Mathematics; No. 693).

Research output: Contribution to book/anthology/report/conference proceedingBook chapterResearchpeer-review

128 Downloads (Pure)

Generalized sampling in Julia

Jacobsen, C. R. D., Nielsen, M. & Rasmussen, M. G., 2017, In : Journal of Open Research Software. 5, 1, 5 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Open Access
File
reconstruction
Sampling
performance
language
MATLAB
8 Citations (Scopus)

Molecular decomposition of anisotropic homogeneous mixed-norm spaces with applications to the boundedness of operators

Cleanthous, G., Georgiadis, A. & Nielsen, M., 1 Jan 2017, (Accepted/In press) In : Applied and Computational Harmonic Analysis. 34 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Mixed Norm Space
Homogeneous Space
Boundedness
Decomposition
Decompose
1 Citation (Scopus)

Nonlinear approximation with nonstationary Gabor frames

Ottosen, E. S. & Nielsen, M., 2017, ArXiv, 16 p.

Research output: Working paperResearch

On Homogeneous Decomposition Spaces and Associated Decompositions of Distribution Spaces

Al-Jawahri, Z. & Nielsen, M., 2017, ArXiv, 27 p.

Research output: Working paperResearch

1 Citation (Scopus)

Pseudodifferential operators on spaces of distributions associated with non-negative self-adjoint operators

Georgiadis, A. & Nielsen, M., 2017, In : Journal of Fourier Analysis and Applications. 23, 2, p. 344-378 35 p.

Research output: Contribution to journalJournal articleResearchpeer-review

10 Citations (Scopus)

Wavelet transforms for homogeneous mixed-norm Triebel-Lizorkin spaces

Georgiadis, A., Johnsen, J. E. & Nielsen, M., 2017, In : Monatshefte für Mathematik. 183, 4, p. 587-624 38 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Weighted Thresholding and Nonlinear Approximation

Ottosen, E. S. & Nielsen, M., Nov 2017, ArXiv, 22 p.

Research output: Working paperResearch

Nonlinear Approximation
Thresholding
Lasso
Coefficient
Denoising
2016

A characterization of sparse nonstationary Gabor expansions

Ottosen, E. S. & Nielsen, M., Jun 2016, ArXiv, 25 p.

Research output: Working paperResearch

Gabor Frames
Decompose
Banach Frames
Approximation Error
Coefficient

Generalized sampling in Julia

Jacobsen, C. R. D., Nielsen, M. & Rasmussen, M. G., 2016, ArXiv, 18 p.

Research output: Working paperResearch

17 Downloads (Pure)

On Schauder basis properties of multiply generated Gabor systems

Nielsen, M., 2016, In : Rocky Mountain Journal of Mathematics. 46, 6, p. 2043-2060 18 p.

Research output: Contribution to journalJournal articleResearchpeer-review

11 Citations (Scopus)

Pseudodifferential operators on mixed-nom Besov and Triebel-Lizorkin spaces

Georgiadis, A. & Nielsen, M., Nov 2016, In : Mathematische Nachrichten. 289, 16, p. 2019-2036 18 p.

Research output: Contribution to journalJournal articleResearchpeer-review

59 Downloads (Pure)

Spaces of distributions with mixed Lebesgue norms

Cleanthous, G., Georgiadis, A. & Nielsen, M., 2016, Proceedings of the 15th Panhellenic Conference of Mathematical Analysis. p. 29-38 10 p.

Research output: Contribution to book/anthology/report/conference proceedingArticle in proceedingResearchpeer-review

Open Access
File
2015

Determinantal point process models on the sphere

Møller, J., Nielsen, M., Porcu, E. & Rubak, E. H., 2015, CSGB, Institut for Matematik, Aarhus Universitet. 30 p. (CSGB Research Report; No. 13).

Research output: Book/ReportReportResearch

Open Access
1 Citation (Scopus)

On quasi-greedy bases associated with unitary representations of countable groups

Nielsen, M., 2015, In : Glasnik Matematicki. 50, 1, p. 193-205 13 p.

Research output: Contribution to journalJournal articleResearchpeer-review

2014
4 Citations (Scopus)

Frames for decomposition spaces generated by a single function

Nielsen, M., 2014, In : Collectanea Mathematica. 65, 2, p. 183-201 19 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Investigation of the Effects of Data Collection on Visual Stylometry

Jacobsen, R. D. & Nielsen, M., Dec 2014, In : International Journal of Image and Graphics. 14, 4, 22 p., 1450019.

Research output: Contribution to journalJournal articleResearchpeer-review

1 Citation (Scopus)

On stability of Schauder bases of integer translates

Nielsen, M. & Sikic, H., 2014, In : Journal of Functional Analysis. 266, 4, p. 2281-2293 13 p.

Research output: Contribution to journalJournal articleResearchpeer-review

2013
3 Citations (Scopus)

Democratic systems of translates

Hernandez, E., Nielsen, M., Sikic, H. & Soria, F., Jul 2013, In : Journal of Approximation Theory. 171, p. 105-127 23 p.

Research output: Contribution to journalJournal articleResearchpeer-review

607 Downloads (Pure)

On quasi-greedy bases associated with unitary representations of countable groups

Nielsen, M., Jun 2013, Department of Mathematical Sciences, Aalborg University. 12 p. (Research Report Series; No. R-2013-05).

Research output: Book/ReportReportResearch

File
748 Downloads (Pure)

On stability of Schauder bases of integer translates

Nielsen, M. & Sikic, H., May 2013, Department of Mathematical Sciences, Aalborg University. 12 p. (Research Report Series; No. R-2013-04).

Research output: Book/ReportReportResearch

File

On traces of general decomposition spaces

Nielsen, M., Sep 2013, In : Monatshefte für Mathematik. 171, 3-4, p. 443-457 15 p.

Research output: Contribution to journalJournal articleResearchpeer-review

10 Citations (Scopus)

Stylometry of paintings using hidden Markov modelling of contourlet transforms

Jacobsen, R. & Nielsen, M., 2013, In : Signal Processing. 93, 3, p. 579-591 19 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Summation of Multiple Fourier Series in Matrix Weightedp L-Spaces

Nielsen, M., 2013, In : Journal of Mathematics (New York). 2013, 7 p., 135245.

Research output: Contribution to journalJournal articleResearchpeer-review

1 Citation (Scopus)

The restricted isometry property meets nonlinear approximation with redundant frames

Gribonval, R. & Nielsen, M., 2013, In : Journal of Approximation Theory. 165, 1, p. 1-19 19 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Nonlinear Approximation
Bernstein Inequality
Glossaries
Isometry
Interpolation Spaces
2012

Book Review: Re. "Greedy Approximation" by Vladimir Temlyakow

Nielsen, M., 2012, In : SIAM Review. 54, 4, p. 841-842 2 p.

Research output: Contribution to journalLiterature reviewResearchpeer-review

3 Citations (Scopus)

Compactly Supported Curvelet-Type Systems

Rasmussen, K. N. & Nielsen, M., 2012, In : Journal of Function Spaces and Applications. 2012, Article ID 876315, 18 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Curvelet
Type Systems
Molecules
Sparse Representation
Diagonal matrix
9 Citations (Scopus)

Compactly supported frames for decomposition spaces

Nielsen, M. & Rasmussen, K. N., 2012, In : Journal of Fourier Analysis and Applications. 18, 1, p. 87-117 31 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Modulation Spaces
Modulation
Decomposition
Decompose
Decay
699 Downloads (Pure)

Frames for decomposition spaces generated by a single function

Nielsen, M., 2012, Department of Mathematical Sciences, Aalborg University. 19 p. (Research Report Series; No. R-2012-06).

Research output: Book/ReportReportResearch

File

Maximal functions, product condition and its eccentricity

Nielsen, M. & Sikic, H., 2012, In : Collectanea Mathematica. 63, 2, p. 195-202 8 p.

Research output: Contribution to journalJournal articleResearchpeer-review

925 Downloads (Pure)

On traces of general decomposition spaces

Nielsen, M., 2012, Department of Mathematical Sciences, Aalborg University. 14 p. (Research Report Series; No. R-2012-03).

Research output: Book/ReportReportResearch

Open Access
File

On Transference of Multipliers on Matrix Weighted Lp-Spaces

Nielsen, M., Jan 2012, In : Journal of Geometric Analysis. 22, 1, p. 12-22 11 p.

Research output: Contribution to journalJournal articleResearchpeer-review

PROFILE - Mathematical sciences in Aalborg

Højsgaard, S. & Nielsen, M., 2012

Research output: Other contributionNet publication - Internet publicationCommunication

526 Downloads (Pure)
Open Access
File
2011
977 Downloads (Pure)

Authentication of paintings using hidden markov modelling of contourlet coefficients

Jacobsen, C. R. & Nielsen, M., 2011, Department of Mathematical Sciences, Aalborg University. 19 p. (Research Report Series; No. R-2011-07).

Research output: Book/ReportReportResearch

File
313 Downloads (Pure)

Democratic systems of translates

Hernández, E., Nielsen, M., Sikic, H. & Soria, F., Feb 2011, Department of Mathematical Sciences, Aalborg University. 28 p. (Research Report Series; No. R-2011-04).

Research output: Book/ReportReportResearch

File