• 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

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Journal article
2019

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

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
129 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)

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

2016
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

2015
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

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
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

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

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

2010
11 Citations (Scopus)

On stability of finitely generated shift-invariant systems

Nielsen, M., 2010, In : Journal of Fourier Analysis and Applications. 16, 6, p. 901-920 20 p.

Research output: Contribution to journalJournal articleResearchpeer-review

2 Citations (Scopus)

Orthonormal bases for  α-modulation spaces

Nielsen, M., 2010, In : Collectanea Mathematica. 61, 2, p. 173-190 18 p.

Research output: Contribution to journalJournal articleResearchpeer-review

3 Citations (Scopus)

Trigonometric bases for matrix weighted Lp-spaces

Nielsen, M., 2010, In : Journal of Mathematical Analysis and Applications. 371, 2, p. 784-792 9 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Lp Spaces
Weighted Spaces
Approximation algorithms
Schauder Basis
Riesz Basis
2009
5 Citations (Scopus)

TRIGONOMETRIC QUASI-GREEDY BASES FOR L-p (T; w)

Nielsen, M., 2009, In : Rocky Mountain Journal of Mathematics. 39, 4, p. 1267-1278

Research output: Contribution to journalJournal articleResearchpeer-review

Riesz Basis
Thresholding
Converge
Norm
Imply
2008
9 Citations (Scopus)

Beyond coherence: Recovering structured time-frequency representations

Borup, L., Gribonval, R. & Nielsen, M., 2008, In : Applied and Computational Harmonic Analysis. 24, 1, p. 120-128 9 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Glossaries
Basis Pursuit
Matching Pursuit
Sparse Representation
Wavelet Bases
31 Citations (Scopus)

Beyond sparsity: Recovering structured representations by l1minimization and greedy algorithms

Gribonval, R. & Nielsen, M., 2008, In : Advances in Computational Mathematics. 28, 1, p. 23-41 19 p.

Research output: Contribution to journalJournal articleResearchpeer-review

20 Citations (Scopus)

On anisotropic Triebel-Lizorkin type spaces, with applications to the study of pseudo-diffibrential operators

Borup, L. & Nielsen, M., 2008, In : Journal of Function Spaces and Applications. 6, 2, p. 107-154 48 p.

Research output: Contribution to journalJournal articleResearchpeer-review

6 Citations (Scopus)

Quasi-greedy systems of integer translates

Nielsen, M. & Sikic, H., 2008, In : Journal of Approximation Theory. 155, 1, p. 43-51 9 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Finitely Generated
Integer
Shift-invariant Spaces
Riesz Basis
Thresholding
2007
9 Citations (Scopus)

An example of an almost greedy uniformly bounded orthonormal basis for Lp(0,1)

Nielsen, M., 2007, In : Journal of Approximation Theory. 149, 2, p. 188-192 5 p.

Research output: Contribution to journalJournal articleResearchpeer-review

72 Citations (Scopus)

Frame decomposition of decomposition spaces

Borup, L. & Nielsen, M., 2007, In : Journal of Fourier Analysis and Applications. 13, 1, p. 39-70 32 p.

Research output: Contribution to journalJournal articleResearchpeer-review

81 Citations (Scopus)

Highly sparse representations from dictionaries are unique and independent of the sparseness measure

Gribonval, R. & Nielsen, M., 2007, In : Applied and Computational Harmonic Analysis. 22, 3, p. 335-355 21 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Sparse Representation
Glossaries
Hilbert spaces
Banach spaces
Linear programming
1 Citation (Scopus)

On polynomial symbols for subdivision schemes

Nielsen, M., 2007, In : Advances in Computational Mathematics. 27, 2, p. 195-209 15 p.

Research output: Contribution to journalJournal articleResearchpeer-review

16 Citations (Scopus)

Schauder bases of integer translates

Nielsen, M. & Sikic, H., 2007, In : Applied and Computational Harmonic Analysis. 23, 2, p. 259-262 4 p.

Research output: Contribution to journalJournal articleResearchpeer-review

2006
23 Citations (Scopus)

Banach frames for multivariate alpha-modulation spaces

Borup, L. & Nielsen, M., 2006, In : Journal of Mathematical Analysis and Applications. 321, 2, p. 880-895 16 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Banach Frames
Modulation Spaces
Modulation
Besov Spaces
Tensor Product
21 Citations (Scopus)

Boundedness for pseudo differential operators on multivariate a-modulation spaces

Borup, L. & Nielsen, M., 2006, In : Arkiv for Matematik. 44, 2, p. 241-259 19 p.

Research output: Contribution to journalJournal articleResearchpeer-review

18 Citations (Scopus)

Nonlinear approximation in alpha-modulation spaces

Borup, L. & Nielsen, M., 2006, In : Mathematische Nachrichten. 279, 1-2, p. 101-120 20 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Modulation Spaces
Nonlinear Approximation
Approximation Space
Besov Spaces
Term
4 Citations (Scopus)

Nonlinear approximation with dictionaries. II. Inverse Estimates

Gribonval, R. & Nielsen, M., 2006, In : Constructive Approximation. 24, 2, p. 157-173 17 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Nonlinear Approximation
Glossaries
Jackson Inequality
Estimate
Bernstein Inequality
2005
48 Downloads (Pure)

Approximation with wave packets generated by a refinable function

Borup, L. & Nielsen, M., 2005, In : Proceedings of the American Mathematical Society. 133, 8, p. 2409-2418 10 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Open Access
File

Nonlinear approximation with general wave packets

Borup, L. & Nielsen, M., 2005, In : Analysis in Theory and Applications. 21, 3, p. 201-215 15 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Wave packets
Nonlinear Approximation
Wave Packet
Glossaries
Jackson Inequality

On the equivalence of brushlet and wavelet bases

Nielsen, M. & Borup, L., 2005, In : Journal of Mathematical Analysis and Applications. 309, 1, p. 117-135 19 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Triebel-Lizorkin Space
Wavelet Bases
Meyer Wavelet
Equivalence
Unconditional Basis
2004
35 Citations (Scopus)
159 Downloads (Pure)

Bi-framelet systems with few vanishing moments characterize Besov spaces

Borup, L., Gribonval, R. & Nielsen, M., 2004, In : Applied and Computational Harmonic Analysis. 17, 1, p. 3-28

Research output: Contribution to journalJournal articleResearchpeer-review

Open Access
File