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Research Output 2000 2019

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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
2013
624 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
767 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
2012
712 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
946 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
2011
983 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
329 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
294 Downloads (Pure)

Robustness of digital artist authentication

Jacobsen, R. & Nielsen, M., Oct 2011, Department of Mathematical Sciences, Aalborg University. (Research Report Series; No. R-2011-12).

Research output: Book/ReportReportResearch

File
Painting
Authentication
Multiresolution analysis

The restricted isometry property meets nonlinear approximation with redundant frames

Gribonval, R. & Nielsen, M., Feb 2011, Institut National de Recherche en Informatique et en Automatique. 22 p. (INRIA - Rapport de recherche; No. 7548).

Research output: Book/ReportReportResearch

Nonlinear Approximation
Bernstein Inequality
Isometry
Interpolation Spaces
Jackson Inequality
2010
221 Downloads (Pure)

Compactly supported curvelet type systems

Rasmussen, K. N. & Nielsen, M., Nov 2010, Department of Mathematical Sciences, Aalborg University. 18 p. (Research Report Series; No. R-2010-16).

Research output: Book/ReportReportResearch

File
204 Downloads (Pure)

Compactly supported frames for decomposition spaces

Rasmussen, K. N. & Nielsen, M., Nov 2010, Department of Mathematical Sciences, Aalborg University. 32 p. (Research Report Series; No. R-2010-17).

Research output: Book/ReportReportResearch

File
198 Downloads (Pure)

Maximal functions, product condition and its eccentricity

Nielsen, M. & Sikic, H., Nov 2010, Department of Mathematical Sciences, Aalborg University. 8 p. (Research Report Series; No. R-2010-15).

Research output: Book/ReportReportResearch

File
1125 Downloads (Pure)

Summation of multiple Fourier series in matrix weighted Lp-spaces

Nielsen, M., 2010, Department of Mathematical Sciences, Aalborg University: Institut for Matematiske fag, Aalborg Universitet. 10 p. (Research Report Series; No. R-2010-01).

Research output: Book/ReportReportResearch

Open Access
File
2009
136 Downloads (Pure)

On a transference result for matrix weights: On a transference result for matrix weights

Nielsen, M., 2009, Aalborg: Department of Mathematical Sciences, Aalborg University. 10 p. (Research Report Series; No. R-2009-04).

Research output: Book/ReportReportResearch

Open Access
File
86 Downloads (Pure)

Trigonometric bases for matrix weighted Lp-spaces

Nielsen, M., 2009, Aalborg: Institut for Matematiske fag, Aalborg Universitet. 14 p. (Research Report Series; No. R-2009-15).

Research output: Book/ReportReportResearch

Open Access
File
2008
160 Downloads (Pure)

On stability of finitely generated shift-invariant systems

Nielsen, M., 2008, Aalborg: Department of Mathematical Sciences, Aalborg University. 19 p. (Research Report Series; No. R-2008-15).

Research output: Book/ReportReportResearch

Open Access
File
200 Downloads (Pure)

Orthonormal bases for α-modulation spaces

Nielsen, M., 2008, Aalborg: Department of Mathematical Sciences, Aalborg University. 17 p. (Research Report Series; No. R-2008-03).

Research output: Book/ReportReportResearch

Open Access
File
Modulation Spaces
Orthonormal basis
Nonlinear Approximation
Term
Family
2007
101 Downloads (Pure)

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

Nielsen, M., 2007, Department of Mathematical Sciences, Aalborg University. 8 p. (Research Report Series; No. R-2007-20).

Research output: Book/ReportReportResearch

Open Access
File
108 Downloads (Pure)

Beyond coherence: Recovering structured time-frequency represenatations

Borup, L., Gribonval, R. & Nielsen, M., 2007, Department of Mathematical Sciences, Aalborg University. 11 p. (Research Report Series; No. R-2007-21).

Research output: Book/ReportReportResearch

Open Access
File
Glossaries

Quasi-greedy systems of integer translates

Nielsen, M. & Sikic, H., 2007, Department of Mathematical Sciences, Aalborg University. 10 p. (Research Report Series; No. R-2007-30).

Research output: Book/ReportReportResearch

Finitely Generated
Integer
Shift-invariant Spaces
Riesz Basis
Thresholding
187 Downloads (Pure)

Trigonometric quasi-greedy bases for Lp(T;w)

Nielsen, M., 2007, Department of Mathematical Sciences, Aalborg University. 8 p. (Research Report Series; No. R-2007-19).

Research output: Book/ReportReportResearch

Open Access
File
2006
334 Downloads (Pure)

Frame decomposition of decomposition spaces

Borup, L. & Nielsen, M., 2006, Department of Mathematical Sciences, Aalborg University. 28 p. (Research Report Series; No. R-2006-08).

Research output: Book/ReportReportResearch

Open Access
File
271 Downloads (Pure)

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

Borup, L. & Nielsen, M., 2006, Aalborg: Department of Mathematical Sciences, Aalborg University. 32 p. (Research Report Series; No. R-2006-25).

Research output: Book/ReportReportResearch

Open Access
File
Pseudodifferential Operators
Decompose
Atomic Decomposition
Choice Function
Dilation
2005
102 Downloads (Pure)

Banach frames for multivariate α-modulation spaces

Borup, L. & Nielsen, M., 2005, Dept. of Mathematical Sciences: Aalborg Universitetsforlag. 15 p. (Research Report Series; No. R-2005-14).

Research output: Book/ReportReportResearch

Open Access
File

Beyond sparsity: recovering structured representations by l¹ minimization and greedy algorithms. - Application to the analysis of sparse underdetermined ICA -

Gribonval, R. & Nielsen, M., 2005, Institut de Recherche en Informatique et Systèmes Alèatoires, Rennes: France. 19 p. (Publication interne; No. 1684).

Research output: Book/ReportReportResearch

Independent component analysis
Source separation
Glossaries
Signal processing
100 Downloads (Pure)

On a new boundedness result for pseudodifferential operators with exotic symbols

Borup, L. & Nielsen, M., 2005, Dept. of Mathematical Sciences: Aalborg Universitetsforlag. 16 p. (Research Report Series; No. R-2005-06).

Research output: Book/ReportReportResearch

Open Access
File
2004
92 Downloads (Pure)

Nonlinear approximation with general wave packets

Borup, L. & Nielsen, M., 2004, Aalborg: Department of Mathematical Sciences, Aalborg University. 16 p. (Research Report Series; No. R-2004-05).

Research output: Book/ReportReportResearch

Open Access
File
121 Downloads (Pure)

On approximation with wave packets generated from a refinable function

Borup, L. & Nielsen, M., 2004, Aalborg: Department of Mathematical Sciences, Aalborg University. 16 p. (Research Report Series; No. R-2004-04).

Research output: Book/ReportReportResearch

Open Access
File
189 Downloads (Pure)

On polynomial symbols for subdivision schemes

Nielsen, M., 2004, Aalborg: Department of Mathematical Sciences, Aalborg University. 13 p. (Research Report Series; No. R-2004-24).

Research output: Book/ReportReportResearch

Open Access
File
94 Downloads (Pure)

On the equivalence of brushlet and wavelet bases

Borup, L. & Nielsen, M., 2004, Aalborg: Department of Mathematical Sciences, Aalborg University. 18 p. (Research Report Series; No. R-2004-20).

Research output: Book/ReportReportResearch

Open Access
File
Triebel-Lizorkin Space
Wavelet Bases
Meyer Wavelet
Equivalence
Unconditional Basis
2003

Bi-framelet systems with few vanishing moments characterize Besov spaces

Borup, L., Gribonval, R. & Nielsen, M., 2003, Dept. of Mathematical Sciences: Aalborg Universitetsforlag. 26 p. (Research Report Series; No. R-2003-18).

Research output: Book/ReportReportResearch

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

Gribonval, R. & Nielsen, M., 2003, Dept. of Mathematical Sciences: Aalborg Universitetsforlag. 26 p. (Research Report Series; No. R-2003-16).

Research output: Book/ReportReportResearch

59 Downloads (Pure)

Nonlinear approximation in α-modulation spaces

Borup, L. & Nielsen, M., 2003, Dept. of Mathematical Sciences: Aalborg Universitetsforlag. 20 p. (Research Report Series; No. R-2003-11).

Research output: Book/ReportReportResearch

Open Access
File
99 Downloads (Pure)

Nonseparable Walsh-type functions on Rd

Nielsen, M., 2003, Dept. of Mathematical Sciences: Aalborg Universitetsforlag. 25 p. (Research Report Series; No. R-2003-10).

Research output: Book/ReportReportResearch

Open Access
File

On a problem of Gröchenig about nonlinear approximation with localized frames

Gribonval, R. & Nielsen, M., 2003, Dept. of Mathematical Sciences: Aalborg Universitetsforlag. 5 p. (Research Report Series; No. R-2003-19).

Research output: Book/ReportReportResearch

51 Downloads (Pure)

On the quasi-greedy property and uniformly bounded orthonormal systems

Gribonval, R. & Nielsen, M., 2003, Dept. of Mathematical Sciences: Aalborg Universitetsforlag. 6 p. (Research Report Series; No. R-2003-09).

Research output: Book/ReportReportResearch

Open Access
File
74 Downloads (Pure)

Some remarks on shrinkage operators

Borup, L. & Nielsen, M., 2003, Dept. of Mathematical Sciences: Aalborg Universitetsforlag. 14 p. (Research Report Series; No. R-2003-07).

Research output: Book/ReportReportResearch

Open Access
File
94 Downloads (Pure)

Tight wavelet frames in Lebesgue and Sobolev spaces

Borup, L., Gribonval, R. & Nielsen, M., 2003, Dept. of Mathematical Sciences: Aalborg Universitetsforlag. 18 p. (Research Report Series; No. R-2003-05).

Research output: Book/ReportReportResearch

Open Access
File
2002

Nonlinear approximation with dictionaries, I: Direct estimates

Gribonval, R. & Nielsen, M., 2002, Department of Mathematical Sciences: Aalborg Universitetsforlag. 17 p. (Research Report Series; No. R-02-2018).

Research output: Book/ReportReportResearch

Sparse representations in unions of bases

Gribonval, R. & Nielsen, M., 2002, Institut de Recherche en Informatique et Systèmes Aléatoires, Université de Rennes: France. 15 p. (Publication interne; No. 1499).

Research output: Book/ReportReportResearch

2001

Approximation with brushlet systems

Borup, L. & Nielsen, M., 2001, Aalborg: Aalborg Universitetsforlag. (Research Report Series; No. R-01-2014).

Research output: Book/ReportReportResearch

Fast adaptive expansions in local trigonometric bases

Borup, L. & Nielsen, M., 2001, Aalborg: Department of Mathematical Sciences, Aalborg University. (Research Report Series; No. R-01-2013).

Research output: Book/ReportReportResearch

Nonseparable Wavelet packets

Borup, L. & Nielsen, M., 2001, Aalborg: Aalborg Universitetsforlag. (Research Report Series; No. R-01-2012).

Research output: Book/ReportReportResearch