nielsen

[1]	M. Nielsen. Unconditional bases for homogeneous α-modulation type spaces. Mediterr. J. Math., 19(2):Paper No. 55, 18, 2022. [ bib \| DOI \| http ]
[2]	R. Gribonval, G. Kutyniok, M. Nielsen, and F. Voigtlaender. Approximation spaces of deep neural networks. Constr. Approx., 55(1):259-367, 2022. [ bib \| DOI \| http ]
[3]	J. Holm, F. Chiariotti, M. Nielsen, and P. Popovski. Lifetime maximization of an internet of things (iot) network based on graph signal processing. I E E E Communications Letters, 25(8):2763-2767, Aug. 2021. [ bib \| DOI ]
[4]	Z. Al-Jawahri and M. Nielsen. On a discrete transform of homogeneous decomposition spaces. Appl. Comput. Harmon. Anal., 55:41-70, 2021. [ bib \| DOI \| http ]
[5]	M. Nielsen and H. Šikić. Muckenhoupt Matrix Weights. J. Geom. Anal., 31(9):8850-8865, 2021. [ bib \| DOI \| http ]
[6]	J. Holm, T. Arildsen, M. Nielsen, and S. Lønsmann Nielsen. Orthonormal, moment preserving boundary wavelet scaling functions in python. SN Applied Sciences, 2(12), Nov. 2020. [ bib \| DOI ]
[7]	G. Cleanthous, A. G. Georgiadis, and M. Nielsen. Fourier multipliers on anisotropic mixed-norm spaces of distributions. Math. Scand., 124(2):289-304, 2019. [ bib \| DOI \| http ]
[8]	Z. Al-Jawahri and M. Nielsen. On homogeneous decomposition spaces and associated decompositions of distribution spaces. Math. Nachr., 292(12):2496-2521, 2019. [ bib \| DOI \| http ]
[9]	G. Cleanthous, A. G. Georgiadis, and M. Nielsen. Molecular decomposition and Fourier multipliers for holomorphic Besov and Triebel-Lizorkin spaces. Monatsh. Math., 188(3):467-493, 2019. [ bib \| DOI \| http ]
[10]	M. Nielsen and H. Šikić. Muckenhoupt class weight decomposition and BMO distance to bounded functions. Proc. Edinb. Math. Soc. (2), 62(4):1017-1031, 2019. [ bib \| DOI \| http ]
[11]	G. Cleanthous, A. G. Georgiadis, and M. Nielsen. Molecular decomposition of anisotropic homogeneous mixed-norm spaces with applications to the boundedness of operators. Appl. Comput. Harmon. Anal., 47(2):447-480, 2019. [ bib \| DOI \| http ]
[12]	M. Nielsen and M. G. Rasmussen. Projection operators on matrix weighted L^p and a simple sufficient Muckenhoupt condition. Math. Scand., 123(1):72-84, 2018. [ bib \| DOI \| http ]
[13]	G. Cleanthous, A. G. Georgiadis, and M. Nielsen. Fourier multipliers on decomposition spaces of modulation and Triebel-Lizorkin type. Mediterr. J. Math., 15(3):Paper No. 122, 14, 2018. [ bib \| DOI \| http ]
[14]	A. G. Georgiadis and M. Nielsen. Spectral multipliers on spaces of distributions associated with non-negative self-adjoint operators. J. Approx. Theory, 234:1-19, 2018. [ bib \| DOI \| http ]
[15]	E. S. Ottosen and M. Nielsen. A characterization of sparse nonstationary Gabor expansions. J. Fourier Anal. Appl., 24(4):1048-1071, 2018. [ bib \| DOI \| http ]
[16]	R. D. Jacobsen, J. Møller, M. Nielsen, and M. G. Rasmussen. Investigations of the effects of random sampling schemes on the stability of generalized sampling. Appl. Comput. Harmon. Anal., 45(2):453-461, 2018. [ bib ]
[17]	E. S. Ottosen and M. Nielsen. Nonlinear approximation with nonstationary gabor frames. Advances in Computational Mathematics, 44(4):1183-1203, 2018. [ bib ]
[18]	J. Møller, M. Nielsen, E. Porcu, and E. Rubak. Determinantal point process models on the sphere. Bernoulli, 24(2):1171-1201, 2018. [ bib \| arXiv ]
[19]	G. Cleanthous, A. G. Georgiadis, and M. Nielsen. Anisotropic mixed-norm Hardy spaces. J. Geom. Anal., 27(4):2758-2787, 2017. [ bib \| DOI \| http ]
[20]	A. G. Georgiadis, J. Johnsen, and M. Nielsen. Wavelet transforms for homogeneous mixed-norm triebel-lizorkin spaces. Monatshefte für Mathematik, 183(4):587-624, 2017. [ bib ]
[21]	C. Jacobsen, M. Nielsen, and M. Rasmussen. Generalized sampling in julia. Journal of Open Research Software, 5(1):12 pp., 2017. [ bib ]
[22]	G. Cleanthous, A. G. Georgiadis, and M. Nielsen. Discrete decomposition of homogeneous mixed-norm besov spaces. Contemporary Mathematics, 693:167-184, 2017. [ bib ]
[23]	A. G. Georgiadis and M. Nielsen. Pseudodifferential operators on spaces of distributions associated with non-negative self-adjoint operators. Journal of Fourier Analysis and Applications, 23(3):344-378, 2017. [ bib ]
[24]	G. Cleanthous, A. G. Georgiadis, and M. Nielsen. Spaces of distributions with mixed lebesgue norms. In Proceedings of the 15th Panhellenic Conference of Mathematical Analysis, pages 29-38. University of Crete, 2016. [ bib ]
[25]	M. Nielsen. On Schauder basis properties of multiply generated Gabor systems. Rocky Mountain J. Math., 46(6):2043-2060, 2016. [ bib ]
[26]	A. G. Georgiadis and M. Nielsen. Pseudodifferential operators on mixed-norm Besov and Triebel-Lizorkin spaces. Math. Nachr., 289(16):2019-2036, 2016. [ bib ]
[27]	M. Nielsen. On quasi-greedy bases associated with unitary representations of countable groups. Glas. Mat. Ser. III, 50(70)(1):193-205, 2015. [ bib ]
[28]	M. Nielsen and H. Sikic. On stability of schauder bases of integer translates. J. Funct. Anal., 266(4):2281-2293, 2014. [ bib ]
[29]	M. Nielsen. Frames for decomposition spaces generated by a single function. Collect. Math., 65(2):183-201, 2014. [ bib ]
[30]	R. Jacobsen and M. Nielsen. Investigation of the effects of data collection on visual stylometry. International Journal of Image and Graphics, 14(4):1450020, 2014. [ bib ]
[31]	M. Nielsen. On traces of general decomposition spaces. Monatsh. Math., 171(3-4):443-457, 2013. [ bib ]
[32]	R. Jacobsen and M. Nielsen. Stylometry of paintings using hidden markov modelling of contourlet transforms. Signal Processing, 93(3):579-591, 2013. [ bib ]
[33]	E. Hernandez, M. Nielsen, H. Sikic, and F. Soria. Democratic systems of translates. J. Approx. Theory, 171:105-127, 2013. [ bib ]
[34]	R. Gribonval and M. Nielsen. The restricted isometry property meets nonlinear approximation with redundant frames. J. Approx. Theory, 165(1):1-19, 2013. [ bib ]
[35]	M. Nielsen and K. N. Rasmussen. Compactly supported frames for decomposition spaces. J. Fourier Anal. Appl., 18(1):87-117, 2012. [ bib ]
[36]	K. N. Rasmussen and M. Nielsen. Compactly supported curvelet-type systems. J. Funct. Spaces Appl., pages Art. ID 876315, pp. 18, 2012. [ bib ]
[37]	M. Nielsen. On transference of multipliers on matrix weighted L_p-spaces. J. Geom. Anal., 22(1):12-22, 2012. [ bib ]
[38]	M. Nielsen and H. Sikic. Maximal functions, product condition and its eccentricity. Collect. Math., 63(2):192-202, 2012. [ bib ]
[39]	M. Nielsen. Trigonometric bases for matrix weighted L_p-spaces. J. Math. Anal. Appl., 371:784-792, 2010. [ bib ]
[40]	M. Nielsen. Orthonormal bases for α-modulation spaces. Collect. Math., 61(2):173-190, 2010. [ bib ]
[41]	M. Nielsen. On stability of finitely generated shift-invariant systems. J. Fourier Anal. Appl., 16(6):901-920, 2010. [ bib ]
[42]	M. Nielsen. Aspects of nonlinear approximation with dictionaries. Doctoral Thesis, Aalborg University, 2009. [ bib ]
[43]	M. Nielsen. Trigonometric quasi-greedy bases for L_p([0,1]). Rocky Mountain J. Math., 39(4):1267-1278, 2009. [ bib ]
[44]	M. Nielsen and H. Sikic. Quasi-greedy systems of integer translates. J. Approx. Theory, 155(1):43-51, 2008. [ bib ]
[45]	L. Borup and M. Nielsen. On anisotropic Triebel-Lizorkin type spaces, with applications to the study of pseudo-differential operators. J. Funct. Spaces Appl., 6(2):107-154, 2008. [ bib ]
[46]	L. Borup, R. Gribonval, and M. Nielsen. Beyond coherence: recovering structured time-frequency representations. Appl. Comput. Harmon. Anal., 24(1):120-128, 2008. [ bib ]
[47]	R. Gribonval and M. Nielsen. Beyond sparsity: recovering structured representations by l¹ minimization and greedy algorithms. Adv. Comput. Math., 28(1):23-41, 2008. [ bib ]
[48]	M. Nielsen. An example of an almost greedy uniformly bounded orthonormal basis for L_p(0,1). J. Approx. Theory, 149(2):188-192, 2007. [ bib ]
[49]	M. Nielsen and H. Sikic. Schauder bases of integer translates. Appl. Comput. Harmon. Anal., 23(2):259-262, 2007. [ bib ]
[50]	M. Nielsen. On polynomial symbols for subdivision schemes. Adv. Comput. Math., 27(2):195-209, 2007. [ bib ]
[51]	R. Gribonval and M. Nielsen. Highly sparse representations from dictionaries are unique and independent of the sparseness measure. Appl. Comput. Harmon. Anal., 22(3):335-355, 2007. [ bib ]
[52]	L. Borup and M. Nielsen. Frame decomposition of decomposition spaces. J. Fourier Anal. Appl., 13(1):39-70, 2007. [ bib ]
[53]	L. Borup and M. Nielsen. Boundedness for pseudodifferential operators on multivariate α-modulation spaces. Ark. Mat., 44(2):241-259, 2006. [ bib ]
[54]	L. Borup and M. Nielsen. Banach frames for multivariate α-modulation spaces. J. Math. Anal. Appl., 321(2):880-895, 2006. [ bib ]
[55]	R. Gribonval and M. Nielsen. Nonlinear approximation with dictionaries. II. Inverse estimates. Constr. Approx., 24(2):157-173, 2006. [ bib ]
[56]	L. Borup and M. Nielsen. Nonlinear approximation in α-modulation spaces. Math. Nachr., 279(1-2):101-120, 2006. [ bib ]
[57]	M. Nielsen, L. Borup, and R. Gribonval. Nonlinear approximation with redundant dictionaries. In Proc. ICASSP' 05 (IEEE Conf. on Acoustics, Speech and Signal Proc.), volume IV, pages 261-264, 2005. [ bib ]
[58]	L. Borup and M. Nielsen. Nonlinear approximation with general wave packets. Anal. Theory Appl., 21(3):201-215, 2005. [ bib ]
[59]	L. Borup and M. Nielsen. On the equivalence of brushlet and wavelet bases. J. Math. Anal. Appl., 309(1):117-135, 2005. [ bib ]
[60]	L. Borup and M. Nielsen. Approximation with wave packets generated by a refinable function. Proc. Amer. Math. Soc., 133(8):2409-2418 (electronic), 2005. [ bib ]
[61]	L. Borup, R. Gribonval, and M. Nielsen. Nonlinear approximation with bi-framelets. In Approximation theory XI: Gatlinburg 2004, Mod. Methods Math., pages 93-104. Nashboro Press, Brentwood, TN, 2005. [ bib ]
[62]	R. Gribonval and M. Nielsen. On the strong uniqueness of highly sparse expansions from redundant dictionaries. In Proc. Int Conf. Independent Component Analysis (ICA'04), 2004. [ bib ]
[63]	L. Borup, R. Gribonval, and M. Nielsen. Tight wavelet frames in Lebesgue and Sobolev spaces. J. Funct. Spaces Appl., 2(3):227-252, 2004. [ bib ]
[64]	R. Gribonval and M. Nielsen. On a problem of Gröchenig about nonlinear approximation with localized frames. J. Fourier Anal. Appl., 10(4):433-437, 2004. [ bib ]
[65]	L. Borup, R. Gribonval, and M. Nielsen. Bi-framelet systems with few vanishing moments characterize Besov spaces. Appl. Comput. Harmon. Anal., 17(1):3-28, 2004. [ bib ]
[66]	M. Nielsen. Nonseparable Walsh-type functions on R^d. Glas. Mat. Ser. III, 39(59)(1):111-138, 2004. [ bib ]
[67]	R. Gribonval and M. Nielsen. Nonlinear approximation with dictionaries. I. Direct estimates. J. Fourier Anal. Appl., 10(1):51-71, 2004. [ bib ]
[68]	R. Gribonval and M. Nielsen. On approximation with spline generated framelets. Constr. Approx., 20(2):207-232, 2004. [ bib ]
[69]	L. Borup and M. Nielsen. Some remarks on shrinkage operators. Technical report, Aalborg University, 2003. [ bib ]
[70]	M. Nielsen and R. Gribonval. On the quasi-greedy property and uniformly bounded orthonormal systems. Technical report, Aalborg University, 2003. [ bib ]
[71]	R. Gribonval and M. Nielsen. Approximation with highly redundant dictionaries. In Proc. SPIE'03: 'Wavelets: Applications in Signal and Image Processing', volume 5207, pages 216-227, 2003. [ bib ]
[72]	M. Nielsen and R. Gribonval. Sparse decompositions in 'incoherent' dictionaries. In Proc. IEEE Intl. Conf. on Image Proc. (ICIP'03), 2003. [ bib ]
[73]	L. Borup and M. Nielsen. Fast adaptive expansions in local trigonometric bases. Signal Processing, 83(2):445-451, 2003. [ bib ]
[74]	R. Gribonval and M. Nielsen. Sparse representations in unions of bases. IEEE Trans. Inform. Theory, 49(12):3320-3325, 2003. [ bib ]
[75]	L. Borup and M. Nielsen. Approximation with brushlet systems. J. Approx. Theory, 123(1):25-51, 2003. [ bib ]
[76]	M. Nielsen. Size properties of wavelet packets generated using finite filters. Rev. Mat. Iberoamericana, 18(2):249-265, 2002. [ bib ]
[77]	M. Nielsen and D.-X. Zhou. Mean size of wavelet packets. Appl. Comput. Harmon. Anal., 13(1):22-34, 2002. [ bib ]
[78]	L. Borup and M. Nielsen. Nonseparable wavelet packets. In Approximation theory, X (St. Louis, MO, 2001), Innov. Appl. Math., pages 51-61. Vanderbilt Univ. Press, Nashville, TN, 2002. [ bib ]
[79]	M. Nielsen. On convergence of wavelet packet expansions. Approx. Theory Appl. (N.S.), 18(1):34-50, 2002. [ bib ]
[80]	M. Nielsen. Highly nonstationary wavelet packets. Appl. Comput. Harmon. Anal., 12(2):209-229, 2002. [ bib ]
[81]	R. Gribonval and M. Nielsen. Approximate weak greedy algorithms. Adv. Comput. Math., 14(4):361-378, 2001. [ bib ]
[82]	R. Gribonval and M. Nielsen. Some remarks on non-linear approximation with Schauder bases. East J. Approx., 7(3):267-285, 2001. [ bib ]
[83]	M. Nielsen. On the construction and frequency localization of finite orthogonal quadrature filters. J. Approx. Theory, 108(1):36-52, 2001. [ bib ]
[84]	M. Nielsen. Walsh-type wavelet packet expansions. Appl. Comput. Harmon. Anal., 9(3):265-285, 2000. [ bib ]
[85]	M. Nielsen. Size Properties of Wavelet Packets. PhD thesis, Washington University in St. Louis, 1999. [ bib ]

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