Morten Nielsen
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Morten Nielsenmathematics Degrees
Mathematics
#8399
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#11416
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Applied Mathematics
#483
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#516
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Measure Theory
#4021
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#4738
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Mathematics Computer Science
Morten Nielsen's Degrees
- PhD Mathematics Technical University of Denmark
- Masters Mathematics Technical University of Denmark
Why Is Morten Nielsen Influential?
(Suggest an Edit or Addition)Morten Nielsen's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Sparse representations in unions of bases (2003) (1008)
- Highly sparse representations from dictionaries are unique and independent of the sparseness measure (2007) (201)
- Frame Decomposition of Decomposition Spaces (2007) (117)
- Approximation Spaces of Deep Neural Networks (2019) (85)
- Anisotropic Mixed-Norm Hardy Spaces (2017) (63)
- Bi-framelet systems with few vanishing moments characterize Besov spaces (2004) (57)
- Banach frames for multivariate α-modulation spaces (2006) (56)
- Beyond sparsity: Recovering structured representations by ${\ell}^1$ minimization and greedy algorithms (2007) (54)
- On the Construction and Frequency Localization of Finite Orthogonal Quadrature Filters (2001) (51)
- Nonlinear Approximation with Dictionaries I. Direct Estimates (2004) (49)
- Molecular decomposition of anisotropic homogeneous mixed-norm spaces with applications to the boundedness of operators (2017) (49)
- Wavelet transforms for homogeneous mixed-norm Triebel–Lizorkin spaces (2016) (48)
- On anisotropic Triebel-Lizorkin type spaces, with applications to the study of pseudo-differential operators (2008) (47)
- On the Strong Uniqueness of Highly Sparse Representations from Redundant Dictionaries (2004) (45)
- Nonlinear approximation in α ‐modulation spaces (2006) (40)
- Boundedness for pseudodifferential operators on multivariate α-modulation spaces (2006) (40)
- Sparse approximations in signal and image processing (2006) (36)
- Schauder bases of integer translates (2007) (35)
- Pseudodifferential operators on mixed‐norm Besov and Triebel–Lizorkin spaces (2016) (33)
- Approximate Weak Greedy Algorithms (2001) (33)
- Tight wavelet frames in Lebesgue and Sobolev spaces (2004) (31)
- Discrete decomposition of homogeneous mixed-norm Besov spaces (2017) (30)
- Approximation with brushlet systems (2003) (24)
- Sparse decompositions in "incoherent" dictionaries (2003) (24)
- On Approximation with Spline Generated Framelets (2004) (24)
- Beyond coherence: Recovering structured time-frequency representations (2008) (23)
- Compactly Supported Frames for Decomposition Spaces (2012) (23)
- An example of an almost greedy uniformly bounded orthonormal basis for Lp(0, 1) (2006) (23)
- On Stability of Finitely Generated Shift-Invariant Systems (2010) (21)
- Beyond sparsity: recovering structured representations by l¹ minimization and greedy algorithms. - Application to the analysis of sparse underdetermined ICA - (2005) (19)
- Approximation with highly redundant dictionaries (2003) (19)
- On the quasi-greedy property and uniformly bounded orthonormal systems (2003) (18)
- Pseudodifferential Operators on Spaces of Distributions Associated with Non-negative Self-Adjoint Operators (2017) (16)
- Walsh-Type Wavelet Packet Expansions (2000) (16)
- Nonlinear Approximation with Dictionaries. II. Inverse Estimates (2006) (15)
- Fourier multipliers on anisotropic mixed-norm spaces of distributions (2018) (13)
- Orthonormal bases for α-modulation spaces (2010) (10)
- A Characterization of Sparse Nonstationary Gabor Expansions (2016) (10)
- On a Problem of Gröchenig About Nonlinear Approximation with Localized Frames (2004) (10)
- Frames for decomposition spaces generated by a single function (2014) (8)
- Quasi-greedy systems of integer translates (2008) (8)
- Trigonometric quasi-greedy bases for L p (T;w) (2006) (8)
- On stability of Schauder bases of integer translates (2014) (8)
- Democratic systems of translates (2013) (7)
- Spectral multipliers on spaces of distributions associated with non-negative self-adjoint operators (2018) (7)
- Mean size of wavelet packets (2002) (6)
- Highly nonstationary wavelet packets (2002) (6)
- Generalized Sampling in Julia (2016) (5)
- Lifetime Maximization of an Internet of Things (IoT) Network Based on Graph Signal Processing (2021) (4)
- Nonseparable Wavelet packets (2001) (4)
- Trigonometric bases for matrix weighted Lp-spaces (2010) (4)
- Compactly Supported Curvelet-Type Systems (2012) (4)
- On convergence of wavelet packet expansions (2002) (4)
- Some remarks on shrinkage operators (2003) (4)
- The restricted isometry property meets nonlinear approximation with redundant frames (2011) (3)
- On Transference of Multipliers on Matrix Weighted Lp-Spaces (2012) (3)
- Muckenhoupt Class Weight Decomposition and BMO Distance to Bounded Functions (2019) (3)
- Nonseparable Walsh-type functions on Rd (2004) (3)
- Nonlinear approximation with redundant dictionaries (2005) (3)
- Fast adaptive expansions in local trigonometric bases (2003) (3)
- Projection operators on matrix weighted $L^p$ and a simple sufficient Muckenhoupt condition (2015) (3)
- On homogeneous decomposition spaces and associated decompositions of distribution spaces (2017) (3)
- On quasi-greedy bases associated with unitary representations of countable groups (2015) (2)
- On a discrete transform of homogeneous decomposition spaces (2020) (2)
- On the equivalence of brushlet and wavelet bases (2005) (2)
- Approximation with wave packets generated by a refinable function (2005) (2)
- Nonlinear approximation with nonstationary Gabor frames (2017) (2)
- EURASIP signal processing journal, special issue on sparse approximations in signal and image processing (2004) (2)
- On polynomial symbols for subdivision schemes (2007) (2)
- On Schauder Bases Properties of Multiply Generated Gabor Systems (2015) (1)
- Nonlinear approximation with general wave packets (2005) (1)
- NONSEPARABLE WALSH-TYPE FUNCTIONS ON R (1)
- NONSEPARABLE WALSH-TYPE FUNCTIONS ON R (1)
- Nonlinear approximation with bi-framelets (2005) (1)
- Robustness of digital artist authentication (2011) (1)
- Orthonormal, moment preserving boundary wavelet scaling functions in Python (2020) (1)
- Nonlinear approximation in α-modulation spaces by Lasse Borup and Morten Nielsen (2003) (0)
- A Characterization of Sparse Nonstationary Gabor Expansions (2017) (0)
- Weighted Thresholding and Nonlinear Approximation (2017) (0)
- Muckenhoupt Matrix Weights (2020) (0)
- Summation of Multiple Fourier Series in Matrix Weighted -Spaces (2013) (0)
- Spaces of distributions with mixed Lebesgue norms (2016) (0)
- Aspects of nonlinear approximation with dictionaries (2009) (0)
- BEYOND SPARSITY : RECOVERING STRUCTURED REPRESENTATIONS BY (cid:96) 1 MINIMIZATION AND GREEDY ALGORITHMS. (2011) (0)
- On traces of general decomposition spaces (2013) (0)
- Nonlinear approximation with nonstationary Gabor frames (2017) (0)
- Banach frames for multivariate α-modulation spaces by Lasse Borup and Morten Nielsen (2005) (0)
- Pseudodifferential operators on Mixed-Norm $\alpha$-modulation spaces (2022) (0)
- On a transference result for matrix weights: On a transference result for matrix weights (2009) (0)
- Nonseparable Walsh-type Functions on R Nonseparable Walsh-type Functions on R D (2003) (0)
- Stable decomposition of homogeneous Mixed-norm Triebel-Lizorkin spaces (2022) (0)
- Fourier Multipliers on Decomposition Spaces of Modulation and Triebel–Lizorkin Type (2018) (0)
- Summation of Multiple Fourier Series in Matrix Weighted L p-Spaces (2015) (0)
- On a new boundedness result for pseudodifferential operators with exotic symbols (2005) (0)
- Maximal functions, product condition and its eccentricity (2012) (0)
- Investigations of the effects of random sampling schemes on the stability of generalized sampling (2016) (0)
- Unconditional Bases for Homogeneous $$\alpha $$-Modulation Type Spaces (2020) (0)
- Book Review: Re. "Greedy Approximation" by Vladimir Temlyakow (2012) (0)
- Unconditional Bases for Homogeneous α -Modulation Type Spaces (2022) (0)
- Sparse Approximations in Signal and Image Processing-EDITORIAL (2017) (0)
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What Schools Are Affiliated With Morten Nielsen?
Morten Nielsen is affiliated with the following schools:
