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Publications by Jakob Lemvig

• Jakob Lemvig and Kamilla Haahr Nielsen (2020) Gabor windows supported on {1,1$} and construction of compactly supported dual windows with optimal smoothness. J. Approx. Theory, 249:105304.
• Jakob Lemvig and Jordy Timo van Velthoven (2020) Criteria for generalized translation-invariant frames. Studia Math., 250(1):31–63.
• Jakob Lemvig and Kamilla Haahr Nielsen (2019) On the smoothness of dual windows for Gabor windows supported on {-1, 1$}. In Sampling Theory and Applications (SampTA), 2019 International Conference on. July
• Hartmut Führ and Jakob Lemvig (2018) System bandwidth and the existence of generalized shift-invariant frames. J. Funct. Anal..
• Ole Christensen, Marzieh Hasannasab, Jakob Lemvig (2017) Explicit constructions and properties of generalized shift-invariant systems in L^2(\mathbb R). Adv. Comput. Math., 43(2):443–472.
• Marcin Bownik, Mads S. Jakobsen, Jakob Lemvig and Kasso A. Okoudjou (2017) On Multivariate Wilson Bases. In Sampling Theory and Applications (SampTA), 2017 International Conference on. July
• Marcin Bownik, Mads S. Jakobsen, Jakob Lemvig and Kasso A. Okoudjou (2017) On Wilson bases in L^2(\mathbb R^d). SIAM J. Math. Anal., 49(5):3999–4023.
• Marcin Bownik and Jakob Lemvig (2017) Wavelets for non-expanding dilations and the lattice counting estimate. Int. Math. Res. Not. IMRN.
• Jakob Lemvig (2017) On some Hermite series identities and their applications to Gabor analysis. Monatsh. Math., 182(4):899–912.
• Mads Sielemann Jakobsen and Jakob Lemvig (2016) Reproducing formulas for generalized translation invariant systems on locally compact abelian groups. Trans. Amer. Math. Soc., 368(12):8447–8480.
• Mads Sielemann Jakobsen and Jakob Lemvig (2016) Co-compact Gabor Systems on Locally Compact Abelian Groups. J. Fourier Anal. Appl., 22(1):36–70.
• Jakob Lemvig and Kamilla Haahr Nielsen (2016) Counterexamples to the B-spline conjecture for Gabor frames. J. Fourier Anal. Appl., 22(6):1440–1451.
• Marcin Bownik and Jakob Lemvig (2016) Wavelets for non-expanding dilations and the lattice counting estimate. Int. Math. Res. Not..
• Mads Sielemann Jakobsen and Jakobsen Lemvig (2016) Density and duality theorems for regular Gabor frames. J. Funct. Anal., 270(1):229–263.
• Mads Sielemann Jakobsen and Jakob Lemvig (2015) A characterization of tight and dual generalized translation invariant frames. In Sampling Theory and Applications (SampTA), 2015 International Conference on. May, pages 96-100
• Mads Sielemann Jakobsen and Jakob Lemvig (2015) Duality results for co-compact Gabor systems. In Sampling Theory and Applications (SampTA), 2015 International Conference on. May, pages 144-147
• Jakob Lemvig, Christopher Miller and Kasso A. Okoudjou (2014) Prime tight frames. Adv. Comput. Math., 40(2):315–334.
• Felix Krahmer, Gitta Kutyniok and Jakob Lemvig (2014) Sparse matrices in frame theory. Comput. Statist., 29(3-4):547–568.
• Felix Krahmer, Gitta Kutyniok and Jakob Lemvig (2013) Sparsity and spectral properties of dual frames. Linear Algebra Appl., 439(4):982–998.
• Jakob Lemvig (2012) Constructing pairs of dual bandlimited frame wavelets in L^2(R^n). Appl. Comput. Harmon. Anal., 32:313–328.
• Gitta Kutyniok, Jakob Lemvig and Wang-Q Lim (2012) Shearlets and Optimally Sparse Approximations. In Shearlets: Multiscale Analysis for Multivariate Data. (D. Labate and G. Kutyniok, Eds.), Springer.
• Matcin Bownik and Jakob Lemvig (2012) Oversampling of wavelet frames for real dilations. Jour. London Math. Soc., 85:765–788.
• Gitta Kutyniok, Jakob Lemvig and Wang-Q Lim (2012) Optimally sparse approximations of 3D functions by compactly supported shearlet frames. SIAM J. Math. Anal., 44(4):2962–3017.
• Gitta Kutyniok, Jakob Lemvig and Wang-Q Lim (2012) Compactly supported shearlets. In Approximation Theory XIII: San Antonio 2010.. Springer Proc. Math., 163–186 (13).
• Gitta Kutyniok, Jakob Lemvig and Wang-Q Lim (2011) Optimally sparse approximations of multivariate functions using compactly supported shearlet frames. SampTA'11 (Singapore, 2011) Proc.
• Matcin Bownik and Jakob Lemvig (2011) Affine and quasi-affine frames for rational dilations. Trans. Amer. Math. Soc., 363(4):1887–1924.
• Jakob Lemvig (2009) Constructing pairs of dual bandlimited framelets with desired time localization. Adv. Comput. Math., 30(3):231–247.
• Marcin Bownik and Jakob Lemvig (2007) The canonical and alternate duals of a wavelet frame. Appl. Comput. Harmon. Anal., 23(2):263–272.