Personal homepage of Jakob Lemvig

Publications

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Preprints

2020 Publications

  • Jakob Lemvig and Jordy Timo van Velthoven (2020) Criteria for generalized translation-invariant frames. Studia Math., 250(1):31–63. Journal version BibTeX
  • Lemvig, Jakob and Nielsen, Kamilla Haahr (2020) Gabor windows supported on {1,1$} and construction of compactly supported dual windows with optimal smoothness. J. Approx. Theory, 249:105304. Journal version BibTeX

2019 Publications

  • Hartmut Führ and Jakob Lemvig (2019) System bandwidth and the existence of generalized shift-invariant frames. J. Funct. Anal.. Journal version BibTeX
  • 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 BibTeX

2017 Publications

  • Jakob Lemvig (2017) On some Hermite series identities and their applications to Gabor analysis. Monatsh. Math., 182(4):899–912. Journal version BibTeX
  • Marcin Bownik and Jakob Lemvig (2017) Wavelets for non-expanding dilations and the lattice counting estimate. Int. Math. Res. Not. IMRN. Journal version BibTeX
  • 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. Journal version BibTeX
  • 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. Journal version BibTeX
  • 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 BibTeX

2016 Publications

  • Jakob Lemvig and Kamilla Haahr Nielsen (2016) Counterexamples to the B-spline conjecture for Gabor frames. J. Fourier Anal. Appl., 22(6):1440–1451. Journal version BibTeX
  • Mads Sielemann Jakobsen and Jakob Lemvig (2016) Density and duality theorems for regular Gabor frames. J. Funct. Anal., 270(1):229–263. Journal version Preprint version BibTeX
  • Mads Sielemann Jakobsen and Jakob Lemvig (2016) Co-compact Gabor Systems on Locally Compact Abelian Groups. J. Fourier Anal. Appl., 22(1):36–70. Journal version Preprint version BibTeX
  • Mads Sielemann Jakobsen and Jakob Lemvig (2016) Reproducing formulas for generalized translation invariant systems on locally compact abelian groups. Trans. Amer. Math. Soc., 368:8447–8480. Journal version Preprint version BibTeX

2016 Conference Proceedings (Refereed)

2007 - 2015 Publications

Journal Publications

  • Matcin Bownik and Jakob Lemvig (2007) The canonical and alternate duals of a wavelet frame. Appl. Comput. Harmon. Anal., 23(2):263–272. Journal version Preprint version BibTeX
  • Jakob Lemvig (2009) Constructing pairs of dual bandlimited framelets with desired time localization. Adv. Comput. Math., 30(3):231–247. Journal version Preprint version BibTeX
  • Matcin Bownik and Jakob Lemvig (2011) Affine and quasi-affine frames for rational dilations. Trans. Amer. Math. Soc., 363(4):1887–1924. Journal version Preprint version BibTeX
  • Jakob Lemvig (2012) Constructing pairs of dual bandlimited frame wavelets in L^2(R^n). Appl. Comput. Harmon. Anal., 32:313–328. Journal version Preprint version BibTeX
  • Matcin Bownik and Jakob Lemvig (2012) Oversampling of wavelet frames for real dilations. Jour. London Math. Soc., 85:765–788. Journal version Preprint version BibTeX
  • 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. Journal version Preprint version BibTeX
  • Felix Krahmer , Gitta Kutyniok and Jakob Lemvig (2013) Sparsity and spectral properties of dual frames. Linear Algebra Appl., 439(4):982–998. Journal version Preprint version BibTeX
  • Jakob Lemvig , Christopher Miller and Kasso A. Okoudjou (2014) Prime tight frames. Adv. Comput. Math., 40(2):315–334. Journal version Preprint version BibTeX
  • Felix Krahmer , Gitta Kutyniok and Jakob Lemvig (2014) Sparse matrices in frame theory. Comput. Statist., 29(3-4):547–568. Journal version Preprint version BibTeX
  • Hartmut Führ and Jakob Lemvig (2019) System bandwidth and the existence of generalized shift-invariant frames. J. Funct. Anal.. Journal version BibTeX
  • Jakob Lemvig and Jordy Timo van Velthoven (2020) Criteria for generalized translation-invariant frames. Studia Math., 250(1):31–63. Journal version BibTeX
  • Lemvig, Jakob and Nielsen, Kamilla Haahr (2020) Gabor windows supported on {1,1$} and construction of compactly supported dual windows with optimal smoothness. J. Approx. Theory, 249:105304. Journal version BibTeX

Conference Proceedings (Refereed)

  • Gitta Kutyniok , Jakob Lemvig and Wang-Q Lim (2011) Optimally sparse approximations of multivariate functions using compactly supported shearlet frames. In 2011 International Conference on Sampling Theory and Applications (SampTA). Preprint version BibTeX
  • 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). Journal version Preprint version BibTeX
  • Felix Krahmer , Gitta Kutyniok and Jakob Lemvig (2013) Spectral properties of dual frames. In 2013 International Conference on Sampling Theory and Applications (SampTA). May. Eurasip, pages 493-496 BibTeX
  • Mads Sielemann Jakobsen and Jakob Lemvig (2015) Duality results for co-compact Gabor systems. In 2015 International Conference on Sampling Theory and Applications (SampTA). May. IEEE Xplore, pages 144-147 Journal version BibTeX
  • Mads Sielemann Jakobsen and Jakob Lemvig (2015) A characterization of tight and dual generalized translation invariant frames. In 2015 International Conference on Sampling Theory and Applications (SampTA). May. IEEE Xplore, pages 96-100 Journal version BibTeX
  • 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 BibTeX

Other Publications (book chapters, etc.)

  • Jakob Lemvig (2010) Optimally sparse approximations of functions in L^2(R^n) with C^\alpha singularities using shearlets. Oberwolfach Report (44). BibTeX
  • 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. Preprint version BibTeX

Ph.D. Thesis

Title: Wavelet Frames and Their Duals (pdf). Supervisor: Ole Christensen. Thesis examiners: Prof. Per Christian Hansen (chairman, DTU), Prof. Say Song Goh (National University of Singapore), Prof. Richard S. Laugesen (University of Illinois, U.S.A.). Thesis defence: Friday September 26, 2008.

2017 Journal Publications

  • Jakob Lemvig (2017) On some Hermite series identities and their applications to Gabor analysis. Monatsh. Math., 182(4):899–912. Journal version BibTeX
  • Marcin Bownik and Jakob Lemvig (2017) Wavelets for non-expanding dilations and the lattice counting estimate. Int. Math. Res. Not. IMRN. Journal version BibTeX
  • 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. Journal version BibTeX
  • 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. Journal version BibTeX

2017 Conference Proceedings (Refereed)

  • 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 BibTeX

Preprints & 2015 Publications

  • Mads Sielemann Jakobsen and Jakob Lemvig (2015) A characterization of tight and dual generalized translation invariant frames. In 2015 International Conference on Sampling Theory and Applications (SampTA). May. IEEE Xplore, pages 96-100 Journal version BibTeX
  • Mads Sielemann Jakobsen and Jakob Lemvig (2015) Duality results for co-compact Gabor systems. In 2015 International Conference on Sampling Theory and Applications (SampTA). May. IEEE Xplore, pages 144-147 Journal version BibTeX
  • Felix Krahmer , Gitta Kutyniok and Jakob Lemvig (2013) Spectral properties of dual frames. In 2013 International Conference on Sampling Theory and Applications (SampTA). May. Eurasip, pages 493-496 BibTeX
  • Felix Krahmer , Gitta Kutyniok and Jakob Lemvig (2013) Sparsity and spectral properties of dual frames. Linear Algebra Appl., 439(4):982–998. Journal version Preprint version BibTeX
  • 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. Journal version Preprint version BibTeX
  • 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. Preprint version BibTeX
  • 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). Journal version Preprint version BibTeX
  • Jakob Lemvig (2012) Constructing pairs of dual bandlimited frame wavelets in L^2(R^n). Appl. Comput. Harmon. Anal., 32:313–328. Journal version Preprint version BibTeX
  • Matcin Bownik and Jakob Lemvig (2012) Oversampling of wavelet frames for real dilations. Jour. London Math. Soc., 85:765–788. Journal version Preprint version BibTeX
  • Gitta Kutyniok , Jakob Lemvig and Wang-Q Lim (2011) Optimally sparse approximations of multivariate functions using compactly supported shearlet frames. In 2011 International Conference on Sampling Theory and Applications (SampTA). Preprint version BibTeX
  • Matcin Bownik and Jakob Lemvig (2011) Affine and quasi-affine frames for rational dilations. Trans. Amer. Math. Soc., 363(4):1887–1924. Journal version Preprint version BibTeX
  • Jakob Lemvig (2010) Optimally sparse approximations of functions in L^2(R^n) with C^\alpha singularities using shearlets. Oberwolfach Report (44). BibTeX
  • Jakob Lemvig (2009) Constructing pairs of dual bandlimited framelets with desired time localization. Adv. Comput. Math., 30(3):231–247. Journal version Preprint version BibTeX
  • Matcin Bownik and Jakob Lemvig (2007) The canonical and alternate duals of a wavelet frame. Appl. Comput. Harmon. Anal., 23(2):263–272. Journal version Preprint version BibTeX