Homepage of the HATA group at DTU

Publications

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Preprints

  • Christensen, O., Hasannasab, M. and Stoeva, D. T. (2017) Operator representations of sequences and dynamical sampling. (preprint). BibTeX
  • Christensen, O., Hasannasab, O. and Rashidi, E. (2017) Dynamical sampling and frame representations with boundedoperators. (preprint). BibTeX
  • Christensen, O., Hasannasab, M. and Philipps, F. (2018) Frame properties of operator orbits. (preprint). BibTeX
  • Christensen, O., Janssen, A. E. J. M., Kim, H.O., Kim, R.Y. (2017) Approximately dual frames and almost perfect reconstruction basedon a class of window functions. (preprint). BibTeX
  • Hartmut Führ and Jakob Lemvig (2017) System bandwidth and the existence of generalized shift-invariant frames. (preprint). Journal version BibTeX
  • Jakob Lemvig and Jordy Timo van Velthoven (2017) Criteria for generalized translation-invariant frames. (preprint). Journal version BibTeX

2018 Publications

  • Jakobsen, Mads S. (2018) On a (No Longer) New Segal Algebra: A Review of the Feichtinger Algebra. Journal of Fourier Analysis and Applications. Journal version BibTeX

2017 Publications

  • Benavente, Ana, Christensen, Ole and Zakowicz, Mar\'\i a I. (2017) Generalized shift-invariant systems and approximately dual frames. Ann. Funct. Anal., 8(2):177–189. Journal version BibTeX
  • Bownik, Marcin, Jakobsen, Mads S., Lemvig, Jakob and Okoudjou, Kasso A. (2017) On Wilson bases in L^2(\mathbb R^d). SIAM J. Math. Anal., 49(5):3999–4023. Journal version BibTeX
  • Christensen, Ole and Goh, Say Song (2017) Construction of Scaling Partitions of Unity. Frontiers in Applied Mathematics and Statistics, 3:21. Journal version BibTeX
  • Christensen, Ole and Hasannasab, Marzieh (2017) Operator representations of frames: boundedness, duality, and stability. Integral Equations Operator Theory, 88(4):483–499. Journal version BibTeX
  • Christensen, Ole and Hasannasab, Marzieh (2017) Gabor Frames in \ell^2(\mathbb Z) and Linear Dependence. Journal of Fourier Analysis and Applications. Journal version BibTeX
  • Christensen, Ole, Kim, Hong Oh and Kim, Rae Young (2017) Characterisations of partition of unities generated by entire functions in \mathbb C^d. Bull. Aust. Math. Soc., 95(2):281–290. Journal version BibTeX
  • Christensen, Ole, Kim, Hong Oh and Kim, Rae Young (2017) B-Spline Approximations of the Gaussian, their Gabor Frame Properties, and Approximately Dual Frames. Journal of Fourier Analysis and Applications. Journal version BibTeX
  • Lemvig, Jakob (2017) On some Hermite series identities and their applications to Gabor analysis. Monatsh. Math., 182(4):899–912. Journal version BibTeX
  • Massopust, Peter, Forster, Brigitte and Christensen, Ole (2017) Fractional and complex pseudo-splines and the construction of Parseval frames. Appl. Math. Comput., 314:12–24. Journal version BibTeX
  • Ole Christensen (2017) Differential equations and infinite series. BibTeX
  • Ole Christensen and Marzieh Hasannasab (2017) A characterization of tight and dual generalized translation invariant frames. In Sampling Theory and Applications (SampTA), 2017 International Conference on. July BibTeX
  • Ole Christensen and Marzieh Hasannasab (2017) Frames, operator representations, and open problems. In Proceedings of IWOTA 2017. BibTeX
  • Ole Christensen and Say Song Goh (2017) The unitary extension principle on locally compact abelian groups. Applied and Computational Harmonic Analysis. Journal version BibTeX
  • Ole Christensen and Say Song Goh (2017) The unitary extension principle on locally compact abelian groups. Applied and Computational Harmonic Analysis. 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

2016 Publications

  • Christensen, Ole, Kim, Hong Oh and Kim, Rae Young (2016) On partition of unities generated by entire functions and Gabor frames in L^2(\mathbb R^d) and \ell^2(\mathbb Z^d). J. Fourier Anal. Appl., 22(5):1121–1140. Journal version BibTeX
  • Christensen, Ole, Kim, Hong Oh and Kim, Rae Young (2016) On the Gabor frame set for compactly supported continuous functions. J. Inequal. Appl.. Journal version BibTeX
  • Jakob Lemvig (2016) On some Hermite series identities and their applications to Gabor analysis. Monatshefte für Mathematik. Journal version BibTeX
  • Jakob Lemvig and Kamilla Haahr Nielsen (2016) Counterexamples to the B-spline conjecture for Gabor frames. J. Fourier Anal. Appl., 22(6):1440–1451 (appeared online March 2, 2016). Journal 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 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 BibTeX
  • Mads Sielemann Jakobsen and Jakobsen Lemvig (2016) Density and duality theorems for regular Gabor frames. J. Funct. Anal., 270(1):229–263. Journal version BibTeX
  • Marcin Bownik and Jakob Lemvig (2016) Wavelets for non-expanding dilations and the lattice counting estimate. Int. Math. Res. Not.. Journal version BibTeX
  • Marcin Bownik and Jakob Lemvig (2016) Wavelets for Non-expanding Dilations and the Lattice Counting Estimate. International Mathematics Research Notices, 2017(23):7264–7291. Journal version BibTeX
  • Ole Christensen, Marzieh Hasannasab (2016) Frame properties of systems arising via iterated actions of operators. (submitted, arXiv: 1704.08918, 2016). Journal version BibTeX
  • Stoeva, Diana T. and Christensen, Ole (2016) On various R-duals and the duality principle. Integral Equations Operator Theory, 84(4):577–590. Journal version BibTeX

2015 Publications

  • Diana T. Stoeva and Ole Christensen (2015) On R-duals and the duality principle in Gabor analysis. J. Fourier Anal. Appl., 21(2):383–400. Journal version BibTeX
  • 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 Journal version BibTeX
  • 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 Journal version BibTeX
  • Ole Christensen, Brigitte Forster and Peter Massopust (2015) Directional time--frequency analysis via continuous frames. Bull. Aust. Math. Soc., 92(2):268–281. Journal version BibTeX
  • Ole Christensen, Hong Oh Kim and Rae Young Kim (2015) On Gabor frames generated by sign-changing windows and B-splines. Appl. Comput. Harmon. Anal., 39(3):534–544. Journal version BibTeX
  • Ole Christensen, Hong Oh Kim and Rae Young Kim (2015) On entire functions restricted to intervals, partition of unities, and dual Gabor frames. Appl. Comput. Harmon. Anal., 38(1):72–86. Journal version BibTeX
  • Ole Christensen and Say Song Goh (2015) Fourier-like frames on locally compact abelian groups. J. Approx. Theory, 192:82–101. Journal version BibTeX

2014 Publications

  • Felix Krahmer, Gitta Kutyniok and Jakob Lemvig (2014) Sparse matrices in frame theory. Comput. Statist., 29:547–568. Journal version BibTeX
  • Jakob Lemvig, Christopher Miller and Kasso A. Okoudjou (2014) Prime tight frames. Adv. Comput. Math., 40:315–334. Journal version BibTeX
  • Ole Christensen (2014) Frames and extension problems I. In Fractals, wavelets, and their applications, 219–234. . Springer, Cham Journal version BibTeX
  • Ole Christensen (2014) Six (seven) problems in frame theory. In New perspectives on approximation and sampling theory, 337–358. . Birkhauser/Springer, Cham BibTeX
  • Ole Christensen (2014) A short introduction to frames, Gabor systems, and wavelet systems. Azerb. J. Math., 4(1):25–39. BibTeX
  • Ole Christensen, Hong Oh Kim and Rae Young Kim (2014) Frames and extension problems II. In Fractals, wavelets, and their applications, 235–243. . Springer, Cham Journal version BibTeX
  • Ole Christensen, Hong Oh Kim and Rae Young Kim (2014) On Parseval wavelet frames with two or three generators via the unitary extension principle. Canad. Math. Bull., 57(2):254–263. Journal version BibTeX
  • Ole Christensen and Say Song Goh (2014) From dual pairs of Gabor frames to dual pairs of wavelet frames and vice versa. Appl. Comput. Harmon. Anal., 36(2):198–214. Journal version BibTeX

2013 Publications

  • Felix Krahmer, Gitta Kutyniok and Jakob Lemvig (2013) Sparsity and spectral properties of dual frames. Linear Algebra Appl., 439(4):982–998. Journal version BibTeX
  • Lasse Hjuler Christiansen and Ole Christensen (2013) Construction of smooth compactly supported windows generating dual pairs of Gabor frames. Asian-Eur. J. Math., 6(1):1350011, 13. Journal version BibTeX
  • Ole Christensen and Elnaz Osgooei (2013) On frame properties for Fourier-like systems. J. Approx. Theory, 172:47–57. Journal version BibTeX
  • Ole Christensen, Hong Oh Kim and Rae Young Kim (2013) Regularity of dual Gabor windows. Abstr. Appl. Anal.. BibTeX
  • Ole Christensen, Hong Oh Kim and Rae Young Kim (2013) Extensions of Bessel sequences to dual pairs of frames. Appl. Comput. Harmon. Anal., 34(2):224–233. Journal version BibTeX
  • Ole Christensen, Xiang Chun Xiao and Yu Can Zhu (2013) Characterizing R-duality in Banach spaces. Acta Math. Sin. (Engl. Ser.), 29(1):75–84. Journal version BibTeX