Wavelet- und Frame-Theorie

• Applicant: Professorin Dr. Gitta Kutyniok
• Subject Area: Mathematics
• Term: from 2006 to 2009
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 33196854

• Final Report Year: 2009

Final Report Abstract

No abstract available

Publications

• Adaptive Directional Subdivision Schemes and Shearlet Multiresolution Analysis. arXiv:0710.2678v1 [math.NA], 2007
  Gitta Kutyniok, Tomas Sauer
  
• Shearlets: A Wavelet-Based Approach to the Detection of Directional Features. Oberwolfach Report 36 (2007), pp. 2113-2116.
  G Kutyniok, S. Dahlke, T. Sauer, G. Steidl, G. Teschke
  
• A Decomposition Theorem for frames and the Feichtinger Conjecture. Proceedings of the AMS, Vol. 136. 2008, pp. 2043-2053.
  P. G. Casazza, D. Speegle, J. C. Tremain, G. Kutyniok
  
• Analysis of lscr1 Minimization in the Geometric Separation Problem. 42nd Annual Conference on Information Sciences and Systems (CISS) (Princeton University NJ, 2008), 2008, pp. 274-279.
  L. Donoho, G. Kutyniok
  (See online at https://dx.doi.org/10.1109/CISS.2008.4558535)
• Beurling dimension of Gabor pseudo frames of affine subspaces. Journal of Fourier Analysis and Applications, Vol. 14. 2008, Issue 4, pp. 514-537.
  W. Czaja, D. Speegle, G. Kutyniok
  (See online at https://dx.doi.org/10.1007/s00041-008-9026-0)
• From Wavelets to Shearlets and back again. In: Approximation Theory XII {San Antonio, TX, 2007), M. Neamtu and L. Schumaker, eds., Modern Methods in Mathematics, 2008, pp. 201-209.
  T. Sauer, G. Kutyniok
  
• Fusion Frames and Robust Dimension Reduction. 42nd Annual Conference on Information Sciences and Systems (CISS) (Princeton University NJ, 2008), 2008, pp. 264-268.
  A. Pezeshki, A. R. Calderbank, G. Kutyniok
  (See online at https://dx.doi.org/10.1109/CISS.2008.4558533)
• Landau's necessary density conditions for LCA Groups. Journal of Functional Analysis, Vol. 255. 2008, Issue 7, pp. 1831–1850.
  Karlheinz Gröchenig, Gitta Kutyniok, Kristian Seip
  (See online at https://dx.doi.org/10.1016/j.jfa.2008.07.016)
• Modeling Sensor Networks with Fusion Frames. In Wavelets XII (San Diego, CA, 2007), D. Van De Villc, V. K. Goyal, and M. Papadakis, eds., 67011M, Proc. SPIE, Vol. 6701. 2007.
  P. G. Casazza, Shidong Li, Christopher J. Rozell, G. Kutyniok
  (See online at https://dx.doi.org/10.1117/12.730719)
• Robustness of Fusion Frames under Erasures of Subspaces and of Local Frame Vectors. In: Radon transforms, geometry, and wavelets. (New Orleans, LA, 2006), Contemporary Mathematics, Vol. 464. 2008, pp. 149-160.
  Peter G. Casazza, Gitta Kutyniok
  
• The uncertainty principle associated with the continuous shearlet transform. International Journal of Wavelets, Multiresolution and Information Processing, Vol. 6. 2008, Issue 2, pp. 157-181.
  S. Dahike, P. Maass, C. Sagiv, H.-G. Stark, G. Teschke, G. Kutyniok
  (See online at https://dx.doi.org/10.1142/S021969130800229X)
• Robust Dimension Reduction, Fusion Frames, and Grassmannian Packings. Applied and Computational Harmonic Analysis, Vol. 26. 2009, Issue 1, pp. 64–76.
  A. Pezeshki, A. R. Calderbank, T. Liu, G. Kutyniok
  (See online at https://dx.doi.org/10.1016/j.acha.2008.03.001)
• Shearlet coorbit spaces and associated Banach Frames. Applied and Computational Harmonic Analysis, Vol. 27. 2009, Issue 2, pp. 195–214.
  Stephan Dahlke, Gitta Kutyniok, Gabriele Steidl, Gerd Teschke
  (See online at https://dx.doi.org/10.1016/j.acha.2009.02.004)
• Microlocal Analysis of the Geometric Separation Problem. Communications on Pure and Applied Mathematics, Vol. 66. 2013, Issue 1, pp. 1–47.
  David Donoho1, Gitta Kutyniok
  (See online at https://doi.org/10.1002/cpa.21418)