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Introduction to Finite Frame Theory - Frame Research Center

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<strong>Introduction</strong> <strong>to</strong> <strong>Finite</strong> <strong>Frame</strong> <strong>Theory</strong> 47<br />

34. E. J. Candès, J. Romberg, and T. Tao, Robust uncertainty principles: Exact signal reconstruction<br />

from highly incomplete frequency information, IEEE Trans. Inf. <strong>Theory</strong> 52 (2006),<br />

489–509.<br />

35. P.G. Casazza, Modern <strong>to</strong>ols for Weyl-Heisenberg (Gabor) frame theory Adv. Imag. Elect.<br />

Phys. 115 (2000), 1–127.<br />

36. P.G. Casazza, The art of frame theory, Taiwan J. Math. 4 (2000), 129–201.<br />

37. P.G. Casazza, Cus<strong>to</strong>m building finite frames, in Wavelets, frames and opera<strong>to</strong>r theory. Papers<br />

from the Focused <strong>Research</strong> Group Workshop, University of Maryland, College Park, MD,<br />

USA, January 15-21, 2003. Providence, RI: American Mathematical Society (AMS). Contemp.<br />

Math. 345 (2004), 61–86.<br />

38. P.G. Casazza and O. Christensen, Perturbation of opera<strong>to</strong>rs and applications <strong>to</strong> frame theory,<br />

J. Fourier Anal. Appl. 3 (1997), 543–557.<br />

39. P.G. Casazza and O. Christensen, <strong>Frame</strong>s containing a Riesz basis and preservation of this<br />

property under perturbations, SIAM J. Math. Anal. 29 (1998), 266–278.<br />

40. P.G. Casazza and O. Christensen, The reconstruction property in Banach spaces and a perturbation<br />

theorem, Canad. Math. Bull. 51 (2008), 348–358.<br />

41. P.G. Casazza, O. Christensen, and M.C. Lammers, Perturbations of Weyl-Heisenberg frames,<br />

Hokkaido Math. J. 31 (2002), 539–553.<br />

42. P.G. Casazza, O. Christensen, A. Lindner, and R. Vershynin, <strong>Frame</strong>s and the Feichtinger<br />

conjecture, Proc. Amer. Math. Soc. 133 (2005), 1025–1033.<br />

43. P.G. Casazza and M. Fickus, Minimizing fusion frame potential, Acta. Appl. Math. 107<br />

(2009), 7–24.<br />

44. P.G. Casazza, M. Fickus, A. Heinecke, Y. Wang, and Z. Zhou, Spectral tetris fusion frame<br />

constructions, J. Fourier Anal. Appl., <strong>to</strong> appear.<br />

45. P.G. Casazza, M. Fickus, J. Kovačević, M. Leon, and J.C. Tremain, A physical interpretation<br />

for finite tight frames, in Harmonic Analysis and Applications (In honor of John Benedet<strong>to</strong>),<br />

C. Heil, Ed. Birkhaüser (2006), 51–76.<br />

46. P.G. Casazza, M. Fickus, and D. Mixon, Au<strong>to</strong>-tuning unit norm frames, Appl. Comput. Harmon.<br />

Anal., <strong>to</strong> appear.<br />

47. P.G. Casazza, M. Fickus, D. Mixon, Y. Wang, and Z. Zhou, Constructing tight fusion frames,<br />

Appl. Comput. Harmon. Anal. 30 (2011), 175–187.<br />

48. P.G. Casazza, M. Fickus, D. Mixon, Y. Wang, and Z. Zhou, Constructing tight fusion frames,<br />

Appl. Comput. Harmon. Anal. 30 (2011), 175–187.<br />

49. P.G. Casazza, M. Fickus, J.C. Tremain, and E. Weber, The Kadison-Singer Problem in mathematics<br />

and engineering - A detailed account, in Opera<strong>to</strong>r <strong>Theory</strong>, Opera<strong>to</strong>r Algebras and<br />

Applications. Proceedings of the 25th Great Plains Opera<strong>to</strong>r <strong>Theory</strong> Symposium, University<br />

of Central Florida, FL, USA, June 712, 2005. Providence, RI: American Mathematical Society<br />

(AMS). Contemp. Math. 414 (2006), 297–356.<br />

50. P. G. Casazza, A. Heinecke, F. Krahmer, and G. Kutyniok, Optimally Sparse <strong>Frame</strong>s, IEEE<br />

Trans. Inform. <strong>Theory</strong> 57 (2011), 7279–7287.<br />

51. P.G. Casazza and J. Kovačević, Equal-norm tight frames with erasures, Adv. Comput. Math.<br />

18 (2003), 387–430.<br />

52. P.G. Casazza and G. Kutyniok, <strong>Frame</strong>s of subspaces, in Wavelets, <strong>Frame</strong>s and Opera<strong>to</strong>r<br />

<strong>Theory</strong>. Papers from the Focused <strong>Research</strong> Group Workshop, University of Maryland, College<br />

Park, MD, USA, January 15-21, 2003. Providence, RI: American Mathematical Society<br />

(AMS). Contemp. Math. 345 (2004), 87–113.<br />

53. P.G. Casazza and G. Kutyniok, Robustness of fusion frames under erasures of subspaces<br />

and of local frame vec<strong>to</strong>rs, in Radon Transforms, Geometry, and Wavelets. Providence, RI:<br />

American Mathematical Society (AMS). Contemp. Math. 464 (2008), 149–160.<br />

54. P.G. Casazza, G. Kutyniok, and S. Li, Fusion <strong>Frame</strong>s and Distributed Processing, Appl. Comput.<br />

Harmon. Anal. 25 (2008), 114–132.<br />

55. P.G. Casazza, G. Kutyniok, and D. Speegle, A redundant version of the Rado-Horn Theorem,<br />

Linear Algebra Appl. 418 (2006), 1–10.<br />

56. P.G. Casazza, G. Kutyniok, and D. Speegle, A decomposition theorem for frames and the<br />

Feichtinger Conjecture, Proc. Amer. Math. Soc. 136 (2008), 2043–2053.

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