Abstract Frame Theory

  • M. Fickus, J. Jasper. D. Mixon, J. Peterson, Group-theoretic constructions of erasure-robust frames, submitted. pdf
  • P. G. Casazza, The simplified version of the Spielman-Srivastava algorithm for proving the Bourgain-Tzafriri restricted invertibility theorem, unpublished notes. pdf
  • P. C. Casazza, D. Speegle, Spanning and independence properties of finite frames, in Finite Frames: Theory and Applications, Eds. P. G. Casazza and G. Kutyniok, Birkhäuser, Boston (2012). pdf
  • P. C. Casazza, The Kadison-Singer and Paulsen problems in finite frame theory, in Finite Frames: Theory and Applications, Eds. P. G. Casazza and G. Kutyniok, Birkhäuser, Boston (2012). pdf
  • J. Cahill, N. Strawn, Algebraic geometry and finite frames, in Finite Frames: Theory and Applications, Eds. P. G. Casazza and G. Kutyniok, Birkhäuser, Boston (2012). pdf
  • J. C. Tremain, C. Vaidyanathan, An elementary representation of all real Hessenberg unitary matrices, preprint (2012). pdf
  • P. C. Casazza, A. Heinecke, K. Kornelson, Y. Wang, Z. Zhou, Necessary and sufficient conditions to perform spectral tetris, preprint (2012). pdf
  • P. C. Casazza, J. Peterson, An elementary, illustrative proof of the Rado-Horn theorem, preprint (2012). pdf
  • J. Cahill, P. C. Casazza, G. Kutyniok, Operators and frames, preprint (2012). pdf
  • B. Alexeev, J. Cahill, D. G. Mixon, Full spark frames, preprint (2011). pdf
  • P. G. Casazza, M. Fickus, D. Mixon, J. Peterson and I. Smalyanau, Every Hilbert space frame has a Naimark complement, preprint (2011). pdf
  • J. C. Tremain, Algorithmic constructions of unitary matrices and tight frames, preprint (2011). pdf
  • J. Cahill and P. G. Casazza, The Paulsen problem in operator theory, submitted to Operators and Matrices (2011). pdf
  • P. G. Casazza, M. Fickus and D. G. Mixon, Auto-tuning unit norm frames, Appl. Comput. Harmon. Anal. 32 (2012), p 1-15. pdf
  • J. Cahill, M. Fickus, D. G. Mixon, M. J. Poteet and N. K. Strawn, Constucting finite frames of a given spectrum and set of lengths, submitted (2011). pdf
  • B. G. Bodmann, P. G. Casazza and G. Kutyniok, A Quantitative Notion of Redundancy for Finite Frames, Appl. and Comput. Harmonic Anal. 30 (2011) 348-362. pdf
  • P. G. Casazza, A. Heinecke, F. Krahmer and G. Kutyniok, Optimally Sparse Frames, IEEE Trans. Inform. Theory 57 (2011), 7279-7287. pdf
  • J. Cahill, P. G. Casazza and A. Heinecke, A notion of redundancy for infinite frames, Proceedings of SampTA 2011, Singapore. pdf
  • B. G. Bodmann, P. G. Casazza and G. Kutyniok, A quantitive notion of redundancy and its applications, Proceedings of SampTA 2011, Singapore. pdf
  • P.G. Casazza and M. Leon, Existence and Construction of Finite Frames with a Given Frame Operator, International Journal of Pure and Applied Mathematics, Vol. 63, No. 2 (2010), p. 149 - 158. pdf
  • B. G. Bodmann, P. G. Casazza, V. I. Paulsen and D. Speegle, Spanning and independence properties of frame partitions, Proceedings of AMS 140, No. 7 (2012), p. 2193 - 2207. pdf
  • B. G. Bodmann and P. G. Casazza, The road to equal-norm Parseval frames. Journal of Functional Analysis, Vol. 258 (2010) p. 397-420. pdf
  • B. G. Bodmann, P. G. Casazza and G. Kutyniok, Upper and Lower Redundancy of Finite Frames. 43nd Annual Conference on Information Sciences and Systems (CISS) (Princeton University, NJ, 2010). pdf
  • P.G. Casazza and M. Fickus, Gradient descent of the frame potential, Proc. Sampl. Theory Appl. (2009). pdf
  • B. Bodmann and P.G. Casazza, When are frames close to equal-norm Parseval frames?, preprint (2009). pdf
  • P.G. Casazza, S. Obeidat, S. Samarah and J.C. Tremain, Sums of Hilbert Space Frames, J. Math. Analysis and Appl. Vol. 351, Issue 2 (2009), 579-585. pdf
  • P.G. Casazza and N. Leonhard, The Known Equal Norm Parseval Frames as of 2005, Preprint. pdf
  • P.G. Casazza and N. Leonhard, Classes of Finite Equal Norm Parseval Frames, Contemp. Math. 451 (2008) 11-31. pdf
  • R. Balan, P.G. Casazza, C. Heil and Z. Landau, Excess of Parseval Frames, Proceedings of SPIE, Vol. 5914 (2005) 591406 (1-7). pdf
  • P.G. Casazza, G. Kutyniok and D. Speegle, A Redundant Version of the Rado-Horn Theorem, Linear Algebra and Applications, 418 (2006) 1-10. pdf
  • R. Balan, P.G. Casazza, C. Heil and Z. Landau, Density, Overcompleteness and Localizations of Frames, I. Theory, Journal of Fourier Analysis and Applications, Vol. 12 No. 2 (2006) 105-143. pdf
  • R. Balan, P.G. Casazza, D. Edidin and G. Kutyniok, A New Frame Identity for Parseval Frames, Proceedings AMS, 135 No. 4 (2007) 1007-1015. pdf
  • R. Balan, P.G. Casazza, D. Edidin and G. Kutyniok, Decompositions of Frames and a new Frame Identity, Proceedings of SPIE, Vol. 5914 (2005) 591417 (1-10). pdf
  • P.G. Casazza, O. Christensen, S. Li, and A. Lindner, Density Results for Frames of Exponentials, in Harmonic Analysis and Applications-in Honor of John Benedetto, C. Heil Ed., Birkhauser, (2006) 359-370. pdf
  • P.G. Casazza and G. Kutyniok, A Generalization of Gram Schmidt Orthogonalization Generating all Parseval Frames, Advances in Computational Mathematics, 18 (2007) 65-78. pdf
  • R. Balan, P.G. Casazza, C. Heil and Z. Landau, Density, Overcompleteness, and Localization of Frames, AMS Electronic Research Announcements, Vol. 12 (2006) 71-86. pdf
  • P.G. Casazza and M. Leon, Projections of Frames, Proceedings of SPIE, Vol. 5914 (2005) pp. 591402 (1-8). pdf
  • P.G. Casazza and M.T. Leon, Path Connectedness of the Wavelet Transform, (Submitted, 10 pages). pdf
  • P.G. Casazza, M.C. Fickus, J. Kovacevic, M.T. Leon and J.C. Tremain, Physical Laws Governing Finite Tight Frames, Proceedings of SPIE, wavelets: Applications in signal and image processing X, M.A. Unser, A. Aldroubi, and A.F. Laine, editors. San Diego, 2003. Vol. 5207 pp. 371-380. pdf
  • P.G. Casazza, G. Kutyniok and M.C. Lammers, Duality Principles in Frame Theory, Journal of Fourier Analysis and Applications, Vol. 10 (2004) pp. 383-408. pdf
  • P.G. Casazza, Custom Building Finite Frames, Comtemporary Math. Vol. 345 (2004) pp. 61-86. pdf
  • P.G. Casazza and M. Leon, Existence and Construction of Finite Tight Frames, Journal of Computational and Applied Mathematics, Vol. 4 No. 3 (2006) 277-289. pdf
  • P.G. Casazza, M. Fickus, J. Kovacevic, M. Leon and J.C. Tremain, A Physical Interpretation for Finite Tight Frames, in Harmonic Analysis and Applications (In Honor of John Benedetto), C. Heil, Ed. Birkhauser (2006) 51-78. pdf
  • R. Balan, P.G. Casazza, C. Heil and Z. Landau, Deficits and Excesses of Frames, Advances in Computational Mathematics Vol. 18, Nos. 2-4 (2003) pp.93-116. pdf
  • P.G. Casazza and J. Kovacevic, Uniform Tight Frames with Erasures, Advances in Computational Mathematics Vol. 18, Nos. 2-4 (2003) pp. 387-430. pdf
  • P.G. Casazza, O. Christensen, S. Li, and A. Linder, Riesz-Fischer Sequences and Lower Frame Bounds, Journal for Analysis and its Applications, vol 21 No.2 (2002) 305-314. pdf
  • P.G. Casazza, O. Christensen, and N.J. Kalton, Frames of Translates, Collect. Math. 52,1 (2001) 35-54. pdf
  • P.G. Casazza and O. Christensen, Approximation of the Frame Coefficients using Finite-Dimensional Methods, Journal of Approximation Theory, 103 (2000) 338-356. pdf
  • P.G. Casazza, The Art of Frame Theory, Taiwanese Journal of Math., Vol 4 (2) (2000) 129-202. pdf
  • P.G. Casazza, Every Frame is a Sum of Three (but not two) Orthonormal Bases and Other Frame Representations, Journal of Fourier Analysis and Applications, vol. 4 no. 6 (1998) p.727-732. pdf
  • P.G. Casazza and O. Christensen, Frames Containing a Riesz Basis and Preservation of this Property under Pertubations, SIAM Journal on Math Analysis, Vol. 29, No. 1 (1998) p. 266-278. pdf
  • P.G. Casazza and O. Christensen, Riesz Frames and Finite Dimensional Approaches to Problems in Frame Theory, Journal of Approximation Theory and its Applications 101 (1998). pdf
  • P.G. Casazza and O. Christensen, Approximation of the Frame Coefficients using Finite-Dimensional Methods, Journal of Electronic Imaging, special Volume 1997, "Best Papers in Electronic Imaging", Vol. 6, No. 4 (1997) p. 479-483. pdf
  • P.G. Casazza, Characterizing Hilbert Space Frames with the Subframe Property, Illinois Journal of Mathematics, Vol. 41, No. 4 (1997) p.648-666. pdf
  • P.G. Casazza and Ole Christensen, Pertubation of Operators and Applications to Frame Theory, Journal of Fourier Analysis and Applications, Vol. 3, No. 5 (1997) p. 543-557. pdf
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