Recent Publications

Book

  • Eds. P. G. Casazza and G. Kutyniok, Finite Frames: Theory and Applications, Birkhäuser, Boston (2012). amazon

2013

  • J. Jasper, D.G. Mixon, M. Fickus, Kirkman Equiangular Tight Frames and Codes, submitted. pdf
  • J. Cahill, P.G. Casazza, J. Peterson, L.Woodland, Real Phase Retrieval by Projections, submitted. pdf
  • A. Bandeira, J. Cahill, D. Mixon, A. Nelson, Saving phase: Injectivity and stability for phase retrieval, submitted. pdf
  • J. Cahill, X. Chen, A note on scalable frames, submitted. pdf

2012

  • P. Casazza, G. Pfander, Analyzing the algorithm for proving the restricted invertibility theorem, submitted. pdf
  • 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version of the Spielman-Srivastava algorithm for proving the Bourgain-Tzafriri restricted invertibility theorem, unpublished notes.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. G. Casazza, G. Kutyniok, Introduction to finite frame theory, in Finite Frames: Theory and Applications, Eds. P. G. Casazza and G. Kutyniok, Birkhäuser, Boston (2012). pdf
  • P. G. Casazza, G. Kutyniok, Fusion frames, in Finite Frames: Theory and Applications, Eds. P. G. Casazza and G. Kutyniok, Birkhäuser, Boston (2012). pdf
  • P. G. 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. G. 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, Intelligence, creativity and conformity, preprint (2012). pdf
  • J. C. Tremain, C. Vaidyanathan, An elementary representation of all real Hessenberg unitary matrices, preprint (2012). pdf
  • P. G. Casazza, A. Heinecke, K. Kornelson, Y. Wang, Z. Zhou, Necessary and sufficient conditions to perform spectral tetris, preprint (2012). pdf
  • P. G. Casazza, J. Peterson, Weighted fusion frame construction via spectral tetris, preprint (2012). pdf
  • P. G. Casazza, J. Peterson, An elementary, illustrative proof of the Rado-Horn theorem, Linear Algebra and its Applications 437 (2012) 2523-2537. pdf
  • J. Cahill, P. G. Casazza, G. Kutyniok, Operators and frames, preprint (2012). 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
  • P. G. Casazza, M. Fickus, A. Heinecke, Y. Wang and Z. Zhou, Spectral tetris fusion frame constructions, Jour. Fourier Anal. and Appls. 18 No. 4 (2012) 828-851. pdf

2011

  • B. Alexeev, J. Cahill, D. G. Mixon, Full spark frames, preprint (2011). pdf
  • B. G. Bodmann, J. Cahill, P. G. Casazza, Fusion frames and the restricted isometry property, preprint (2011). pdf
  • M. Fickus, D. G. Mixon, J. C. Tremain, Constructing a large family of equiangular tight frames, Proceedings of SampTA 2011, Singapore. pdf
  • B. G. Bodmann, P. G. Casazza, J. Peterson, I. Smalyanau, Fusion frames and unbiased basic sequences, 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, A. Heinecke, F. Krahmer and G. Kutyniok, Optimally Sparse Frames, IEEE Trans. Inform. Theory 57 (2011), 7279-7287. 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
  • P. G. Casazza, A. Heinecke and G. Kutyniok, Optimally sparse fusion frames: Existence and construction, Proceedings of SampTA 2011, Singapore. 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, M. Fickus, D. Mixon, Y. Wang and Z. Zhou, Constructing tight fusion frames, Appl. Comput. Harmon. Anal. 30 (2011) 175-187. 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
  • R. Calderbank, P. G. Casazza, A. Heinecke, G. Kutyniok and A. Pezeshki, Sparse Fusion Frames: Existence and Construction. Advances in Computational Mathematics, 35 No. 1 (2011) pp. 1-31. pdf

2010

  • J. Cahill, P. G. Casazza and S. Li, Non-orthogonal fusion frames and the sparsity of fusion frame operators, submitted to JFAA. pdf
  • M. Fickus, D. G. Mixon and J. C. Tremain, Steiner equiangular tight frames, preprint submitted to Linear Algebra and Applications (2010). 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, 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
  • J. Cahill, P.G. Casazza and A. Heinecke, A quantitative notion of redundancy for infinite frames, preprint (2010). pdf
  • P. G. Casazza, M. Fickus, D.G. Mixon and J.C. Tremain, The Bourgain-Tzafriri conjecture and concrete constructions of non-pavable projections, submitted to: Operators and Matrices (2010). 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
  • 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

2009

  • J.C. Tremain, Concrete Constructions of Real Equiangular Line Sets, preprint (2009). pdf
  • J.C. Tremain, Concrete Constructions of Equiangular Line Sets II, preprint (2009). pdf
  • J.C. Tremain, The Bourgain-Tzafriri Conjecture for Operators with Small Coefficients, preprint (2009). pdf
  • R. Calderbank, P. G. Casazza, A. Heinecke, G. Kutyniok and A. Pezeshki, Constructing Fusion Frames with Desired Parameters. Wavelets XIII (San Diego, CA, 2009), 744612-1 - 744612-10, SPIE Proc. 7446, SPIE, Bellingham, WA, 2009. pdf
  • B. Bodmann and P.G. Casazza, When are frames close to equal-norm Parseval frames?, preprint (2009). pdf
  • P.G. Casazza, M. Fickus, D. Mixon and J.C. Tremain, Concrete Constructions of Non-Pavable Projections, preprint (2009). pdf
  • P.G. Casazza, M. Fickus, D. Mixon, Y.Wang and Z. Zhou, Constructions and existence of tight fusion frames, Proc. SPIE. 7446 (2009) 744613/1-10. pdf
  • B. Bodmann, P.G. Casazza, G. Kutyniok and S. Senger, A Low Complexity Replacement Scheme for Erased Frame Coefficients, Wavelets XIII (San Diego, CA, 2009), 74460O-1 - 74460O-10, SPIE Proc. 7446, SPIE, Bellingham, WA, 2009. pdf
  • P.G. Casazza and G.E. Pfander, Infinite Dimensional Restricted Invertibility, preprint. pdf
  • B. Bodmann, P.G. Casazza, G. Kutyniok and S. Senger, Error Correction for Erasures of Quantized Frame Coefficients, SampTA'09 (Marseille, France, 2009), Proc., 2009. pdf
  • P.G. Casazza and M. Fickus, Gradient descent of the frame potential, Proc. Sampl. Theory Appl. (2009). pdf
  • R. Balan, P. Casazza and Z. Landau, Redundancy for localized and Gabor frames, preprint. pdf
  • P.G. Casazza and M. Fickus, Minimizing Fusion Frame Potential, Acta Applicandae Mathematicae, Volume 107, Numbers 1-3 (2009), pp. 7-24. pdf
  • P.G. Casazza and J.C. Tremain, Revisiting the Bourgain-Tzafriri Restricted Invertibility Theorem, Operators and Matrices, Vol. 3, No. 1 (2009), 97-110. 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, A Mathematician's Survival Guide, preprint. pdf
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