Recent Publications

Books

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

  • Eds. P.G. Casazza, S.G. Krantz and R.D. Ruden, I, Mathematician, Mathematical Association of America Specrum Series (2015). Amazon, MAA
  • Excursions in Harmonic Analysis, vol.1, T.D. Andrews, R. Balan, J.J. Benedetto, W. Czaja, K.A. Okoudjou Eds., Birkhauser 2013.
  • Excursions in Harmonic Analysis, vol.2, T.D. Andrews, R. Balan, J.J. Benedetto, W. Czaja, K.A. Okoudjou Eds., Birkhauser 2013. 
  • Excursions in Harmonic Analysis, vol.3, R. Balan, M. Begue, J.J. Benedetto, W. Czaja, K.A. Okoudjou Eds., Birkhauser 2015. 
  • Excursions in Harmonic Analysis, vol.4, R. Balan, M. Begue, J.J. Benedetto, W. Czaja, K.A. Okoudjou Eds., Birkhauser 2015. 
  • Excursions in Harmonic Analysis, vol.5, R. Balan, J.J. Benedetto, W. Czaja, M. Dellatorre, K.A. Okoudjou Eds., Birkhauser to appear 2017.

2017

  • R. Balan, Stability of Phase Retrievable Framesto appear in the Houston Journal of Mathematics 2017. pdf
  • R. Balan, M. Begue, C. Clark, K. Okoudjou, Optimization methods for frame conditioning and application to graph Laplacian scaling, to appear in "Novel methods in harmonic analysis with applications to numerical analysis and data processing", Lecture Notes ANHA Series, I.Pesenson and all Eds., Birkhauser 2017. pdf

2016

  • R. Balan, Reconstruction of Signals from Magnitudes of Redundant Representation: The Complex Case, Apr. 2013, Foundations of Computational Mathematics, vol. 16(3), (2016) 677-721. pdf
  • R. Balan, Frames and Phaseless Reconstruction, AMS Short Course at the Joint Mathematics Meetings, San Antonio, January 2015, to appear in Proceedings of Symposia in Applied Mathematics, AMS 2016. pdf
  • R. Balan, D. Zou, On Lipschitz Analysis and Lipschitz Synthesis for the Phase Retrieval Problem, to appear in Linear Algebra and Applications, 2016. pdf
  • P.G. Casazza, A. Farzannia, J.I. Haas, T.T. Tran, Toward the classification of biangular harmonic frames, submitted, arXiv:1610.03142. pdf
  • P.G. Casazza, J.C. Tremain Partitioning Hadamard vectors into Hadamard matrices. pdf
  • T. Bemrose, P.G. Casazza, V. Kaftal, R. G. Lynch, The unconditional constants for Hilbert space frame expansions, submitted, arXiv:1602.03490. pdf
  • M. Fickus, J. Jasper, D.G. Mixon, J. Peterson Tremain equiangular tight frames, arXiv:1602.03490. pdf
  • J. Cahill, P.G. Casazza, I. Daubechies, Phase retrieval in infinite-dimensional Hilbert spaces, submitted. pdf
  • P.G. Casazza, J.I. Haas, Geometric and spectral properties of Grassmannian frames in C^2, submitted. pdf
  • M. Fickus, J. Jasper, D.G. Mixon, J.D. Peterson, C.E.Watson, Polyphase equiangular tight frames and abelian generalized quadrangles, submitted. pdf
  • T. Bemrose, P.G. Casazza, D. Cheng, J. Haas, H.V. Nguyen, Computing the distance between frames and between subspaces of a Hilbert space, submitted. pdf
  • B.G. Bodmann, J.I. Haas, Maximal orthoplectic fusion frames from mutually unbiased bases and block designs, submitted. pdf
  • M. Fickus, J. Jasper, D. G. Mixon, J. D. Peterson, C. E. Watson∗, Equiangular tight frames with centroidal symmetry, to appear in Appl. Comput. Harmon. Anal. pdf
  • M. Fickus, D. G. Mixon, J. Jasper, Equiangular tight frames from hyperovals, IEEE Trans. Inform. Theory. 62 (2016) 5225–5236. pdf
  • A. S. Bandeira∗ , M. Fickus, D. G. Mixon, J. Moreira∗, Derandomizing restricted isometries via the Legendre symbol, Constr. Approx. 43 (2016) 409–424.
  • M. Fickus, J. D. Marks, M. J. Poteet∗, A generalized Schur-Horn theorem and optimal frame completions, Appl. Comput. Harmon. Anal. 40 (2016) 505–528. pdf
  • J. W. Iverson, J. Jasper, D. G. Mixon, Optimal line packings from association schemes, arXiv:1609.09836. pdf
  • T. Iguchi, D. G. Mixon, J. Peterson, S. Villar, Probably certifiably correct k-means clustering, Math. Program., accepted pending minor revision. pdf
  • A. S. Bandeira, M. E. Lewis, D. G. Mixon, Discrete uncertainty principles and sparse signal processing, J. Fourier Anal. Appl., accepted pending minor revision. pdf
  • J. Cahill, D. G. Mixon, N. Strawn, Connectivity and irreducibility of algebraic varieties of finite unit norm tight frames, SIAM J. Appl. Algebra Geometry, to appear. pdf
  • A. S. Bandeira, D. G. Mixon, J. Moreira, A conditional construction of restricted isometries, Int. Math. Res. Notices, to appear.

2015

  • R. Balan, The Fisher Information Matrix and the CRLB in a Non-AWGN Model for the Phase Retrieval Problem, SampTA 2015, Washington DC, May 2015. pdf
  • R. Balan, D. Zou, On Lipschitz Inversion of Nonlinear Redundant Representations, Contemporary Mathematics 650, "Trends in Harmonic Analysis and Its Applications", 15-22, 2015. pdf
  • D.G. Mixon, J. Peterson, Learning Boolean functions with concentrated spectra, arXiv:1507.04319. pdf
  • P.G. Casazza, D. Freeman, R.G Lynch, Weaving Schauder Frames, submitted. pdf
  • P.G. Casazza, Xuemei Chen, Frame scalings: a condition number approach, submitted. pdf
  • P.G. Casazza, R.G. Lynch, A brief introduction to Hilbert space frame theory and its applications, submitted. pdf
  • T. Bemrose, P.G. Casazza, R.G. Lynch, The unconditional constants of frame expansions and cross-frame expansions, submitted. pdf
  • M. Bownik, P.G. Casazza, A.W. Marcus, D. Speegle, Improved bounds in Weaver and Feichtinger conjectures, submitted. pdf
  • S. Botelho-Andrade, P.G. Casazza, H.V. Nguyen, J.C. Tremain Phase retrieval versus phaseless reconstruction, submitted. pdf
  • J. Cahill, P.G. Casazza, J. Jasper, L.M. Woodland, Phase retrieval, submitted. pdf
  • K. Brewster, P.G. Casazza, E. Pinkham, L.M. Woodland, The distributions of Hilbert space frame vectors and frame coefficients, submitted. pdf
  • L. Grafakos, R. G. Lynch, Off-diagonal multilinear interpolation between adjoint operators, Commentationes Mathematicae. pdf
  • D. Edidin, Projections and Phase Retrieval, arXiv:1506.00674. pdf
  • M. Fickus, D.G. Mixon, Tables of the existence of equiangular tight frames, arXiv:1504.00253. pdf
  • P.G. Casazza, R.G. Lynch, J. Tremain, Unconditional convergence constants of Hilbert space frame expansions, SampTA. pdf
  • T. Bemrose, P.G. Casazza, K. Gröchenig, M.C. Lammers, R.G. Lynch, Weaving frames, (submitted). pdf
  • P.G. Casazza, R.G. Lynch, Weaving properties of Hilbert space frames, SampTA. pdf
  • B.G. Bodmann, J.I. Haas, Frame potentials and the geometry of frames,J. Fourier Anals. (2015). pdf
  • B.G. Bodmann, J.I. Haas, Achieving the orthoplex bound and constructing weighted complex projective 2-designs, submitted. pdf
  • M. Fickus, D. G. Mixon, M. Lewis∗ , J. Peterson, Compressive hyperspectral imaging for stellar spectroscopy, IEEE Signal Process. Lett. 22 (2015) 1829–1833.
  • M. Fickus, J. Jasper, D. G. Mixon, J. Peterson, Group-theoretic constructions of erasure-robust frames, Linear Algebra Appl. 479 (2015) 131–154. pdf
  • R. Balan, Y. Wang, Invertibility and Robustness of Phaseless Reconstruction, Appl. Comp. Harm. Anal. vol. 38, no. 3, (2015) 469-488. pdf

2014

  • R. Balan, J.G. Christensen, I.A. Krishtal, K.A. Okoudjou, J.L. Romero, Multi-window Gabor frames in amalgam space, Math. Res. Lett., vol. 21, no. 1, (2014) 55-69. pdf
  • M. Fickus, J. Marks, M.J. Poteet, A generalized Schur-Horn theorem and optimal frame completions, arXiv:1408.2882. 
  • Y. Lonke, Extensions of pure states and the Laurent operator, M.Sc. Thesis, Hebrew University at Jerusalem - translated from Hebrew to English for the first time. pdf
  • P.G. Casazza, E. Pinkham, B. Tuomanen, Riesz outer product Hilbert space frames: Quantitative bounds, topological properties, and full geometric characterization, (submitted). pdf
  • S. Bahmanpour, J. Cahill, P.G. Casazza, J. Jasper, L.M. Woodland, Phase retrieval and norm retrieval, Contemp. Math. (submitted). pdf
  • M. Caspers, S. Montgomery-Smith, D. Potapov, F. Sukochev, The best constants for operator Lipschitz functions on Schatten classes, J. Four. Anals. (2014). pdf
  • S. Montgomery-Smith, Hamiltonians representing equations of motion with damping due to friction, Electron. J. Diff. Equ. 2014 No. 89 (2014) 1-10. pdf
  • S. Montgomery-Smith, Non-linear instability of periodic orbits of suspensions of thin fibers in fluids, submitted. pdf
  • A. Conca, D. Edidin, M. Hering, C. Vinzant, An algebraic characterization of injectivity in phase retrieval, Appl. Comput. Harmon. Anal. in press (2014). pdf
  • J. C. Tremain, Intelligence, creativity and conformity, To appear: MAA Publication: I, Mathematician. pdf For the extended version see: pdf
  • P.G. Casazza, J.C. Tremain, Consequences of the Marcus/Spielman/Srivastava solution of the Kadison-Singer problem, arXiv:1407:4768. pdf
  • B. Bodmann, G. Kutyniok, X. Zhuang, Gabor shearlets, Appl. Comput. Harmon. Anal. in press (2014). pdf
  • S. Li, Y. Liu, T. Mi, Fast thresholding algorithms with feedbacks for sparse signal recovery, Appl. Comput. Harmon. Anal. 37 No. 1 (2014) 69-88. pdf
  • D. Ellis, E. Hayashi, S. Li, Tight and full spark Chebyshev frames with real entries and worst-case coherence analysis, submitted.
  • S. Li, C. Zheng, A fast and super resolution method in DOA estimation under severe noise, submitted.
  • P.G. Casazza and L.M. Woodland, The fundamentals of Spectral Tetris frame constructions , submitted. pdf
  • J. Jasper, D.G. Mixon, M. Fickus, Kirkman equiangular tight frames and codes, IEEE Trans. Inform. Theory. 60 (2014) 170-181. pdf
  • B. Alexeev, A.S. Bandeira, M. Fickus, D.G. Mixon, Phase retrieval with polarization , SIAM J. Imaging Sci. 7 (2014) 35-66. pdf
  • R. Bhagavatula∗ , M. T. McCann∗ , M. Fickus, C. A. Castro, J. A. Ozolek, J. Kovacevi ˇ c, A vocabulary for the identification and delineation of teratoma tissue components in hematoxylin and eosin-stained samples, J. Pathol. Inform. 5 (2014) 1–19.
  • M. T. McCann∗ , D. G. Mixon, M. Fickus, C. A. Castro, J. A. Ozolek, J. Kovacevi ˇ c, Images as occlusions of textures: a framework for segmentation, IEEE Trans. Image Process. 23 (2014) 2033–2046.
  • M. Fickus, D. G. Mixon, A. A. Nelson∗ , Y. Wang, Phase retrieval from very few measurements, Linear Algebra Appl. 449 (2014) 475–499. pdf
  • L. N. Smith∗ , M. Fickus, Determining angular frequency from video with a generalized fast Fourier transform, Adv. Comput. Math. 40 (2014) 27–47.
  • A. S. Bandeira, J. Cahill, D. G. Mixon, A. A. Nelson, Saving phase: Injectivity and stability for phase retrieval, Appl. Comput. Harmon. Anal. 37 (2014) 106–125. pdf
  • A. S. Bandeira, Y. Chen, D. G. Mixon, Phase retrieval from power spectra of masked signals, Inform. Inference 3 (2014) 83–102.

2013

  • S. Montgomery-Smith, W. Huang, A numerical method to model dynamic behavior of thin inextensible elastic rods in three dimensions, J. Comput. Nonlinear Dynam. 9 No. 1 (2013). pdf
  • S. Montgomery-Smith, H. Morgan, Obtaining laws of thermodynamics for ideal gases using elastic collisions, submitted. pdf
  • D. Edidin, A. Geraschenko, M. Satriano, There is no degree map for 0-cycles on Artin stacks, Trans. Groups, 18 No. 2 (2013) 385-389. pdf
  • B. Bodmann, Random fusion frames are nearly equiangular and tight, Lin. Alg. Appls. 439 No. 5 (2013) 1401-1414. pdf
  • B. Bodmann, P. Singh Random fusion frames for loss-insensitive packet encoding, Proc. SPIE 8858, Wavelets and Sparsity XV, 88580F/1-12, 2013.
  • S. Li, Y. Liu, T. Mi, Sparse dual frames and dual Gabor functions of minimal time and frequency supports, J. Four. Anals. Appls. 19 No. 1 (2013) 48-76. pdf
  • A.S. Bandeira, M. Fickus, D.G. Mixon, P. Wong, The road to deterministic matrices with the Restricted Isometry Property , J. Fourier Anal. Appl. 19 (2013) 1123-1149. pdf
  • M. Fickus, D.G. Mixon, M.J. Poteet, N. Strawn, Constructing all self-adjoint matrices with prescribed spectrum and diagonal , Adv. Comput. Math. 39 (2013) 585-609. pdf
  • J. Cahill, M. Fickus, D.G. Mixon, M.J. Poteet, N. Strawn, Constructing finite frames of a given spectrum and set of lengths , Appl. Comput. Harmon. Anal. 35 (2013) 52-73. pdf
  • P.G. Casazza and L.M. Woodland, Phase retrieval by vectors and projections, Contemporary Math. (to appear). pdf
  • J. Cahill, P.G. Casazza, M. Ehler, S. Li, Tight and random nonorthogonal fusion frames, submitted. pdf
  • J. Cahill, P.G. Casazza, J. Peterson, L.M. Woodland, Using projections for phase retrieval, in Wavelets and Sparsity XV, Dimitri Van De Ville; Vivek K. Goyal; Manos Papadakis, Editors, Proceedings of SPIE Vol. 8858 (SPIE, Bellingham, WA 2013), 88581W. pdf
  • P.G. Casazza, R.G. Lynch, J. Tremain, L.M. Woodland, Integer frames, Houston Journal of Math. (to appear). pdf
  • J. Cahill, P.G. Casazza, J. Peterson, L.M. Woodland, Phase retrieval by projections, Houston Journal of Math. (to appear). pdf
  • J. Cahill, X. Chen, A note on scalable frames, submitted. pdf
  • P. G. Casazza, M. Fickus, D. Mixon, J. Peterson and I. Smalyanau, Every Hilbert space frame has a Naimark complement, J. Math. Anal. Appl. 406 (2013) 111-119. pdf

2012

  • P. Casazza, G. Pfander, Analyzing the algorithm for proving the restricted invertibility theorem, 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
  • 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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