# Abstract Frame Theory

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Group-theoretic constructions of erasure-robust frames M. Fickus, J. Jasper. D. Mixon, J. Peterson, |

Spanning and independence properties of finite frames P. C. Casazza, D. Speegle, |

The simplified version of the Spielman-Srivastava algorithm for proving the Bourgain-Tzafriri restricted invertibility theorem P. G. Casazza, |

The Kadison-Singer and Paulsen problems in finite frame theory P. C. Casazza, |

Algebraic geometry and finite frames J. Cahill, N. Strawn, |

An elementary representation of all real Hessenberg unitary matrices J. C. Tremain, C. Vaidyanathan, |

Necessary and sufficient conditions to perform spectral tetris P. C. Casazza, A. Heinecke, K. Kornelson, Y. Wang, Z. Zhou, |

An elementary, illustrative proof of the Rado-Horn theorem P. C. Casazza, J. Peterson, |

Operators and frames J. Cahill, P. C. Casazza, G. Kutyniok, |

Auto-tuning unit norm frames P. G. Casazza, M. Fickus and D. G. Mixon, |

Spanning and independence properties of frame partitions B. G. Bodmann, P. G. Casazza, V. I. Paulsen and D. Speegle, |

Full spark frames B. Alexeev, J. Cahill, D. G. Mixon, |

Every Hilbert space frame has a Naimark complement P. G. Casazza, M. Fickus, D. Mixon, J. Peterson and I. Smalyanau, |

Algorithmic constructions of unitary matrices and tight frames J. C. Tremain, |

The Paulsen problem in operator theory J. Cahill and P. G. Casazza, |

Constructing finite frames of a given spectrum and set of lengths J. Cahill, M. Fickus, D. G. Mixon, M. J. Poteet and N. K. Strawn, |

A Quantitative Notion of Redundancy for Finite Frames B. G. Bodmann, P. G. Casazza and G. Kutyniok, |

Optimally Sparse Frames P. GP. G. Casazza, A. Heinecke, F. Krahmer and G. Kutyniok, |

A notion of redundancy for infinite frames J. Cahill, P. G. Casazza and A. Heinecke, |

A quantitive notion of redundancy and its applications B. G. Bodmann, P. G. Casazza and G. Kutyniok, |

Existence and Construction of Finite Frames with a Given Frame Operator P.G. Casazza and M. Leon, |

The road to equal-norm Parseval frames B. G. Bodmann and P. G. Casazza, |

Upper and Lower Redundancy of Finite Frames B. G. Bodmann, P. G. Casazza and G. Kutyniok, |

When are frames close to equal-norm Parseval frames? B. Bodmann and P.G. Casazza, |

Sums of Hilbert Space Frames P.G. Casazza, S. Obeidat, S. Samarah and J.C. Tremain, |

Sums of Hilbert Space Frames P.G. Casazza, S. Obeidat, S. Samarah and J.C. Tremain, |

Gradient descent of the frame potential P.G. Casazza and M. Fickus, |

Classes of Finite Equal Norm Parseval Frames P.G. Casazza and N. Leonhard, |

A New Frame Identity for Parseval Frames R. Balan, P.G. Casazza, D. Edidin and G. Kutyniok, |

A Generalization of Gram Schmidt Orthogonalization Generating all Parseval Frames P.G. Casazza and G. Kutyniok, |

A Redundant Version of the Rado-Horn Theorem P.G. Casazza, G. Kutyniok and D. Speegle, |

Density, Overcompleteness and Localizations of Frames, I. Theory R. Balan, P.G. Casazza, C. Heil and Z. Landau, |

Density Results for Frames of Exponentials P.G. Casazza, O. Christensen, S. Li, and A. Lindner, |

Density, Overcompleteness, and Localization of Frames R. Balan, P.G. Casazza, C. Heil and Z. Landau, |

Existence and Construction of Finite Tight Frames P.G. Casazza and M. Leon, |

A Physical Interpretation for Finite Tight Frames P.G. Casazza, M. Fickus, J. Kovacevic, M. Leon and J.C. Tremain, |

The Known Equal Norm Parseval Frames as of 2005 P.G. Casazza and N. Leonhard, |

Excess of Parseval Frames R. Balan, P.G. Casazza, C. Heil and Z. Landau, |

Decompositions of Frames and a new Frame Identity R. Balan, P.G. Casazza, D. Edidin and G. Kutyniok, |

Projections of Frames P.G. Casazza and M. Leon, |

Duality Principles in Frame Theory P.G. Casazza, G. Kutyniok and M.C. Lammers, |

Custom Building Finite Frames P.G. Casazza, |

Physical Laws Governing Finite Tight Frames P.G. Casazza, M.C. Fickus, J. Kovacevic, M.T. Leon and J.C. Tremain, |

Deficits and Excesses of Frames R. Balan, P.G. Casazza, C. Heil and Z. Landau, |

Uniform Tight Frames with Erasures P.G. Casazza and J. Kovacevic, |

Riesz-Fischer Sequences and Lower Frame Bounds P.G. Casazza, O. Christensen, S. Li, and A. Linder, |

Frames of Translates P.G. Casazza, O. Christensen, and N.J. Kalton, |

Approximation of the Frame Coefficients using Finite-Dimensional Methods P.G. Casazza and O. Christensen, |

The Art of Frame Theory P.G. Casazza, |

Every Frame is a Sum of Three (but not two) Orthonormal Bases and Other Frame Representations P.G. Casazza, |

Frames Containing a Riesz Basis and Preservation of this Property under Pertubations P.G. Casazza and O. Christensen, |

Riesz Frames and Finite Dimensional Approaches to Problems in Frame Theory P.G. Casazza and O. Christensen, |

Approximation of the Frame Coefficients using Finite-Dimensional Methods P.G. Casazza and O. Christensen, |

Characterizing Hilbert Space Frames with the Subframe Property P.G. Casazza, |

Pertubation of Operators and Applications to Frame Theory P.G. Casazza and Ole Christensen, |

Path Connectedness of the Wavelet Transform P.G. Casazza and M.T. Leon, |