His primary areas of investigation include Pure mathematics, Hilbert space, Mathematical analysis, Linear subspace and Fusion frame. His work in the fields of Banach manifold, Approximation property and Eberlein–Šmulian theorem overlaps with other areas such as Span. Peter G. Casazza combines subjects such as Signal reconstruction, Signal processing and Parseval's theorem with his study of Hilbert space.
Peter G. Casazza interconnects Structure and Abelian group in the investigation of issues within Mathematical analysis. His work deals with themes such as Discrete mathematics and Linear span, which intersect with Linear subspace. His Fusion frame study combines topics from a wide range of disciplines, such as Norm and Robustness.
Peter G. Casazza focuses on Hilbert space, Pure mathematics, Combinatorics, Discrete mathematics and Norm. The various areas that Peter G. Casazza examines in his Hilbert space study include Algorithm, Linear subspace, Algebra and Parseval's theorem. His research in Algorithm focuses on subjects like Fusion frame, which are connected to Complement.
Space and Tsirelson space is closely connected to Basis in his research, which is encompassed under the umbrella topic of Pure mathematics. His work carried out in the field of Combinatorics brings together such families of science as Unit vector, Bounded function, If and only if and Linear independence. Peter G. Casazza performs multidisciplinary study on Discrete mathematics and Unconditional convergence in his works.
Peter G. Casazza spends much of his time researching Hilbert space, Combinatorics, Phase retrieval, Norm and Discrete mathematics. His Hilbert space research is multidisciplinary, incorporating perspectives in Constant and Algebra. His work on Linear subspace and Orthonormal basis as part of general Algebra study is frequently connected to Relational frame theory, therefore bridging the gap between diverse disciplines of science and establishing a new relationship between them.
His Combinatorics research incorporates elements of Unit vector, Mutually unbiased bases and Bounded function. His Phase retrieval research integrates issues from Algorithm, Hyperplane, Contrast and Open problem. His Norm research includes elements of Linear span, Linear combination, Parseval's theorem and Compressed sensing.
His main research concerns Hilbert space, Pure mathematics, Phase retrieval, Discrete mathematics and Relational frame theory. His Hilbert space study deals with the bigger picture of Mathematical analysis. His Mathematical analysis study incorporates themes from Basis, Connection and Redundancy.
His Pure mathematics research incorporates themes from Frame and Sequence. The study incorporates disciplines such as Norm and Algebra in addition to Discrete mathematics. His research investigates the connection between Norm and topics such as Majorization that intersect with issues in Algorithm.
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THE ART OF FRAME THEORY
Peter G. Casazza.
Taiwanese Journal of Mathematics (2000)
On signal reconstruction without phase
Radu Balan;Pete Casazza;Dan Edidin.
Applied and Computational Harmonic Analysis (2006)
Finite Frames: Theory and Applications
Peter G. Casazza;Gitta Kutyniok.
Equal-Norm Tight Frames with Erasures
Peter G. Casazza;Jelena Kovačević.
Advances in Computational Mathematics (2003)
Fusion frames and distributed processing
Peter G. Casazza;Gitta Kutyniok;Shidong Li.
Applied and Computational Harmonic Analysis (2008)
Frames of subspaces
Peter G. Casazza;Gitta Kutyniok.
arXiv: Functional Analysis (2003)
Painless Reconstruction from Magnitudes of Frame Coefficients
Radu Balan;Bernhard G. Bodmann;Peter G. Casazza;Dan Edidin.
Journal of Fourier Analysis and Applications (2009)
Peter G. Casazza;Thaddeus J. Shura.
The Kadison–Singer Problem in mathematics and engineering
Peter G. Casazza;Janet Crandell Tremain.
Proceedings of the National Academy of Sciences of the United States of America (2006)
Density, Overcompleteness, and Localization of Frames. I. Theory
Radu Balan;Peter G. Casazza;Christopher Heil;Zeph Landau.
Journal of Fourier Analysis and Applications (2006)
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