What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Algebra
- Hilbert space
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.
His most cited work include:
- THE ART OF FRAME THEORY (489 citations)
- On signal reconstruction without phase (482 citations)
- Equal-Norm Tight Frames with Erasures (319 citations)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Hilbert space (35.27%)
- Pure mathematics (27.91%)
- Combinatorics (23.26%)
What were the highlights of his more recent work (between 2012-2021)?
- Hilbert space (35.27%)
- Combinatorics (23.26%)
- Phase retrieval (7.36%)
In recent papers he was focusing on the following fields of study:
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.
Between 2012 and 2021, his most popular works were:
- Phase Retrieval By Projections (56 citations)
- Introduction to Finite Frame Theory (49 citations)
- Phase retrieval in infinite-dimensional Hilbert spaces (33 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Hilbert space
- Algebra
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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