Discrete mathematics, Pure mathematics, Hilbert space, Wavelet and Mathematical analysis are his primary areas of study. The study incorporates disciplines such as Norm and Convergent series in addition to Discrete mathematics. His Hilbert space study combines topics in areas such as Point and Operator space, Compact operator.
His research in Wavelet intersects with topics in Gabor–Wigner transform, Vector space and Inner product space. His Inner product space research includes themes of Riesz sequence, Inverse and Fusion frame. His work on Eberlein–Šmulian theorem, Infinite-dimensional vector function and Banach manifold is typically connected to Set as part of general Mathematical analysis study, connecting several disciplines of science.
His scientific interests lie mostly in Pure mathematics, Hilbert space, Wavelet, Combinatorics and Discrete mathematics. His Pure mathematics study integrates concerns from other disciplines, such as Riesz sequence and Special case. His Hilbert space study is related to the wider topic of Mathematical analysis.
His work in Wavelet addresses issues such as Dual, which are connected to fields such as Structure. His work deals with themes such as Linear independence, Class, Bounded function, Gabor frame and Sequence, which intersect with Combinatorics. His study in the field of Countable set also crosses realms of Partition of unity.
His primary areas of investigation include Combinatorics, Bounded operator, Bounded function, Hilbert space and Pure mathematics. His studies deal with areas such as State, Linear independence and Upper and lower bounds as well as Combinatorics. His Bounded operator research focuses on Iterated function and how it relates to Representation.
His work carried out in the field of Bounded function brings together such families of science as Function, Linear map, Invariant subspace and Contraction. His Hilbert space study is focused on Mathematical analysis in general. Ole Christensen has included themes like Wavelet and Interpolation in his Pure mathematics study.
Ole Christensen mainly investigates Bounded function, Hilbert space, Bounded operator, Combinatorics and Linear map. His studies in Bounded function integrate themes in fields like Wavelet and Pure mathematics. His work in Wavelet is not limited to one particular discipline; it also encompasses Dual.
The various areas that Ole Christensen examines in his Pure mathematics study include Refinable function, Fourier transform and Group. His study ties his expertise on Iterated function together with the subject of Hilbert space. Ole Christensen has researched Linear map in several fields, including Discrete mathematics, Bijection, Class, Index set and Group representation.
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An introduction to frames and Riesz bases
Frames and Bases: An Introductory Course
Oblique dual frames and shift-invariant spaces
O Christensen;Y.C Eldar.
Applied and Computational Harmonic Analysis (2004)
Density of Gabor Frames
Ole Christensen;Baiqiao Deng;Christopher Heil.
Applied and Computational Harmonic Analysis (1999)
Perturbation of operators and applications to frame theory
Peter G. Cazassa;Ole Christensen.
Journal of Fourier Analysis and Applications (1997)
Frames, Riesz bases, and discrete Gabor/wavelet expansions
Bulletin of the American Mathematical Society (2001)
Frames and Bases
Perturbation of Banach Frames and Atomic Decomposition
Ole Christensen;C. Heil.
Math. Nach. (1997)
FRAME EXPANSIONS IN SEPARABLE BANACH SPACES
Pete Casazza;Ole Christensen;Diana T. Stoeva.
Journal of Mathematical Analysis and Applications (2005)
A Paley-Wiener theorem for frames
Proceedings of the American Mathematical Society (1995)
Profile was last updated on December 6th, 2021.
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