Ole Christensen

2024

Truncations of generalized shift-invariant systems

Alvarez, P. G., Christensen, O. & Kim, R. Y., 2024, In: Canadian Mathematical Bulletin. 67, 2, p. 504-515

Research output: Contribution to journal › Journal article › Research › peer-review

2023

Frames and generalized operator orbits

Christensen, O. & Hasannasab, M., 2023, In: Sampling Theory, Signal Processing, and Data Analysis. 21, 7 p., 22.

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2022

Approximate frame representations via iterated operator systems

Christensen, O. & Hasannasab, M., 2022, In: Studia Mathematica. 263, 19 p.

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Approximately dual pairs of wavelet frames

Benavente, A., Christensen, O., Hasannasab, M., Kim, H. O., Kim, R. Y. & Kovac, F. D., 2022, In: Journal of Mathematical Analysis and Applications. 507, 2, 16 p., 125841.

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2021

Completion versus removal of redundancy by perturbation

Christensen, O. & Hasannasab, M., 2021, In: Canadian Mathematical Bulletin. 14 p.

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Explicit construction of frames and pairs of dual frames on locally compact abelian groups

Christensen, O. & Goh, S. S., 2021, In: Sampling Theory, Signal Processing, and Data Analysis. 19, 26 p., 4.

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On Approximate Operator Representations of Sequences in Banach Spaces

Christensen, O., Hasannasab, M. & Steidl, G., 2021, In: Complex Analysis and Operator Theory. 15, 3, 23 p., 54.

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The unitary extension principle for locally compact abelian groups with co-compact subgroups

Christensen, O. & Goh, S. S., 2021, In: Proceedings of the American Mathematical Society. 149, 3, p. 1189-1202

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Translation partitions of unity, symmetry properties, and Gabor frames

Christensen, O., Goh, S. S., Kim, H. O. & Kim, R. Y., 2021, In: Advances in Computational Mathematics. 47, 4, 26 p., 49 .

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2019

Equiangular frames and generalizations of the Welch bound to dual pairs of frames

Christensen, O., Datta, S. & Kim, R. Y., 2019, In: Linear and Multilinear Algebra. p. 1-11

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Frame properties of operator orbits

Christensen, O., Hasannasab, M. & Philipp, F., 2019, In: Mathematische Nachrichten. 293, 1, p. 52-66

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2018

Frame properties of systems arising via iterated actions of operators

Christensen, O. & Hasannasabjaldehbakhani, M., 2018, In: Applied and Computational Harmonic Analysis. 46, 3, p. 664-673

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Gabor Frames in ℓ2(Z) and Linear Dependence

Christensen, O. & Hasannasab, M., 2018, In: Journal of Fourier Analysis and Applications. 25, 1, p. 101–107

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Operator representations of sequences and dynamical sampling

Christensen, O., Hasannasab, M. & Stoeva, D. T., 2018, In: Sampling Theory in Signal and Image Processing. 17, p. 29–42

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2017

B-Spline Approximations of the Gaussian, their Gabor Frame Properties, and Approximately Dual Frames

Christensen, O., Kim, H. O. & Kim, R. Y., 2017, In: Journal of Fourier Analysis and Applications. 24, 4, p. 1119-1140

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Characterisations of Partition of Unities Generated by Entire Functions in C^d

Christensen, O., Kim, H. O. & Kim, R. Y., 2017, In: Bulletin of the Australian Mathematical Society. 95, 2, p. 281-290 10 p.

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Construction of Scaling Partitions of Unity

Christensen, O. & Goh, S. S., 2017, In: Frontiers in Applied Mathematics and Statistics. 3, 16 p., 21.

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Dynamical sampling and frame representations with bounded operators

Christensen, O., Hasannasab, M. & Rashidi, E., 2017, In: Journal of Mathematical Analysis and Applications. 463, p. 634-644

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Fractional and complex pseudo-splines and the construction of Parseval frames

Massopust, P., Forster, B. & Christensen, O., 2017, In: Applied Mathematics and Computation. 314, p. 12-24

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Generalized shift-invariant systems and approximately dual frames

Benavente, A., Christensen, O. & Zakowicz, M. I., 2017, In: Annals of Functional Analysis. 8, 2, p. 177-189

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Operator Representations of Frames: Boundedness, Duality, and Stability

Christensen, O. & Hasannasab, M., 2017, In: Integral Equations and Operator Theory. 88, 4, p. 483-499

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Paley-wiener type perturbations of frames and the deviation from perfect reconstruction

Christensen, O. & Zakowicz, M. I., 2017, In: Azerbaijan Journal of Mathematics. 7, 1, p. 59-69

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The unitary extension principle on locally compact abelian groups

Christensen, O. & Goh, S. S., 2017, In: Applied and Computational Harmonic Analysis. 33 p.

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2016

Explicit constructions and properties of generalized shift-invariant systems in L2(R)

Christensen, O., Hasannasabjaldehbakhani, M. & Lemvig, J., 2016, In: Advances in Computational Mathematics. 43, 2, p. 443–472

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On Partition of Unities Generated by Entire Functions and Gabor Frames in L²(R^d) and ℓ²(Z^d)

Christensen, O., Kim, H. O. & Kim, R. Y., 2016, In: Journal of Fourier Analysis and Applications. 22, 5, p. 1121-1140

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On the Gabor frame set for compactly supported continuous functions

Christensen, O., Kim, H. O. & Kim, R. Y., 2016, In: Journal of Inequalities and Applications. 2016, 17 p., 94.

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On Various R-duals and the Duality Principle

Stoeva, D. T. & Christensen, O., 2016, In: Integral Equations and Operator Theory. 84, 4, p. 577-590

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2015

Directional Time-frequency Analysis via Continuous Frames

Christensen, O., Forster, B. & Massopust, P., 2015, In: Bulletin of the Australian Mathematical Society. 92, 2, p. 268-281

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Fourier-like frames on locally compact abelian groups

Christensen, O. & Goh, S. S., 2015, In: Journal of Approximation Theory. 192, p. 82-101

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On extensions of wavelet systems to dual pairs of frames

Christensen, O., Kim, H. O. & Kim, R. Y., 2015, In: Advances in Computational Mathematics. 42, 2, p. 489-503

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On Gabor frames generated by sign-changing windows and B-splines

Christensen, O., Kim, H. O. & Kim, R. Y., 2015, In: Applied and Computational Harmonic Analysis. 39, 3, p. 534-544

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On R-Duals and the Duality Principle in Gabor Analysis

Stoeva, D. T. & Christensen, O., 2015, In: Journal of Fourier Analysis and Applications. 21, 2, p. 383-400

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2014

A short introduction to frames, Gabor systems, and wavelet systems

Christensen, O., 2014, In: Azerbaijan Journal of Mathematics. 4, 1, p. 25-39

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From dual pairs of Gabor frames to dual pairs of wavelet frames and vice versa

Christensen, O. & Goh, S. S., 2014, In: Applied and Computational Harmonic Analysis. 36, 2, p. 198-214

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On entire functions restricted to intervals, partition of unities, and dual Gabor frames

Christensen, O., Kim, H. O. & Kim, R. Y., 2014, In: Applied and Computational Harmonic Analysis. 38, 1, p. 72-86

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On Parseval Wavelet Frames with Two or Three Generators via the Unitary Extension Principle

Christensen, O., Kim, H. O. & Kim, R. Y., 2014, In: Canadian Mathematical Bulletin. 57, 2, p. 254-263

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2013

Characterizing R-duality in Banach spaces

Christensen, O., Xiao, X. C. & Zhu, Y. C., 2013, In: Acta Mathematica Sinica. English series. 29, 1, p. 75-84

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Construction of smooth compactly supported windows generating dual pairs of gabor frames

Christiansen, L. H. & Christensen, O., 2013, In: Asian-European Journal of Mathematics. 6, 1, 13 p., 1350011.

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Extensions of Bessel sequences to dual pairs of frames

Christensen, O., Kim, H. O. & Kim, R. Y., 2013, In: Applied and Computational Harmonic Analysis. 34, 2, p. 224-233

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On frame properties for Fourier-like systems

Christensen, O. & Osgooei, E., 2013, In: Journal of Approximation Theory. 172, p. 47-57

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Regularity of Dual Gabor Windows

Christensen, O., Kim, H. O. & Kim, R. Y., 2013, In: Abstract and Applied Analysis. 2013, 8 p., 747268.

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2012

A note on finite dual frame pairs

Christensen, O., M. Powell, A. & Chun Xiao, X., 2012, In: Proceedings of the American Mathematical Society. 140, 11, p. 3921-3930

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Exponential B-splines and the partition of unity property

Christensen, O. & Massopust, P., 2012, In: Advances in Computational Mathematics. 37, 3, p. 301-318

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Gabor windows supported on [ − 1, 1] and dual windows with small support

Christensen, O., Kim, H. O. & Kim, R. Y., 2012, In: Advances in Computational Mathematics. 36, 4, p. 525-545

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Pairs of dual periodic frames

Christensen, O. & Goh, S. S., 2012, In: Applied and Computational Harmonic Analysis. 33, 3, p. 315-329

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2011

Approximately dual frames in Hilbert spaces and applications to Gabor frames

Christensen, O. & Laugesen, R. S., 2011, In: Sampling Theory in Signal and Image Processing. 9, 1-3, p. 77-89

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Dual pairs of gabor frames for trigonometric generators without the partition of unity property

Christensen, O. & Jakobsen, M. S., 2011, In: Asian-European Journal of Mathematics. 4, 4, p. 589–603

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On the Duality Principle by Casazza, Kutyniok, and Lammers

Christensen, O., Kim, H. O. & Kim, R. Y., 2011, In: Journal of Fourier Analysis and Applications. 17, 4, p. 640-655

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Rækkefremstillinger frembragt af trigonometriske funktioner

Christensen, O. & Sielemann Jakobsen, M., 2011, In: Normat.

Research output: Contribution to journal › Journal article › Communication

Rækkefremstillinger i L2(R) frembragt af trigonometriske funktioner

Christensen, O. & Jakobsen, M. S., 2011, In: Normat. 59, 1, p. 22

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Ole Christensen

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