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Christensen, Ole

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Author ID: christensen.ole Recent zbMATH articles by "Christensen, Ole"
Published as: Christensen, Ole; Christensen, O.
Homepage: https://www.dtu.dk/english/service/phonebook/person?id=4715&tab=1
External Links: MGP
Documents Indexed: 117 Publications since 1993, including 5 Books
all top 5

Serials

13 Applied and Computational Harmonic Analysis
10 Advances in Computational Mathematics
10 The Journal of Fourier Analysis and Applications
7 Proceedings of the American Mathematical Society
6 Journal of Mathematical Analysis and Applications
6 Journal of Approximation Theory
5 Applied and Numerical Harmonic Analysis
3 Canadian Mathematical Bulletin
3 Approximation Theory and its Applications
2 Bulletin of the Australian Mathematical Society
2 Rocky Mountain Journal of Mathematics
2 Integral Equations and Operator Theory
2 Mathematische Nachrichten
2 Normat
2 Zeitschrift für Analysis und ihre Anwendungen
2 The Journal of Geometric Analysis
2 Linear Algebra and its Applications
2 Sampling Theory in Signal and Image Processing
2 Asian-European Journal of Mathematics
2 Azerbaijan Journal of Mathematics
1 American Mathematical Monthly
1 Linear and Multilinear Algebra
1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
1 Applied Mathematics and Computation
1 Collectanea Mathematica
1 Hokkaido Mathematical Journal
1 Journal of Functional Analysis
1 Numerical Functional Analysis and Optimization
1 SIAM Journal on Mathematical Analysis
1 Bulletin of the American Mathematical Society. New Series
1 Abstract and Applied Analysis
1 Journal of Inequalities and Applications
1 The Arabian Journal for Science and Engineering. Section C: Theme Issues
1 Acta Mathematica Sinica. English Series
1 EURASIP Journal on Applied Signal Processing
1 Complex Analysis and Operator Theory
1 Annals of Functional Analysis

Publications by Year

Citations contained in zbMATH Open

97 Publications have been cited 2,272 times in 1,155 Documents Cited by Year
An introduction to frames and Riesz bases. Zbl 1017.42022
Christensen, Ole
694
2003
An introduction to frames and Riesz bases. 2nd edition. Zbl 1348.42033
Christensen, Ole
176
2016
Frames and bases. An introductory course. Zbl 1152.42001
Christensen, Ole
115
2008
Perturbation of operators and applications to frame theory. Zbl 0895.47007
Casazza, Peter G.; Christensen, Ole
80
1997
Oblique dual frames and shift-invariant spaces. Zbl 1043.42027
Christensen, O.; Eldar, Y. C.
67
2004
Perturbations of Banach frames and atomic decompositions. Zbl 0868.42013
Christensen, Ole; Heil, Christopher
63
1997
Density of Gabor frames. Zbl 0960.42007
Christensen, Ole; Deng, Baiqiao; Heil, Christopher
59
1999
Frames, Riesz bases, and discrete Gabor/wavelet expansions. Zbl 0982.42018
Christensen, Ole
54
2001
\(p\)-frames in separable Banach spaces. Zbl 1012.42024
Christensen, Ole; Stoeva, Diana T.
50
2003
Frame expansions in separable Banach spaces. Zbl 1091.46007
Casazza, Pete; Christensen, Ole; Stoeva, Diana T.
46
2005
Weyl-Heisenberg frames for subspaces of \(L^2(R)\). Zbl 0987.42023
Casazza, Peter G.; Christensen, Ole
46
2001
Frames and pseudo-inverses. Zbl 0845.47002
Christensen, Ole
40
1995
A Paley-Wiener theorem for frames. Zbl 0833.42019
Christensen, Ole
32
1995
Pairs of dual Gabor frame generators with compact support and desired frequency localization. Zbl 1106.42030
Christensen, Ole
32
2006
Frames and the Feichtinger conjecture. Zbl 1082.46018
Casazza, Peter G.; Christensen, Ole; Lindner, Alexander M.; Vershynin, Roman
31
2005
Frame perturbations. Zbl 0838.42018
Christensen, Ole
30
1995
Frames containing a Riesz basis and approximation of the frame coefficients using finite-dimensional methods. Zbl 0889.46011
Christensen, Ole
29
1996
Approximately dual frames in Hilbert spaces and applications to Gabor frames. Zbl 1228.42031
Christensen, Ole; Laugesen, Richard S.
25
2010
On dual Gabor frame pairs generated by polynomials. Zbl 1210.42048
Christensen, Ole; Kim, Rae Young
24
2010
Frame properties of wave packet systems in \(L^2({\mathbb R}^d)\). Zbl 1152.42013
Christensen, Ole; Rahimi, Asghar
24
2008
Frames containing a Riesz basis and preservation of this property under perturbations. Zbl 0922.42024
Casazza, Peter G.; Christensen, Ole
20
1998
Frames of translates. Zbl 1029.42029
Casazza, Peter G.; Christensen, Ole; Kalton, Nigel J.
20
2001
The finite section method and problems in frame theory. Zbl 1078.42024
Christensen, Ole; Strohmer, Thomas
20
2005
Approximation of the inverse frame operator and applications to Gabor frames. Zbl 0951.46008
Casazza, Peter G.; Christensen, Ole
20
2000
Weyl-Heisenberg frames, translation invariant systems and the Walnut representation. Zbl 0983.42023
Casazza, Peter G.; Christensen, Ole; Janssen, A. J. E. M.
18
2001
Gabor windows supported on \([-1, 1]\) and compactly supported dual windows. Zbl 1177.42029
Christensen, Ole; Kim, Hong Oh; Kim, Rae Young
17
2010
Operators with closed range, pseudo-inverses, and perturbation of frames for a subspace. Zbl 0938.42021
Christensen, Ole
15
1999
Frames and the projection method. Zbl 0849.42025
Christensen, Ole
14
1993
Moment problems and stability results for frames with applications to irregular sampling and Gabor frames. Zbl 0856.42022
Christensen, Ole
14
1996
Generalized shift-invariant systems and frames for subspaces. Zbl 1095.42024
Christensen, Ole; Eldar, Yonina C.
14
2005
Exponential B-splines and the partition of unity property. Zbl 1260.42021
Christensen, Ole; Massopust, Peter
13
2012
Atomic decomposition via projective group representations. Zbl 0891.22006
Christensen, Ole
13
1996
Fourier-like frames on locally compact abelian groups. Zbl 1311.42075
Christensen, Ole; Goh, Say Song
12
2015
From dual pairs of Gabor frames to dual pairs of wavelet frames and vice versa. Zbl 1302.42047
Christensen, Ole; Goh, Say Song
12
2014
Finite-dimensional approximation of the inverse frame operator. Zbl 0961.42020
Christensen, Ole
12
2000
Characterizing R-duality in Banach spaces. Zbl 1268.42054
Christensen, Ole; Xiao, Xiang Chun; Zhu, Yu Can
12
2013
Operator representations of frames: boundedness, duality, and stability. Zbl 1376.42040
Christensen, Ole; Hasannasab, Marzieh
11
2017
Irregular wavelet frames and Gabor frames. Zbl 0999.42025
Christensen, Ole; Favier, Sergio; Zó, Felipe
11
2001
On the duality principle by Casazza, Kutyniok, and Lammers. Zbl 1222.42031
Christensen, Ole; Kim, Hong Oh; Kim, Rae Young
11
2011
Extensions of Bessel sequences to dual pairs of frames. Zbl 1323.42027
Christensen, Ole; Kim, Hong Oh; Kim, Rae Young
11
2013
On R-duals and the duality principle in Gabor analysis. Zbl 1312.42037
Stoeva, Diana T.; Christensen, Ole
10
2015
Classifying tight Weyl-Heisenberg frames. Zbl 0960.42006
Casazza, Peter G.; Christensen, Ole; Janssen, A. J. E. M.
9
1999
Decomposition of Riesz frames and wavelets into a finite union of linearly independent sets. Zbl 1035.42030
Christensen, Ole; Lindner, Alexander M.
9
2002
Frames of exponentials: Lower frame bounds for finite subfamilies and approximation of the inverse frame operator. Zbl 0982.42019
Christensen, Ole; Lindner, Alexander M.
9
2001
Gabor frames over irregular lattices. Zbl 1027.42026
Casazza, Peter G.; Christensen, Ole
9
2003
Characterization of oblique dual frame pairs. Zbl 1122.94011
Eldar, Yonina C.; Christensen, Ole
9
2006
Dynamical sampling and frame representations with bounded operators. Zbl 1387.42037
Christensen, Ole; Hasannasab, Marzieh; Rashidi, Ehsan
9
2018
Perturbation of frames for a subspace of a Hilbert space. Zbl 1161.42309
Christensen, Ole; Lennard, Chris; Lewis, Christine
8
2000
Pairs of explicitly given dual Gabor frames in \(L^{2}(\mathbb R^{d})\). Zbl 1096.42015
Christensen, Ole; Kim, Rae Young
8
2006
Hilbert space frames containing a Riesz basis and Banach spaces which have no subspace isomorphic to \(c_ 0\). Zbl 0867.46013
Casazza, Peter G.; Christensen, Ole
7
1996
On Parseval wavelet frames with two or three generators via the unitary extension principle. Zbl 1295.42014
Christensen, Ole; Kim, Hong Oh; Kim, Rae Young
7
2014
Stability of wavelet frames with matrix dilations. Zbl 1078.42026
Christensen, Ole; Sun, Wenchang
7
2006
Perturbation of frame sequences in shift-invariant spaces. Zbl 1087.42022
Christensen, O.; Kim, H. O.; Kim, R. Y.; Lim, J. K.
7
2005
Lower bounds for finite wavelet and Gabor systems. Zbl 0982.42020
Christensen, Ole; Lindner, Alexander M.
7
2001
A note on finite dual frame pairs. Zbl 1365.42023
Christensen, Ole; Powell, Alexander M.; Xiao, Xiang Chun
7
2012
The reconstruction property in Banach spaces and a perturbation theorem. Zbl 1268.42053
Casazza, Peter G.; Christensen, Ole
7
2008
Riesz-Fischer sequences and lower frame bounds. Zbl 1002.42023
Casazza, P.; Christensen, O.; Li, Shidong; Lindner, A.
6
2002
Perturbation of frames and applications to Gabor frames. Zbl 0890.42010
Christensen, Ole
6
1998
Gabor windows supported on \([ - 1, 1]\) and dual windows with small support. Zbl 1251.42005
Christensen, Ole; Kim, Hong Oh; Kim, Rae Young
6
2012
Approximation theory. From Taylor polynomials to wavelets. Zbl 1062.41001
Christensen, Ole; Christensen, Khadija L.
6
2004
Methods for approximation of the inverse (Gabor) frame operator. Zbl 1036.42029
Christensen, Ole; Strohmer, Thomas
6
2003
Functions, spaces, and expansions. Mathematical tools in physics and engineering. Zbl 1231.46001
Christensen, Ole
6
2010
Explicit constructions and properties of generalized shift-invariant systems in \(L^{2}(\mathbb {R})\). Zbl 1376.42041
Christensen, Ole; Hasannasab, Marzieh; Lemvig, Jakob
6
2017
On entire functions restricted to intervals, partition of unities, and dual Gabor frames. Zbl 1302.42048
Christensen, Ole; Kim, Hong Oh; Kim, Rae Young
6
2015
On various R-duals and the duality principle. Zbl 1338.42047
Stoeva, Diana T.; Christensen, Ole
6
2016
Riesz frames and approximation of the frame coefficients. Zbl 0919.42026
Casazza, Peter G.; Christensen, Ole
5
1998
Frame properties of systems arising via iterated actions of operators. Zbl 1428.42056
Christensen, Ole; Hasannasab, Marzieh
5
2019
On extensions of wavelet systems to dual pairs of frames. Zbl 1347.42053
Christensen, Ole; Kim, Hong Oh; Kim, Rae Young
5
2016
Explicitly given pairs of dual frames with compactly supported generators and applications to irregular B-splines. Zbl 1208.41003
Christensen, Ole; Sun, Wenchang
5
2008
Frame properties of operator orbits. Zbl 07197933
Christensen, Ole; Hasannasab, Marzieh; Philipp, Friedrich
5
2020
On Gabor frames generated by sign-changing windows and B-splines. Zbl 1333.42052
Christensen, Ole; Kim, Hong Oh; Kim, Rae Young
4
2015
On frame properties for Fourier-like systems. Zbl 1281.42033
Christensen, Ole; Osgooei, Elnaz
4
2013
Pairs of dual periodic frames. Zbl 1266.42073
Christensen, Ole; Goh, Say Song
3
2012
A short introduction to frames, Gabor systems, and wavelet systems. Zbl 1293.42032
Christensen, Ole
3
2014
Pairs of oblique duals in spaces of periodic functions. Zbl 1190.41015
Christensen, Ole; Goh, Say Song
3
2010
Characterization and perturbation of Gabor frame sequences with rational parameters. Zbl 1122.42014
Bownik, Marcin; Christensen, Ole
3
2007
Directional time-frequency analysis via continuous frames. Zbl 1330.42017
Christensen, Ole; Forster, Brigitte; Massopust, Peter
3
2015
Perturbations of Weyl-Heisenberg frames. Zbl 1043.42025
Casazza, Peter G.; Christensen, Ole; Lammers, Mark C.
3
2002
Generalized shift-invariant systems and approximately dual frames. Zbl 1362.42060
Benavente, Ana; Christensen, Ole; Zakowicz, María I.
2
2017
Operator representations of sequences and dynamical sampling. Zbl 1416.42035
Christensen, Ole; Hasannasab, Marzieh; Stoeva, Diana T.
2
2018
Regularity of dual Gabor windows. Zbl 07095322
Christensen, Ole; Kim, Hong Oh; Kim, Rae Young
2
2013
Six (Seven) problems in frame theory. Zbl 1322.42036
Christensen, Ole
2
2014
Construction of smooth compactly supported windows generating dual pairs of Gabor frames. Zbl 1275.42047
Christiansen, Lasse Hjuler; Christensen, Ole
2
2013
Paley-Wiener type perturbations of frames and the deviation from perfect reconstruction. Zbl 1372.42026
Christensen, O.; Zakowicz, M. I.
2
2017
Dual pairs of Gabor frames for trigonometric generators without the partition of unity property. Zbl 1245.42023
Christensen, O.; Jakobsen, Mads Sielemann
2
2011
Gabor analysis for imaging. Zbl 1259.94013
Christensen, Ole; Feichtinger, Hans G.; Paukner, Stephan
2
2011
Density results for frames of exponentials. Zbl 1129.42417
Casazza, Peter G.; Christensen, Ole; Li, Shidong; Lindner, Alexander
2
2006
B-spline generated frames. Zbl 1193.42120
Christensen, Ole
2
2010
The unitary extension principle on locally compact abelian groups. Zbl 1440.42149
Christensen, Ole; Goh, Say Song
2
2019
On partition of unities generated by entire functions and Gabor frames in \( L^2(\mathbb R^d) \) and \(\ell^2(\mathbb Z^d)\). Zbl 1351.42041
Christensen, Ole; Kim, Hong Oh; Kim, Rae Young
2
2016
Frames and Schauder bases. Zbl 0915.46008
Casazza, Peter G.; Christensen, Ole
1
1998
Frames containing a Riesz basis and approximation of the inverse frame operator. Zbl 0990.42020
Christensen, Ole; Lindner, Alexander
1
2001
Linear combinations of frames and frame packets. Zbl 0999.42024
Christensen, O.
1
2001
Frames and generalized shift-invariant systems. Zbl 1104.42018
Christensen, Ole
1
2006
On the Gabor frame set for compactly supported continuous functions. Zbl 1335.42037
Christensen, Ole; Kim, Hong Oh; Kim, Rae Young
1
2016
Riesz sequences of translates and generalized duals with support on \([0,1]\). Zbl 1104.42017
Christensen, O.; Kim, H. O.; Kim, R. Y.; Lim, J. K.
1
2006
On frame multiresolution analysis. Zbl 1271.42045
Christensen, Ole
1
2003
Frame properties of operator orbits. Zbl 07197933
Christensen, Ole; Hasannasab, Marzieh; Philipp, Friedrich
5
2020
Frame properties of systems arising via iterated actions of operators. Zbl 1428.42056
Christensen, Ole; Hasannasab, Marzieh
5
2019
The unitary extension principle on locally compact abelian groups. Zbl 1440.42149
Christensen, Ole; Goh, Say Song
2
2019
Dynamical sampling and frame representations with bounded operators. Zbl 1387.42037
Christensen, Ole; Hasannasab, Marzieh; Rashidi, Ehsan
9
2018
Operator representations of sequences and dynamical sampling. Zbl 1416.42035
Christensen, Ole; Hasannasab, Marzieh; Stoeva, Diana T.
2
2018
Operator representations of frames: boundedness, duality, and stability. Zbl 1376.42040
Christensen, Ole; Hasannasab, Marzieh
11
2017
Explicit constructions and properties of generalized shift-invariant systems in \(L^{2}(\mathbb {R})\). Zbl 1376.42041
Christensen, Ole; Hasannasab, Marzieh; Lemvig, Jakob
6
2017
Generalized shift-invariant systems and approximately dual frames. Zbl 1362.42060
Benavente, Ana; Christensen, Ole; Zakowicz, María I.
2
2017
Paley-Wiener type perturbations of frames and the deviation from perfect reconstruction. Zbl 1372.42026
Christensen, O.; Zakowicz, M. I.
2
2017
An introduction to frames and Riesz bases. 2nd edition. Zbl 1348.42033
Christensen, Ole
176
2016
On various R-duals and the duality principle. Zbl 1338.42047
Stoeva, Diana T.; Christensen, Ole
6
2016
On extensions of wavelet systems to dual pairs of frames. Zbl 1347.42053
Christensen, Ole; Kim, Hong Oh; Kim, Rae Young
5
2016
On partition of unities generated by entire functions and Gabor frames in \( L^2(\mathbb R^d) \) and \(\ell^2(\mathbb Z^d)\). Zbl 1351.42041
Christensen, Ole; Kim, Hong Oh; Kim, Rae Young
2
2016
On the Gabor frame set for compactly supported continuous functions. Zbl 1335.42037
Christensen, Ole; Kim, Hong Oh; Kim, Rae Young
1
2016
Fourier-like frames on locally compact abelian groups. Zbl 1311.42075
Christensen, Ole; Goh, Say Song
12
2015
On R-duals and the duality principle in Gabor analysis. Zbl 1312.42037
Stoeva, Diana T.; Christensen, Ole
10
2015
On entire functions restricted to intervals, partition of unities, and dual Gabor frames. Zbl 1302.42048
Christensen, Ole; Kim, Hong Oh; Kim, Rae Young
6
2015
On Gabor frames generated by sign-changing windows and B-splines. Zbl 1333.42052
Christensen, Ole; Kim, Hong Oh; Kim, Rae Young
4
2015
Directional time-frequency analysis via continuous frames. Zbl 1330.42017
Christensen, Ole; Forster, Brigitte; Massopust, Peter
3
2015
From dual pairs of Gabor frames to dual pairs of wavelet frames and vice versa. Zbl 1302.42047
Christensen, Ole; Goh, Say Song
12
2014
On Parseval wavelet frames with two or three generators via the unitary extension principle. Zbl 1295.42014
Christensen, Ole; Kim, Hong Oh; Kim, Rae Young
7
2014
A short introduction to frames, Gabor systems, and wavelet systems. Zbl 1293.42032
Christensen, Ole
3
2014
Six (Seven) problems in frame theory. Zbl 1322.42036
Christensen, Ole
2
2014
Characterizing R-duality in Banach spaces. Zbl 1268.42054
Christensen, Ole; Xiao, Xiang Chun; Zhu, Yu Can
12
2013
Extensions of Bessel sequences to dual pairs of frames. Zbl 1323.42027
Christensen, Ole; Kim, Hong Oh; Kim, Rae Young
11
2013
On frame properties for Fourier-like systems. Zbl 1281.42033
Christensen, Ole; Osgooei, Elnaz
4
2013
Regularity of dual Gabor windows. Zbl 07095322
Christensen, Ole; Kim, Hong Oh; Kim, Rae Young
2
2013
Construction of smooth compactly supported windows generating dual pairs of Gabor frames. Zbl 1275.42047
Christiansen, Lasse Hjuler; Christensen, Ole
2
2013
Exponential B-splines and the partition of unity property. Zbl 1260.42021
Christensen, Ole; Massopust, Peter
13
2012
A note on finite dual frame pairs. Zbl 1365.42023
Christensen, Ole; Powell, Alexander M.; Xiao, Xiang Chun
7
2012
Gabor windows supported on \([ - 1, 1]\) and dual windows with small support. Zbl 1251.42005
Christensen, Ole; Kim, Hong Oh; Kim, Rae Young
6
2012
Pairs of dual periodic frames. Zbl 1266.42073
Christensen, Ole; Goh, Say Song
3
2012
On the duality principle by Casazza, Kutyniok, and Lammers. Zbl 1222.42031
Christensen, Ole; Kim, Hong Oh; Kim, Rae Young
11
2011
Dual pairs of Gabor frames for trigonometric generators without the partition of unity property. Zbl 1245.42023
Christensen, O.; Jakobsen, Mads Sielemann
2
2011
Gabor analysis for imaging. Zbl 1259.94013
Christensen, Ole; Feichtinger, Hans G.; Paukner, Stephan
2
2011
Approximately dual frames in Hilbert spaces and applications to Gabor frames. Zbl 1228.42031
Christensen, Ole; Laugesen, Richard S.
25
2010
On dual Gabor frame pairs generated by polynomials. Zbl 1210.42048
Christensen, Ole; Kim, Rae Young
24
2010
Gabor windows supported on \([-1, 1]\) and compactly supported dual windows. Zbl 1177.42029
Christensen, Ole; Kim, Hong Oh; Kim, Rae Young
17
2010
Functions, spaces, and expansions. Mathematical tools in physics and engineering. Zbl 1231.46001
Christensen, Ole
6
2010
Pairs of oblique duals in spaces of periodic functions. Zbl 1190.41015
Christensen, Ole; Goh, Say Song
3
2010
B-spline generated frames. Zbl 1193.42120
Christensen, Ole
2
2010
Frames and bases. An introductory course. Zbl 1152.42001
Christensen, Ole
115
2008
Frame properties of wave packet systems in \(L^2({\mathbb R}^d)\). Zbl 1152.42013
Christensen, Ole; Rahimi, Asghar
24
2008
The reconstruction property in Banach spaces and a perturbation theorem. Zbl 1268.42053
Casazza, Peter G.; Christensen, Ole
7
2008
Explicitly given pairs of dual frames with compactly supported generators and applications to irregular B-splines. Zbl 1208.41003
Christensen, Ole; Sun, Wenchang
5
2008
Characterization and perturbation of Gabor frame sequences with rational parameters. Zbl 1122.42014
Bownik, Marcin; Christensen, Ole
3
2007
Pairs of dual Gabor frame generators with compact support and desired frequency localization. Zbl 1106.42030
Christensen, Ole
32
2006
Characterization of oblique dual frame pairs. Zbl 1122.94011
Eldar, Yonina C.; Christensen, Ole
9
2006
Pairs of explicitly given dual Gabor frames in \(L^{2}(\mathbb R^{d})\). Zbl 1096.42015
Christensen, Ole; Kim, Rae Young
8
2006
Stability of wavelet frames with matrix dilations. Zbl 1078.42026
Christensen, Ole; Sun, Wenchang
7
2006
Density results for frames of exponentials. Zbl 1129.42417
Casazza, Peter G.; Christensen, Ole; Li, Shidong; Lindner, Alexander
2
2006
Frames and generalized shift-invariant systems. Zbl 1104.42018
Christensen, Ole
1
2006
Riesz sequences of translates and generalized duals with support on \([0,1]\). Zbl 1104.42017
Christensen, O.; Kim, H. O.; Kim, R. Y.; Lim, J. K.
1
2006
Frame expansions in separable Banach spaces. Zbl 1091.46007
Casazza, Pete; Christensen, Ole; Stoeva, Diana T.
46
2005
Frames and the Feichtinger conjecture. Zbl 1082.46018
Casazza, Peter G.; Christensen, Ole; Lindner, Alexander M.; Vershynin, Roman
31
2005
The finite section method and problems in frame theory. Zbl 1078.42024
Christensen, Ole; Strohmer, Thomas
20
2005
Generalized shift-invariant systems and frames for subspaces. Zbl 1095.42024
Christensen, Ole; Eldar, Yonina C.
14
2005
Perturbation of frame sequences in shift-invariant spaces. Zbl 1087.42022
Christensen, O.; Kim, H. O.; Kim, R. Y.; Lim, J. K.
7
2005
Oblique dual frames and shift-invariant spaces. Zbl 1043.42027
Christensen, O.; Eldar, Y. C.
67
2004
Approximation theory. From Taylor polynomials to wavelets. Zbl 1062.41001
Christensen, Ole; Christensen, Khadija L.
6
2004
An introduction to frames and Riesz bases. Zbl 1017.42022
Christensen, Ole
694
2003
\(p\)-frames in separable Banach spaces. Zbl 1012.42024
Christensen, Ole; Stoeva, Diana T.
50
2003
Gabor frames over irregular lattices. Zbl 1027.42026
Casazza, Peter G.; Christensen, Ole
9
2003
Methods for approximation of the inverse (Gabor) frame operator. Zbl 1036.42029
Christensen, Ole; Strohmer, Thomas
6
2003
On frame multiresolution analysis. Zbl 1271.42045
Christensen, Ole
1
2003
Decomposition of Riesz frames and wavelets into a finite union of linearly independent sets. Zbl 1035.42030
Christensen, Ole; Lindner, Alexander M.
9
2002
Riesz-Fischer sequences and lower frame bounds. Zbl 1002.42023
Casazza, P.; Christensen, O.; Li, Shidong; Lindner, A.
6
2002
Perturbations of Weyl-Heisenberg frames. Zbl 1043.42025
Casazza, Peter G.; Christensen, Ole; Lammers, Mark C.
3
2002
Frames, Riesz bases, and discrete Gabor/wavelet expansions. Zbl 0982.42018
Christensen, Ole
54
2001
Weyl-Heisenberg frames for subspaces of \(L^2(R)\). Zbl 0987.42023
Casazza, Peter G.; Christensen, Ole
46
2001
Frames of translates. Zbl 1029.42029
Casazza, Peter G.; Christensen, Ole; Kalton, Nigel J.
20
2001
Weyl-Heisenberg frames, translation invariant systems and the Walnut representation. Zbl 0983.42023
Casazza, Peter G.; Christensen, Ole; Janssen, A. J. E. M.
18
2001
Irregular wavelet frames and Gabor frames. Zbl 0999.42025
Christensen, Ole; Favier, Sergio; Zó, Felipe
11
2001
Frames of exponentials: Lower frame bounds for finite subfamilies and approximation of the inverse frame operator. Zbl 0982.42019
Christensen, Ole; Lindner, Alexander M.
9
2001
Lower bounds for finite wavelet and Gabor systems. Zbl 0982.42020
Christensen, Ole; Lindner, Alexander M.
7
2001
Frames containing a Riesz basis and approximation of the inverse frame operator. Zbl 0990.42020
Christensen, Ole; Lindner, Alexander
1
2001
Linear combinations of frames and frame packets. Zbl 0999.42024
Christensen, O.
1
2001
Approximation of the inverse frame operator and applications to Gabor frames. Zbl 0951.46008
Casazza, Peter G.; Christensen, Ole
20
2000
Finite-dimensional approximation of the inverse frame operator. Zbl 0961.42020
Christensen, Ole
12
2000
Perturbation of frames for a subspace of a Hilbert space. Zbl 1161.42309
Christensen, Ole; Lennard, Chris; Lewis, Christine
8
2000
Density of Gabor frames. Zbl 0960.42007
Christensen, Ole; Deng, Baiqiao; Heil, Christopher
59
1999
Operators with closed range, pseudo-inverses, and perturbation of frames for a subspace. Zbl 0938.42021
Christensen, Ole
15
1999
Classifying tight Weyl-Heisenberg frames. Zbl 0960.42006
Casazza, Peter G.; Christensen, Ole; Janssen, A. J. E. M.
9
1999
Frames containing a Riesz basis and preservation of this property under perturbations. Zbl 0922.42024
Casazza, Peter G.; Christensen, Ole
20
1998
Perturbation of frames and applications to Gabor frames. Zbl 0890.42010
Christensen, Ole
6
1998
Riesz frames and approximation of the frame coefficients. Zbl 0919.42026
Casazza, Peter G.; Christensen, Ole
5
1998
Frames and Schauder bases. Zbl 0915.46008
Casazza, Peter G.; Christensen, Ole
1
1998
Perturbation of operators and applications to frame theory. Zbl 0895.47007
Casazza, Peter G.; Christensen, Ole
80
1997
Perturbations of Banach frames and atomic decompositions. Zbl 0868.42013
Christensen, Ole; Heil, Christopher
63
1997
Frames containing a Riesz basis and approximation of the frame coefficients using finite-dimensional methods. Zbl 0889.46011
Christensen, Ole
29
1996
Moment problems and stability results for frames with applications to irregular sampling and Gabor frames. Zbl 0856.42022
Christensen, Ole
14
1996
Atomic decomposition via projective group representations. Zbl 0891.22006
Christensen, Ole
13
1996
Hilbert space frames containing a Riesz basis and Banach spaces which have no subspace isomorphic to \(c_ 0\). Zbl 0867.46013
Casazza, Peter G.; Christensen, Ole
7
1996
Frames and pseudo-inverses. Zbl 0845.47002
Christensen, Ole
40
1995
A Paley-Wiener theorem for frames. Zbl 0833.42019
Christensen, Ole
32
1995
Frame perturbations. Zbl 0838.42018
Christensen, Ole
30
1995
Frames and the projection method. Zbl 0849.42025
Christensen, Ole
14
1993
all top 5

Cited by 1,013 Authors

62 Christensen, Ole
41 Sun, Wenchang
36 Casazza, Peter George
34 Li, Yunzhang
26 Han, Deguang
26 Kutyniok, Gitta
22 Kim, Hong Oh
21 Kim, Rae Young
20 García, Antonio G.
20 Gröchenig, Karlheinz
18 Bagarello, Fabio
17 Arefijamaal, Ali Akbar
17 Lim, Jae Kun
16 Balazs, Peter
16 Rahimi, Asghar
16 Sun, Qiyu
15 Gabardo, Jean-Pierre
15 Goh, Say Song
15 Stoeva, Diana T.
15 Zhu, Yucan
13 Bownik, Marcin
13 Heil, Christopher E.
13 Kaushik, Shiv Kumar
13 Lemvig, Jakob
13 Zhou, Xingwei
12 Pérez-Villalón, Gerardo
12 Stojanoff, Demetrio
11 Asgari, Mohammad Sadegh
11 Cabrelli, Carlos A.
11 Guo, Xunxiang
11 Pfander, Götz E.
10 Benedetto, John J.
10 Feichtinger, Hans Georg
10 Grohs, Philipp
10 Laugesen, Richard Snyder
10 Massey, Pedro G.
10 Osgooei, Elnaz
10 Speegle, Darrin M.
10 Waldron, Shayne F. D.
9 Aldroubi, Akram
9 Fornasier, Massimo
9 Hernández-Medina, Miguel Ángel
9 Jakobsen, Mads Sielemann
9 Koo, Yooyoung
9 Li, Dengfeng
9 Li, Shidong
9 Powell, Alexander M.
9 Shah, Firdous Ahmad
9 Xiao, Xiangchun
8 Dutkay, Dorin Ervin
8 Lai, Chun-Kit
8 Larson, David Royal
8 Muñoz-Bouzo, María José
8 Okoudjou, Kasso A.
8 Paternostro, Victoria
8 Poumai, Khole Timothy
7 Adcock, Ben
7 Antezana, Jorge
7 Balan, Radu V.
7 Bodmann, Bernhard G.
7 Corach, Gustavo
7 Huang, Yongdong
7 Leng, Jinsong
7 Li, Dongwei
7 Liu, Rui
7 Molter, Ursula Maria
7 Pilipović, Stevan
7 Ruiz, Mariano A.
7 Shamsabadi, Mitra
7 Vashisht, Lalit Kumar
6 Abdollahpour, Mohammad Reza
6 Ehler, Martin
6 Gelb, Anne
6 Hasannasab, Marzieh
6 Hernandez, Eugenio
6 Khosravi, Amir
6 Liu, Bei
6 Rashidi-Kouchi, Mehdi
6 San Antolín, Angel
6 Strohmer, Thomas
6 Xiang, Zhongqi
5 Barbieri, Davide Francesco
5 Bui, Huy-Qui
5 Charina, Maria
5 Dahlke, Stephan
5 Dehghan, Mohammad Ali
5 Easwaran Nambudiri, T. C.
5 Ellouz, Hanen
5 Fard, Mohammad Ali Hasankhani
5 Führ, Hartmut
5 Heineken, Sigrid B.
5 Holighaus, Nicki
5 Javanshiri, Hossein
5 Jørgensen, Palle E. T.
5 Krishtal, Ilya Arkadievich
5 Labate, Demetrio
5 Lian, Qiao-Fang
5 Lian, Qiaofang
5 Lindner, Alexander M.
5 Lu, Dayong
...and 913 more Authors
all top 5

Cited in 230 Serials

108 Applied and Computational Harmonic Analysis
75 Journal of Mathematical Analysis and Applications
70 The Journal of Fourier Analysis and Applications
44 Journal of Functional Analysis
43 Advances in Computational Mathematics
43 International Journal of Wavelets, Multiresolution and Information Processing
39 Linear Algebra and its Applications
34 Journal of Approximation Theory
30 Proceedings of the American Mathematical Society
29 Numerical Functional Analysis and Optimization
25 Results in Mathematics
19 Acta Mathematica Sinica. English Series
15 Linear and Multilinear Algebra
14 Acta Applicandae Mathematicae
14 Sahand Communications in Mathematical Analysis
13 Journal of Mathematical Physics
13 Complex Analysis and Operator Theory
12 Transactions of the American Mathematical Society
12 Banach Journal of Mathematical Analysis
12 Journal of Pseudo-Differential Operators and Applications
10 Constructive Approximation
10 Asian-European Journal of Mathematics
9 The Journal of Geometric Analysis
9 Abstract and Applied Analysis
9 Journal of Inequalities and Applications
9 Mediterranean Journal of Mathematics
9 Science China. Mathematics
7 Applicable Analysis
7 Journal of Computational and Applied Mathematics
7 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
6 Rocky Mountain Journal of Mathematics
6 Applied Mathematics and Computation
6 Integral Equations and Operator Theory
6 Mathematische Nachrichten
6 Monatshefte für Mathematik
6 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
6 Journal of Linear and Topological Algebra
6 Journal of Function Spaces
5 Indian Journal of Pure & Applied Mathematics
5 Israel Journal of Mathematics
5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
5 Annals of Functional Analysis
4 Bulletin of the Australian Mathematical Society
4 Journal of Geometry and Physics
4 Acta Mathematica Vietnamica
4 SIAM Journal on Numerical Analysis
4 Journal of Scientific Computing
4 Applied Mathematics. Series B (English Edition)
4 Georgian Mathematical Journal
4 Integral Transforms and Special Functions
4 Mathematical Problems in Engineering
4 Journal of Applied Mathematics
4 Analysis and Applications (Singapore)
4 Journal of Function Spaces and Applications
4 Journal of Mathematical Inequalities
3 Computers & Mathematics with Applications
3 Mathematical Notes
3 Advances in Mathematics
3 Canadian Mathematical Bulletin
3 Collectanea Mathematica
3 Illinois Journal of Mathematics
3 International Journal of Mathematics and Mathematical Sciences
3 Zeitschrift für Analysis und ihre Anwendungen
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Journal of Mathematical Sciences (New York)
3 EURASIP Journal on Applied Signal Processing
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Sampling Theory in Signal and Image Processing
3 S\(\vec{\text{e}}\)MA Journal
3 Axioms
3 Journal of Mathematics
2 Journal d’Analyse Mathématique
2 Mathematics of Computation
2 Chaos, Solitons and Fractals
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Archiv der Mathematik
2 Bulletin of the London Mathematical Society
2 Journal of Statistical Planning and Inference
2 Mathematische Annalen
2 Mathematics and Computers in Simulation
2 Memoirs of the American Mathematical Society
2 Ricerche di Matematica
2 Tohoku Mathematical Journal. Second Series
2 Advances in Applied Mathematics
2 Chinese Annals of Mathematics. Series B
2 Bulletin of the Iranian Mathematical Society
2 Journal of Complexity
2 Applied Mathematics Letters
2 Annals of Physics
2 European Journal of Operational Research
2 Computational Statistics and Data Analysis
2 Indagationes Mathematicae. New Series
2 Journal of Mathematical Imaging and Vision
2 Turkish Journal of Mathematics
2 Advances in Applied Clifford Algebras
2 Mathematical Physics, Analysis and Geometry
2 Taiwanese Journal of Mathematics
2 Fractional Calculus & Applied Analysis
2 Annales Henri Poincaré
2 Foundations of Computational Mathematics
...and 130 more Serials
all top 5

Cited in 50 Fields

928 Harmonic analysis on Euclidean spaces (42-XX)
301 Functional analysis (46-XX)
182 Information and communication theory, circuits (94-XX)
172 Operator theory (47-XX)
137 Numerical analysis (65-XX)
136 Approximations and expansions (41-XX)
52 Linear and multilinear algebra; matrix theory (15-XX)
41 Abstract harmonic analysis (43-XX)
34 Quantum theory (81-XX)
26 Partial differential equations (35-XX)
21 Measure and integration (28-XX)
20 Computer science (68-XX)
16 Topological groups, Lie groups (22-XX)
15 Functions of a complex variable (30-XX)
15 Special functions (33-XX)
13 Statistics (62-XX)
12 Probability theory and stochastic processes (60-XX)
10 Number theory (11-XX)
10 Ordinary differential equations (34-XX)
9 Combinatorics (05-XX)
9 Convex and discrete geometry (52-XX)
9 Operations research, mathematical programming (90-XX)
8 Real functions (26-XX)
7 Integral equations (45-XX)
6 Group theory and generalizations (20-XX)
6 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 Order, lattices, ordered algebraic structures (06-XX)
5 Dynamical systems and ergodic theory (37-XX)
5 Integral transforms, operational calculus (44-XX)
5 Calculus of variations and optimal control; optimization (49-XX)
5 Global analysis, analysis on manifolds (58-XX)
5 Mechanics of deformable solids (74-XX)
5 Systems theory; control (93-XX)
4 Differential geometry (53-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Geometry (51-XX)
2 Algebraic geometry (14-XX)
2 Difference and functional equations (39-XX)
2 Sequences, series, summability (40-XX)
2 Manifolds and cell complexes (57-XX)
2 Optics, electromagnetic theory (78-XX)
2 Biology and other natural sciences (92-XX)
1 History and biography (01-XX)
1 Field theory and polynomials (12-XX)
1 Commutative algebra (13-XX)
1 Nonassociative rings and algebras (17-XX)
1 Potential theory (31-XX)
1 General topology (54-XX)
1 Mechanics of particles and systems (70-XX)
1 Mathematics education (97-XX)

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