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Kutyniok, Gitta

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Author ID: kutyniok.gitta Recent zbMATH articles by "Kutyniok, Gitta"
Published as: Kutyniok, Gitta
Homepage: https://www.tu-berlin.de/?108957
External Links: MGP · Wikidata · ORCID · dblp · GND
Documents Indexed: 111 Publications since 1998, including 8 Books
all top 5

Co-Authors

16 single-authored
17 Casazza, Peter George
15 Lim, Wang-Q
6 Calderbank, Arthur Robert
6 Labate, Demetrio
6 Petersen, Philipp Christian
5 Grohs, Philipp
5 Heil, Christopher E.
5 Lemvig, Jakob
5 Philipp, Friedrich
5 Rauhut, Holger
4 Boche, Holger
4 Dahlke, Stephan
4 Keiper, Sandra
4 Speegle, Darrin M.
4 Strohmer, Thomas
4 Zhuang, Xiaosheng
3 Daubechies, Ingrid Chantal
3 Krahmer, Felix
3 März, Maximilian
3 Okoudjou, Kasso A.
3 Schafer, Martin
3 Steidl, Gabriele
2 Bodmann, Bernhard G.
2 Cahill, Jameson
2 Caire, Giuseppe
2 Czaja, Wojciech
2 Dahmen, Wolfgang A.
2 Genzel, Martin
2 Gröchenig, Karlheinz
2 Heinecke, Andreas
2 Jørgensen, Palle E. T.
2 Kittipoom, Pisamai
2 Ma, Jackie
2 Mathar, Rudolf
2 Ólafsson, Gestur
2 Pezeshki, Ali
2 Sauer, Tomas
2 Schwab, Christoph
2 Silvestrov, Sergei D.
2 Stevenson, Rob P.
2 Teschke, Gerd
2 Vybíral, Jan
2 Welper, Gerrit
1 Abreu, Nair Maria Maia de
1 Adcock, Ben
1 Andrade-Loarca, Hector
1 Balan, Radu V.
1 Boufounos, Petros T.
1 Bruna, Joan
1 Bubba, Tatiana A.
1 Chen, Xuemei
1 Donoho, David Leigh
1 Edidin, Dan
1 Flinth, Axel
1 Gühring, Ingo
1 Guo, Kanghui
1 Haber, Eldad
1 Han, Bin
1 Han, Deguang
1 Hansen, Anders C.
1 Hauch, Sascha
1 Helmberg, Christoph
1 Huang, Chunyan
1 Kaniuth, Eberhard
1 King, Emily Jeannette
1 Kornelson, Keri A.
1 Lammers, Mark C.
1 Larson, David Royal
1 Lassas, Matti
1 Lee, Dae Gwan
1 Li, Shidong
1 Liu, Taotao
1 Maass, Peter
1 Macdonald, Jan
1 Massopust, Peter R.
1 Mehrmann, Volker
1 Nochetto, Ricardo Horacio
1 Öktem, Ozan
1 Packer, Judith A.
1 Paternostro, Victoria
1 Pfander, Götz E.
1 Pinkus, Allan M.
1 Plonka, Gerlind
1 Pock, Thomas
1 Raslan, Mones
1 Reisenhofer, Rafael
1 Sagiv, Chen
1 Samek, Wojciech
1 Seip, Kristian
1 Shahram, Morteza
1 Shen, Zuowei
1 Siltanen, Samuli
1 Srinivasan, Vignesh
1 Stark, Hans-Georg
1 Süli, Endre E.
1 Sun, Qiyu
1 Temiyakov, Vladimir
1 Tremain, Janet C.
1 Trevisan, Vilmar
1 Tuley, Elizabeth K.
...and 3 more Co-Authors
all top 5

Serials

12 Applied and Computational Harmonic Analysis
7 Oberwolfach Reports
6 Linear Algebra and its Applications
5 SIAM Journal on Imaging Sciences
5 Applied and Numerical Harmonic Analysis
4 SIAM Journal on Mathematical Analysis
4 The Journal of Fourier Analysis and Applications
3 IEEE Transactions on Information Theory
3 Proceedings of the American Mathematical Society
3 Constructive Approximation
3 Advances in Computational Mathematics
3 GAMM-Mitteilungen
2 Journal of Mathematical Analysis and Applications
2 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV)
2 Journal of Approximation Theory
2 Journal of Operator Theory
2 The Journal of Geometric Analysis
2 Journal of Mathematical Imaging and Vision
1 Communications on Pure and Applied Mathematics
1 Houston Journal of Mathematics
1 Inverse Problems
1 ACM Transactions on Mathematical Software
1 Archiv der Mathematik
1 Colloquium Mathematicum
1 Illinois Journal of Mathematics
1 Journal of Computational and Applied Mathematics
1 Journal of Functional Analysis
1 Numerical Functional Analysis and Optimization
1 SIAM Journal on Numerical Analysis
1 Transactions of the American Mathematical Society
1 Internationale Mathematische Nachrichten
1 Computational Statistics
1 Journal of Inverse and Ill-Posed Problems
1 The Journal of Artificial Intelligence Research (JAIR)
1 Foundations of Computational Mathematics
1 Sampling Theory in Signal and Image Processing
1 Analysis and Applications (Singapore)
1 International Journal of Wavelets, Multiresolution and Information Processing
1 The Journal of Mathematical Sciences. New Series
1 Lecture Notes in Mathematics
1 Operators and Matrices

Publications by Year

Citations contained in zbMATH Open

90 Publications have been cited 1,622 times in 798 Documents Cited by Year
Frames of subspaces. Zbl 1058.42019
Casazza, Peter G.; Kutyniok, Gitta
144
2004
Fusion frames and distributed processing. Zbl 1258.42029
Casazza, Peter G.; Kutyniok, Gitta; Li, Shidong
116
2008
Resolution of the wavefront set using continuous shearlets. Zbl 1169.42012
Kutyniok, Gitta; Labate, Demetrio
87
2009
Finite frames. Theory and applications. Zbl 1257.42001
Casazza, Peter G. (ed.); Kutyniok, Gitta (ed.)
84
2013
Sparse multidimensional representations using anisotropic dilation and shear operators. Zbl 1099.65148
Guo, Kanghui; Kutyniok, Gitta; Labate, Demetrio
72
2006
Shearlet coorbit spaces and associated Banach frames. Zbl 1171.42019
Dahlke, Stephan; Kutyniok, Gitta; Steidl, Gabriele; Teschke, Gerd
65
2009
The uncertainty principle associated with the continuous Shearlet transform. Zbl 1257.42047
Dahlke, Stephan; Kutyniok, Gitta; Maass, Peter; Sagiv, Chen; Stark, Hans-Georg; Teschke, Gerd
61
2008
Shearlets. Multiscale analysis for multivariate data. Zbl 1237.42001
Kutyniok, Gitta (ed.); Labate, Demetrio (ed.)
57
2012
Compactly supported shearlets are optimally sparse. Zbl 1226.42031
Kutyniok, Gitta; Lim, Wang-Q
49
2011
Construction of compactly supported shearlet frames. Zbl 1239.42031
Kittipoom, Pisamai; Kutyniok, Gitta; Lim, Wang-Q
43
2012
Robust dimension reduction, fusion frames, and Grassmannian packings. Zbl 1283.42046
Kutyniok, Gitta; Pezeshki, Ali; Calderbank, Robert; Liu, Taotao
35
2009
Introduction to shearlets. Zbl 1251.42010
Kutyniok, Gitta; Labate, Demetrio
29
2012
Duality principles in frame theory. Zbl 1058.42020
Casazza, Peter G.; Kutyniok, Gitta; Lammers, Mark C.
28
2004
Robustness of fusion frames under erasures of subspaces and of local frame vectors. Zbl 1256.94017
Casazza, Peter G.; Kutyniok, Gitta
28
2008
Microlocal analysis of the geometric separation problem. Zbl 1261.94007
Donoho, David; Kutyniok, Gitta
27
2013
Zeros of the Zak transform on locally compact Abelian groups. Zbl 0907.43005
Kaniuth, Eberhard; Kutyniok, Gitta
26
1998
Scalable frames. Zbl 1260.42023
Kutyniok, Gitta; Okoudjou, Kasso A.; Philipp, Friedrich; Tuley, Elizabeth K.
25
2013
Parabolic molecules. Zbl 1403.42038
Grohs, Philipp; Kutyniok, Gitta
24
2014
Density of weighted wavelet frames. Zbl 1029.42031
Heil, Christopher; Kutyniok, Gitta
24
2003
Sparse fusion frames: existence and construction. Zbl 1264.94042
Calderbank, Robert; Casazza, Peter G.; Heinecke, Andreas; Kutyniok, Gitta; Pezeshki, Ali
23
2011
Optimally sparse approximations of 3D functions by compactly supported shearlet frames. Zbl 1252.42043
Kutyniok, Gitta; Lemvig, Jakob; Lim, Wang-Q
22
2012
ShearLab: a rational design of a digital parabolic scaling algorithm. Zbl 1257.42048
Kutyniok, Gitta; Shahram, Morteza; Zhuang, Xiaosheng
22
2012
The geometry of sets of parameters of wave packet frames. Zbl 1095.42020
Czaja, Wojciech; Kutyniok, Gitta; Speegle, Darrin
20
2006
Sparse recovery from combined fusion frame measurements. Zbl 1365.94066
Boufounos, Petros; Kutyniok, Gitta; Rauhut, Holger
19
2011
The Balian-Low theorem for symplectic lattices in higher dimensions. Zbl 1017.42027
Gröchenig, Karlheinz; Han, Deguang; Heil, Christopher; Kutyniok, Gitta
19
2002
Optimally sparse frames. Zbl 1365.94059
Casazza, Peter G.; Heinecke, Andreas; Krahmer, Felix; Kutyniok, Gitta
18
2011
A new identity for Parseval frames. Zbl 1136.42308
Balan, Radu; Casazza, Peter G.; Edidin, Dan; Kutyniok, Gitta
18
2007
ShearLab 3D: faithful digital shearlet transforms based on compactly supported shearlets. Zbl 1347.65203
Kutyniok, Gitta; Lim, Wang-Q; Reisenhofer, Rafael
18
2016
Classification of edges using compactly supported shearlets. Zbl 1378.42023
Kutyniok, Gitta; Petersen, Philipp
17
2017
Adaptive directional subdivision schemes and shearlet multiresolution analysis. Zbl 1193.42127
Kutyniok, Gitta; Sauer, Tomas
17
2009
Analysis of inpainting via clustered sparsity and microlocal analysis. Zbl 1362.94007
King, Emily J.; Kutyniok, Gitta; Zhuang, Xiaosheng
16
2014
Affine density in wavelet analysis. Zbl 1142.42017
Kutyniok, Gitta
16
2007
The theory of reproducing systems on locally compact abelian groups. Zbl 1113.43008
Kutyniok, Gitta; Labate, Demetrio
15
2006
Adaptive multiresolution analysis structures and shearlet systems. Zbl 1283.42053
Han, Bin; Kutyniok, Gitta; Shen, Zuowei
15
2011
Linear stable sampling rate: optimality of 2D wavelet reconstructions from Fourier measurements. Zbl 1331.42036
Adcock, Ben; Hansen, Anders C.; Kutyniok, Gitta; Ma, Jackie
13
2015
The homogeneous approximation property for wavelet frames. Zbl 1133.42049
Heil, Christopher; Kutyniok, Gitta
13
2007
Landau’s necessary density conditions for LCA groups. Zbl 1158.43004
Gröchenig, Karlheinz; Kutyniok, Gitta; Seip, Kristian
13
2008
Introduction to finite frame theory. Zbl 1281.42032
Casazza, Peter G.; Kutyniok, Gitta; Philipp, Friedrich
13
2013
A generalization of Gram-Schmidt orthogonalization generating all Parseval frames. Zbl 1118.65027
Casazza, Peter G.; Kutyniok, Gitta
11
2007
A quantitative notion of redundancy for finite frames. Zbl 1211.42027
Bodmann, Bernhard G.; Casazza, Peter G.; Kutyniok, Gitta
11
2011
Wilson bases for general time-frequency lattices. Zbl 1090.94008
Kutyniok, Gitta; Strohmer, Thomas
11
2005
Compactly supported shearlets. Zbl 1252.42042
Kutyniok, Gitta; Lemvig, Jakob; Lim, Wang-Q
11
2012
Asymptotic analysis of inpainting via universal shearlet systems. Zbl 1307.42033
Genzel, Martin; Kutyniok, Gitta
10
2014
Learning the invisible: a hybrid deep learning-shearlet framework for limited angle computed tomography. Zbl 1416.92099
Bubba, Tatiana A.; Kutyniok, Gitta; Lassas, Matti; März, Maximilian; Samek, Wojciech; Siltanen, Samuli; Srinivasan, Vignesh
10
2019
Sparsity and spectral properties of dual frames. Zbl 1280.42026
Krahmer, Felix; Kutyniok, Gitta; Lemvig, Jakob
10
2013
Theory and applications of compressed sensing. Zbl 1283.94018
Kutyniok, Gitta
10
2013
Affine density, frame bounds, and the admissibility condition for wavelet frames. Zbl 1124.42027
Kutyniok, Gitta
9
2007
Beurling dimension of Gabor pseudoframes for affine subspaces. Zbl 1268.42055
Czaja, Wojciech; Kutyniok, Gitta; Speegle, Darrin
9
2008
Geometric separation by single-pass alternating thresholding. Zbl 1357.42033
Kutyniok, Gitta
8
2014
\(\alpha\)-Molecules. Zbl 1342.42041
Grohs, Philipp; Keiper, Sandra; Kutyniok, Gitta; Schäfer, Martin
8
2016
Fusion frames. Zbl 1261.42048
Casazza, Peter G.; Kutyniok, Gitta
8
2013
Gabor shearlets. Zbl 1304.42084
Bodmann, Bernhard G.; Kutyniok, Gitta; Zhuang, Xiaosheng
7
2015
Efficient resolution of anisotropic structures. Zbl 1317.65251
Dahmen, Wolfgang; Huang, Chunyan; Kutyniok, Gitta; Lim, Wang-Q; Schwab, Christoph; Welper, Gerrit
7
2014
Linear independence of time-frequency shifts under a generalized Schrödinger representation. Zbl 0997.43006
Kutyniok, Gitta
7
2002
Image separation using wavelets and shearlets. Zbl 1345.94007
Kutyniok, Gitta; Lim, Wang-Q
7
2012
A weak qualitative uncertainty principle for compact groups. Zbl 1031.43003
Kutyniok, Gitta
6
2003
A decomposition theorem for frames and the Feichtinger conjecture. Zbl 1155.46010
Casazza, Peter G.; Kutyniok, Gitta; Speegle, Darrin; Tremain, Janet C.
5
2008
A redundant version of the Rado-Horn theorem. Zbl 1103.15001
Casazza, Peter G.; Kutyniok, Gitta; Speegle, Darrin
5
2006
Cartoon approximation with \(\alpha\)-curvelets. Zbl 1359.42018
Grohs, Philipp; Keiper, Sandra; Kutyniok, Gitta; Schäfer, Martin
5
2016
The Zak transform on certain locally compact groups. Zbl 1079.43009
Kutyniok, Gitta
5
2002
Irregular shearlet frames: Geometry and approximation properties. Zbl 1226.42030
Kittipoom, Pisamai; Kutyniok, Gitta; Lim, Wang-Q
5
2011
Digital shearlet transforms. Zbl 1255.94021
Kutyniok, Gitta; Lim, Wang-Q; Zhuang, Xiaosheng
5
2012
Operators and frames. Zbl 1289.42088
Cahill, Jameson; Casazza, Peter G.; Kutyniok, Gitta
5
2013
PROMP: a sparse recovery approach to lattice-valued signals. Zbl 1408.94862
Flinth, Axel; Kutyniok, Gitta
5
2018
Compressed sensing for finite-valued signals. Zbl 1370.94153
Keiper, Sandra; Kutyniok, Gitta; Lee, Dae Gwan; Pfander, Götz E.
4
2017
Beurling density and shift-invariant weighted irregular Gabor systems. Zbl 1156.42311
Kutyniok, Gitta
4
2006
Density of frames and Schauder bases of windowed exponentials. Zbl 1214.42070
Heil, Christopher; Kutyniok, Gitta
4
2008
A survey of compressed sensing. Zbl 1333.94015
Boche, Holger; Calderbank, Robert; Kutyniok, Gitta; Vybíral, Jan
4
2015
Optimal compressive imaging of Fourier data. Zbl 1437.94043
Kutyniok, Gitta; Lim, Wang-Q
4
2018
Time-frequency analysis on locally compact groups. Zbl 0971.43001
Kutyniok, Gitta
4
2000
A qualitative uncertainty principle for functions generating a Gabor frame on LCA groups. Zbl 1023.43003
Kutyniok, Gitta
4
2003
Shearlets and optimally sparse approximations. Zbl 1251.42008
Kutyniok, Gitta; Lemvig, Jakob; Lim, Wang-Q
4
2012
Regularization and numerical solution of the inverse scattering problem using shearlet frames. Zbl 1365.65244
Kutyniok, Gitta; Mehrmann, Volker; Petersen, Philipp C.
3
2017
The effect of perturbations of operator-valued frame sequences and fusion frames on their duals. Zbl 1383.42031
Kutyniok, Gitta; Paternostro, Victoria; Philipp, Friedrich
3
2017
Scalable frames and convex geometry. Zbl 1307.42029
Kutyniok, Gitta; Okoudjou, Kasso A.; Philipp, Friedrich
3
2014
From wavelets to shearlets and back again. Zbl 1227.65139
Kutyniok, Gitta; Sauer, Tomas
3
2008
The local integrability condition for wavelet frames. Zbl 1101.42018
Kutyniok, Gitta
3
2006
Adaptive anisotropic Petrov-Galerkin methods for first order transport equations. Zbl 1435.65197
Dahmen, Wolfgang; Kutyniok, Gitta; Lim, Wang-Q; Schwab, Christoph; Welper, Gerrit
3
2018
Shearlets on bounded domains. Zbl 1253.42035
Kutyniok, Gitta; Lim, Wang-Q
3
2012
Parabolic molecules: Curvelets, shearlets, and beyond. Zbl 1331.42038
Grohs, Philipp; Keiper, Sandra; Kutyniok, Gitta; Schäfer, Martin
2
2014
Measures of scalability. Zbl 1359.94307
Chen, Xuemei; Kutyniok, Gitta; Okoudjou, Kasso A.; Philipp, Friedrich; Wang, Rongrong
2
2015
Shearlets: theory and applications. Zbl 1311.42091
Kutyniok, Gitta; Lim, Wang-Q; Steidl, Gabriele
2
2014
Compressed sensing and its applications. MATHEON workshop, Berlin, Germany, December 2013. Zbl 1320.94007
Boche, Holger (ed.); Calderbank, Robert (ed.); Kutyniok, Gitta (ed.); Vybíral, Jan (ed.)
2
2015
Mini-workshop: Shearlets. Abstracts from the mini-workshop held October 3rd – October 9th, 2010. Zbl 1235.00037
Kutyniok, Gitta (ed.); Labate, Demetrio (ed.)
2
2010
Clustered sparsity and separation of cartoon and texture. Zbl 1280.42036
Kutyniok, Gitta
2
2013
Error bounds for approximations with deep ReLU neural networks in \(W^{s , p}\) norms. Zbl 1452.41009
Gühring, Ingo; Kutyniok, Gitta; Petersen, Philipp
2
2020
Sparse matrices in frame theory. Zbl 1306.65082
Krahmer, Felix; Kutyniok, Gitta; Lemvig, Jakob
1
2014
Ambiguity functions, Wigner distributions and Cohen’s class for LCA groups. Zbl 1032.43002
Kutyniok, Gitta
1
2003
Compressed sensing. Zbl 1336.94022
Kutyniok, Gitta
1
2014
Dualizable shearlet frames and sparse approximation. Zbl 1366.65119
Kutyniok, Gitta; Lim, Wang-Q
1
2016
Error bounds for approximations with deep ReLU neural networks in \(W^{s , p}\) norms. Zbl 1452.41009
Gühring, Ingo; Kutyniok, Gitta; Petersen, Philipp
2
2020
Learning the invisible: a hybrid deep learning-shearlet framework for limited angle computed tomography. Zbl 1416.92099
Bubba, Tatiana A.; Kutyniok, Gitta; Lassas, Matti; März, Maximilian; Samek, Wojciech; Siltanen, Samuli; Srinivasan, Vignesh
10
2019
PROMP: a sparse recovery approach to lattice-valued signals. Zbl 1408.94862
Flinth, Axel; Kutyniok, Gitta
5
2018
Optimal compressive imaging of Fourier data. Zbl 1437.94043
Kutyniok, Gitta; Lim, Wang-Q
4
2018
Adaptive anisotropic Petrov-Galerkin methods for first order transport equations. Zbl 1435.65197
Dahmen, Wolfgang; Kutyniok, Gitta; Lim, Wang-Q; Schwab, Christoph; Welper, Gerrit
3
2018
Classification of edges using compactly supported shearlets. Zbl 1378.42023
Kutyniok, Gitta; Petersen, Philipp
17
2017
Compressed sensing for finite-valued signals. Zbl 1370.94153
Keiper, Sandra; Kutyniok, Gitta; Lee, Dae Gwan; Pfander, Götz E.
4
2017
Regularization and numerical solution of the inverse scattering problem using shearlet frames. Zbl 1365.65244
Kutyniok, Gitta; Mehrmann, Volker; Petersen, Philipp C.
3
2017
The effect of perturbations of operator-valued frame sequences and fusion frames on their duals. Zbl 1383.42031
Kutyniok, Gitta; Paternostro, Victoria; Philipp, Friedrich
3
2017
ShearLab 3D: faithful digital shearlet transforms based on compactly supported shearlets. Zbl 1347.65203
Kutyniok, Gitta; Lim, Wang-Q; Reisenhofer, Rafael
18
2016
\(\alpha\)-Molecules. Zbl 1342.42041
Grohs, Philipp; Keiper, Sandra; Kutyniok, Gitta; Schäfer, Martin
8
2016
Cartoon approximation with \(\alpha\)-curvelets. Zbl 1359.42018
Grohs, Philipp; Keiper, Sandra; Kutyniok, Gitta; Schäfer, Martin
5
2016
Dualizable shearlet frames and sparse approximation. Zbl 1366.65119
Kutyniok, Gitta; Lim, Wang-Q
1
2016
Linear stable sampling rate: optimality of 2D wavelet reconstructions from Fourier measurements. Zbl 1331.42036
Adcock, Ben; Hansen, Anders C.; Kutyniok, Gitta; Ma, Jackie
13
2015
Gabor shearlets. Zbl 1304.42084
Bodmann, Bernhard G.; Kutyniok, Gitta; Zhuang, Xiaosheng
7
2015
A survey of compressed sensing. Zbl 1333.94015
Boche, Holger; Calderbank, Robert; Kutyniok, Gitta; Vybíral, Jan
4
2015
Measures of scalability. Zbl 1359.94307
Chen, Xuemei; Kutyniok, Gitta; Okoudjou, Kasso A.; Philipp, Friedrich; Wang, Rongrong
2
2015
Compressed sensing and its applications. MATHEON workshop, Berlin, Germany, December 2013. Zbl 1320.94007
Boche, Holger; Calderbank, Robert; Kutyniok, Gitta; Vybíral, Jan
2
2015
Parabolic molecules. Zbl 1403.42038
Grohs, Philipp; Kutyniok, Gitta
24
2014
Analysis of inpainting via clustered sparsity and microlocal analysis. Zbl 1362.94007
King, Emily J.; Kutyniok, Gitta; Zhuang, Xiaosheng
16
2014
Asymptotic analysis of inpainting via universal shearlet systems. Zbl 1307.42033
Genzel, Martin; Kutyniok, Gitta
10
2014
Geometric separation by single-pass alternating thresholding. Zbl 1357.42033
Kutyniok, Gitta
8
2014
Efficient resolution of anisotropic structures. Zbl 1317.65251
Dahmen, Wolfgang; Huang, Chunyan; Kutyniok, Gitta; Lim, Wang-Q; Schwab, Christoph; Welper, Gerrit
7
2014
Scalable frames and convex geometry. Zbl 1307.42029
Kutyniok, Gitta; Okoudjou, Kasso A.; Philipp, Friedrich
3
2014
Parabolic molecules: Curvelets, shearlets, and beyond. Zbl 1331.42038
Grohs, Philipp; Keiper, Sandra; Kutyniok, Gitta; Schäfer, Martin
2
2014
Shearlets: theory and applications. Zbl 1311.42091
Kutyniok, Gitta; Lim, Wang-Q; Steidl, Gabriele
2
2014
Sparse matrices in frame theory. Zbl 1306.65082
Krahmer, Felix; Kutyniok, Gitta; Lemvig, Jakob
1
2014
Compressed sensing. Zbl 1336.94022
Kutyniok, Gitta
1
2014
Finite frames. Theory and applications. Zbl 1257.42001
Casazza, Peter G.; Kutyniok, Gitta
84
2013
Microlocal analysis of the geometric separation problem. Zbl 1261.94007
Donoho, David; Kutyniok, Gitta
27
2013
Scalable frames. Zbl 1260.42023
Kutyniok, Gitta; Okoudjou, Kasso A.; Philipp, Friedrich; Tuley, Elizabeth K.
25
2013
Introduction to finite frame theory. Zbl 1281.42032
Casazza, Peter G.; Kutyniok, Gitta; Philipp, Friedrich
13
2013
Sparsity and spectral properties of dual frames. Zbl 1280.42026
Krahmer, Felix; Kutyniok, Gitta; Lemvig, Jakob
10
2013
Theory and applications of compressed sensing. Zbl 1283.94018
Kutyniok, Gitta
10
2013
Fusion frames. Zbl 1261.42048
Casazza, Peter G.; Kutyniok, Gitta
8
2013
Operators and frames. Zbl 1289.42088
Cahill, Jameson; Casazza, Peter G.; Kutyniok, Gitta
5
2013
Clustered sparsity and separation of cartoon and texture. Zbl 1280.42036
Kutyniok, Gitta
2
2013
Shearlets. Multiscale analysis for multivariate data. Zbl 1237.42001
Kutyniok, Gitta; Labate, Demetrio
57
2012
Construction of compactly supported shearlet frames. Zbl 1239.42031
Kittipoom, Pisamai; Kutyniok, Gitta; Lim, Wang-Q
43
2012
Introduction to shearlets. Zbl 1251.42010
Kutyniok, Gitta; Labate, Demetrio
29
2012
Optimally sparse approximations of 3D functions by compactly supported shearlet frames. Zbl 1252.42043
Kutyniok, Gitta; Lemvig, Jakob; Lim, Wang-Q
22
2012
ShearLab: a rational design of a digital parabolic scaling algorithm. Zbl 1257.42048
Kutyniok, Gitta; Shahram, Morteza; Zhuang, Xiaosheng
22
2012
Compactly supported shearlets. Zbl 1252.42042
Kutyniok, Gitta; Lemvig, Jakob; Lim, Wang-Q
11
2012
Image separation using wavelets and shearlets. Zbl 1345.94007
Kutyniok, Gitta; Lim, Wang-Q
7
2012
Digital shearlet transforms. Zbl 1255.94021
Kutyniok, Gitta; Lim, Wang-Q; Zhuang, Xiaosheng
5
2012
Shearlets and optimally sparse approximations. Zbl 1251.42008
Kutyniok, Gitta; Lemvig, Jakob; Lim, Wang-Q
4
2012
Shearlets on bounded domains. Zbl 1253.42035
Kutyniok, Gitta; Lim, Wang-Q
3
2012
Compactly supported shearlets are optimally sparse. Zbl 1226.42031
Kutyniok, Gitta; Lim, Wang-Q
49
2011
Sparse fusion frames: existence and construction. Zbl 1264.94042
Calderbank, Robert; Casazza, Peter G.; Heinecke, Andreas; Kutyniok, Gitta; Pezeshki, Ali
23
2011
Sparse recovery from combined fusion frame measurements. Zbl 1365.94066
Boufounos, Petros; Kutyniok, Gitta; Rauhut, Holger
19
2011
Optimally sparse frames. Zbl 1365.94059
Casazza, Peter G.; Heinecke, Andreas; Krahmer, Felix; Kutyniok, Gitta
18
2011
Adaptive multiresolution analysis structures and shearlet systems. Zbl 1283.42053
Han, Bin; Kutyniok, Gitta; Shen, Zuowei
15
2011
A quantitative notion of redundancy for finite frames. Zbl 1211.42027
Bodmann, Bernhard G.; Casazza, Peter G.; Kutyniok, Gitta
11
2011
Irregular shearlet frames: Geometry and approximation properties. Zbl 1226.42030
Kittipoom, Pisamai; Kutyniok, Gitta; Lim, Wang-Q
5
2011
Mini-workshop: Shearlets. Abstracts from the mini-workshop held October 3rd – October 9th, 2010. Zbl 1235.00037
Kutyniok, Gitta; Labate, Demetrio
2
2010
Resolution of the wavefront set using continuous shearlets. Zbl 1169.42012
Kutyniok, Gitta; Labate, Demetrio
87
2009
Shearlet coorbit spaces and associated Banach frames. Zbl 1171.42019
Dahlke, Stephan; Kutyniok, Gitta; Steidl, Gabriele; Teschke, Gerd
65
2009
Robust dimension reduction, fusion frames, and Grassmannian packings. Zbl 1283.42046
Kutyniok, Gitta; Pezeshki, Ali; Calderbank, Robert; Liu, Taotao
35
2009
Adaptive directional subdivision schemes and shearlet multiresolution analysis. Zbl 1193.42127
Kutyniok, Gitta; Sauer, Tomas
17
2009
Fusion frames and distributed processing. Zbl 1258.42029
Casazza, Peter G.; Kutyniok, Gitta; Li, Shidong
116
2008
The uncertainty principle associated with the continuous Shearlet transform. Zbl 1257.42047
Dahlke, Stephan; Kutyniok, Gitta; Maass, Peter; Sagiv, Chen; Stark, Hans-Georg; Teschke, Gerd
61
2008
Robustness of fusion frames under erasures of subspaces and of local frame vectors. Zbl 1256.94017
Casazza, Peter G.; Kutyniok, Gitta
28
2008
Landau’s necessary density conditions for LCA groups. Zbl 1158.43004
Gröchenig, Karlheinz; Kutyniok, Gitta; Seip, Kristian
13
2008
Beurling dimension of Gabor pseudoframes for affine subspaces. Zbl 1268.42055
Czaja, Wojciech; Kutyniok, Gitta; Speegle, Darrin
9
2008
A decomposition theorem for frames and the Feichtinger conjecture. Zbl 1155.46010
Casazza, Peter G.; Kutyniok, Gitta; Speegle, Darrin; Tremain, Janet C.
5
2008
Density of frames and Schauder bases of windowed exponentials. Zbl 1214.42070
Heil, Christopher; Kutyniok, Gitta
4
2008
From wavelets to shearlets and back again. Zbl 1227.65139
Kutyniok, Gitta; Sauer, Tomas
3
2008
A new identity for Parseval frames. Zbl 1136.42308
Balan, Radu; Casazza, Peter G.; Edidin, Dan; Kutyniok, Gitta
18
2007
Affine density in wavelet analysis. Zbl 1142.42017
Kutyniok, Gitta
16
2007
The homogeneous approximation property for wavelet frames. Zbl 1133.42049
Heil, Christopher; Kutyniok, Gitta
13
2007
A generalization of Gram-Schmidt orthogonalization generating all Parseval frames. Zbl 1118.65027
Casazza, Peter G.; Kutyniok, Gitta
11
2007
Affine density, frame bounds, and the admissibility condition for wavelet frames. Zbl 1124.42027
Kutyniok, Gitta
9
2007
Sparse multidimensional representations using anisotropic dilation and shear operators. Zbl 1099.65148
Guo, Kanghui; Kutyniok, Gitta; Labate, Demetrio
72
2006
The geometry of sets of parameters of wave packet frames. Zbl 1095.42020
Czaja, Wojciech; Kutyniok, Gitta; Speegle, Darrin
20
2006
The theory of reproducing systems on locally compact abelian groups. Zbl 1113.43008
Kutyniok, Gitta; Labate, Demetrio
15
2006
A redundant version of the Rado-Horn theorem. Zbl 1103.15001
Casazza, Peter G.; Kutyniok, Gitta; Speegle, Darrin
5
2006
Beurling density and shift-invariant weighted irregular Gabor systems. Zbl 1156.42311
Kutyniok, Gitta
4
2006
The local integrability condition for wavelet frames. Zbl 1101.42018
Kutyniok, Gitta
3
2006
Wilson bases for general time-frequency lattices. Zbl 1090.94008
Kutyniok, Gitta; Strohmer, Thomas
11
2005
Frames of subspaces. Zbl 1058.42019
Casazza, Peter G.; Kutyniok, Gitta
144
2004
Duality principles in frame theory. Zbl 1058.42020
Casazza, Peter G.; Kutyniok, Gitta; Lammers, Mark C.
28
2004
Density of weighted wavelet frames. Zbl 1029.42031
Heil, Christopher; Kutyniok, Gitta
24
2003
A weak qualitative uncertainty principle for compact groups. Zbl 1031.43003
Kutyniok, Gitta
6
2003
A qualitative uncertainty principle for functions generating a Gabor frame on LCA groups. Zbl 1023.43003
Kutyniok, Gitta
4
2003
Ambiguity functions, Wigner distributions and Cohen’s class for LCA groups. Zbl 1032.43002
Kutyniok, Gitta
1
2003
The Balian-Low theorem for symplectic lattices in higher dimensions. Zbl 1017.42027
Gröchenig, Karlheinz; Han, Deguang; Heil, Christopher; Kutyniok, Gitta
19
2002
Linear independence of time-frequency shifts under a generalized Schrödinger representation. Zbl 0997.43006
Kutyniok, Gitta
7
2002
The Zak transform on certain locally compact groups. Zbl 1079.43009
Kutyniok, Gitta
5
2002
Time-frequency analysis on locally compact groups. Zbl 0971.43001
Kutyniok, Gitta
4
2000
Zeros of the Zak transform on locally compact Abelian groups. Zbl 0907.43005
Kaniuth, Eberhard; Kutyniok, Gitta
26
1998
all top 5

Cited by 927 Authors

41 Kutyniok, Gitta
26 Casazza, Peter George
23 Labate, Demetrio
20 Sun, Wenchang
19 Grohs, Philipp
17 Arefijamaal, Ali Akbar
15 Han, Deguang
14 Bodmann, Bernhard G.
14 Guo, Kanghui
13 Leng, Jinsong
13 Zhu, Yucan
12 Steidl, Gabriele
12 Vashisht, Lalit Kumar
11 De Vito, Ernesto
11 Hansen, Anders C.
11 Kamyabi-Gol, Rajab Ali
11 Petersen, Philipp Christian
10 Christensen, Ole
10 Dahlke, Stephan
10 Lim, Wang-Q
10 Okoudjou, Kasso A.
10 Rahimi, Asghar
10 Zhuang, Xiaosheng
9 Adcock, Ben
9 Aldroubi, Akram
9 Cabrelli, Carlos A.
9 De Mari, Filippo
9 Fickus, Matthew C.
9 Lemvig, Jakob
9 Massey, Pedro G.
9 Mixon, Dustin G.
9 Powell, Alexander M.
9 Stojanoff, Demetrio
9 Teschke, Gerd
9 Xiao, Xiangchun
8 Asgari, Mohammad Sadegh
8 Balazs, Peter
8 Führ, Hartmut
8 Gabardo, Jean-Pierre
8 Jørgensen, Palle E. T.
8 Kaushik, Shiv Kumar
8 Li, Dongwei
8 Ruiz, Mariano A.
8 Shah, Firdous Ahmad
8 Speegle, Darrin M.
7 Ahmadi, Reza H.
7 Czaja, Wojciech
7 Farashahi, Arash Ghaani
7 Pfander, Götz E.
6 Askari-Hemmat, Ataollah
6 Benedetto, John J.
6 Chen, Xuemei
6 Feichtinger, Hans Georg
6 Gröchenig, Karlheinz
6 Han, Bin
6 Häuser, Sören
6 Huang, Ting-Zhu
6 Khosravi, Amir
6 King, Emily Jeannette
6 Shamsabadi, Mitra
6 Raisi Tousi, Reihaneh
5 Alberti, Giovanni S.
5 Deepshikha
5 Dutkay, Dorin Ervin
5 Ehler, Martin
5 Heil, Christopher E.
5 Jakobsen, Mads Sielemann
5 Javanshiri, Hossein
5 Krahmer, Felix
5 Larson, David Royal
5 Li, Yunzhang
5 Needell, Deanna
5 Neyshaburi, Fahimeh Arabyani
5 Peterson, Jesse D.
5 Rahimlou, Gholamreza
5 Sadri, Vahid
5 Sun, Qiyu
5 Tantary, Azhar Y.
5 Vera, Daniel J.
5 Verma, Geetika
5 Voigtlaender, Felix
5 Xiang, Zhongqi
4 Abreu, Luís Daniel
4 Amiri, Zahra
4 Balan, Radu V.
4 Bartolucci, Francesca
4 Bownik, Marcin
4 Bubba, Tatiana A.
4 Cahill, Jameson
4 Daraby, Bayaz
4 Fukshansky, Lenny
4 Gataric, Milana
4 Jasper, John
4 Keiper, Sandra
4 Li, Shidong
4 Liu, Bei
4 Luef, Franz
4 Lv, Fusheng
4 Ma, Jackie
4 Mirzaee Azandaryani, Morteza
...and 827 more Authors
all top 5

Cited in 163 Serials

101 Applied and Computational Harmonic Analysis
62 The Journal of Fourier Analysis and Applications
38 Journal of Mathematical Analysis and Applications
38 International Journal of Wavelets, Multiresolution and Information Processing
34 Linear Algebra and its Applications
25 Advances in Computational Mathematics
18 Journal of Functional Analysis
17 Results in Mathematics
16 Journal of Approximation Theory
14 Sahand Communications in Mathematical Analysis
13 Numerical Functional Analysis and Optimization
13 Proceedings of the American Mathematical Society
10 Acta Applicandae Mathematicae
10 Mediterranean Journal of Mathematics
9 Inverse Problems
9 Complex Analysis and Operator Theory
9 SIAM Journal on Imaging Sciences
8 Transactions of the American Mathematical Society
8 Journal of Pseudo-Differential Operators and Applications
7 Journal of Mathematical Physics
7 Linear and Multilinear Algebra
7 Applied Mathematics and Computation
7 Constructive Approximation
7 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
7 Acta Mathematica Sinica. English Series
6 Applicable Analysis
6 Journal of Mathematical Imaging and Vision
5 Journal of Computational and Applied Mathematics
5 Monatshefte für Mathematik
5 The Journal of Geometric Analysis
5 SIAM Journal on Mathematical Analysis
5 Advances in Applied Clifford Algebras
4 Indian Journal of Pure & Applied Mathematics
4 Collectanea Mathematica
4 Applied Mathematics Letters
4 Integral Transforms and Special Functions
4 Abstract and Applied Analysis
4 Journal of Inequalities and Applications
4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
4 Sampling Theory in Signal and Image Processing
4 Analysis and Applications (Singapore)
4 Science China. Mathematics
4 Analysis and Mathematical Physics
4 Wavelets and Linear Algebra
3 Mathematics of Computation
3 Advances in Mathematics
3 Mathematische Nachrichten
3 Advances in Applied Mathematics
3 Circuits, Systems, and Signal Processing
3 SIAM Journal on Scientific Computing
3 Opuscula Mathematica
3 Acta Numerica
3 Journal of Physics A: Mathematical and Theoretical
3 Asian-European Journal of Mathematics
3 Palestine Journal of Mathematics
3 Journal of Mathematics
3 Journal of Linear and Topological Algebra
2 Journal of the Franklin Institute
2 Rocky Mountain Journal of Mathematics
2 Ukrainian Mathematical Journal
2 ACM Transactions on Mathematical Software
2 Illinois Journal of Mathematics
2 International Journal of Mathematics and Mathematical Sciences
2 Mathematics and Computers in Simulation
2 Memoirs of the American Mathematical Society
2 Journal of Complexity
2 Discrete & Computational Geometry
2 SIAM Journal on Matrix Analysis and Applications
2 Multidimensional Systems and Signal Processing
2 Computational Statistics
2 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Expositiones Mathematicae
2 Indagationes Mathematicae. New Series
2 Georgian Mathematical Journal
2 Mathematical Problems in Engineering
2 Mathematical Physics, Analysis and Geometry
2 Lobachevskii Journal of Mathematics
2 Foundations of Computational Mathematics
2 Journal of Applied Mathematics
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 GAMM-Mitteilungen
2 Inverse Problems and Imaging
2 Journal of Mathematical Inequalities
2 Banach Journal of Mathematical Analysis
2 Annals of Functional Analysis
2 Symmetry
2 S\(\vec{\text{e}}\)MA Journal
2 Arabian Journal of Mathematics
2 Forum of Mathematics, Sigma
2 Problemy Analiza. Issues of Analysis
2 Journal of Function Spaces
1 Bulletin of the Australian Mathematical Society
1 Computers & Mathematics with Applications
1 Communications on Pure and Applied Mathematics
1 Discrete Applied Mathematics
1 Chaos, Solitons and Fractals
1 Journal of Geometry and Physics
1 Archiv der Mathematik
1 Integral Equations and Operator Theory
...and 63 more Serials
all top 5

Cited in 52 Fields

625 Harmonic analysis on Euclidean spaces (42-XX)
183 Information and communication theory, circuits (94-XX)
160 Functional analysis (46-XX)
127 Numerical analysis (65-XX)
74 Operator theory (47-XX)
72 Approximations and expansions (41-XX)
61 Abstract harmonic analysis (43-XX)
49 Computer science (68-XX)
44 Linear and multilinear algebra; matrix theory (15-XX)
33 Topological groups, Lie groups (22-XX)
22 Integral transforms, operational calculus (44-XX)
21 Quantum theory (81-XX)
20 Biology and other natural sciences (92-XX)
19 Statistics (62-XX)
18 Combinatorics (05-XX)
17 Partial differential equations (35-XX)
17 Operations research, mathematical programming (90-XX)
16 Convex and discrete geometry (52-XX)
13 Group theory and generalizations (20-XX)
12 Number theory (11-XX)
12 Probability theory and stochastic processes (60-XX)
9 Measure and integration (28-XX)
8 Functions of a complex variable (30-XX)
6 Real functions (26-XX)
5 Special functions (33-XX)
5 Calculus of variations and optimal control; optimization (49-XX)
4 Order, lattices, ordered algebraic structures (06-XX)
4 Global analysis, analysis on manifolds (58-XX)
4 Systems theory; control (93-XX)
3 Commutative algebra (13-XX)
3 Algebraic geometry (14-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Ordinary differential equations (34-XX)
3 Dynamical systems and ergodic theory (37-XX)
3 Difference and functional equations (39-XX)
3 Integral equations (45-XX)
3 Geometry (51-XX)
3 Differential geometry (53-XX)
3 Optics, electromagnetic theory (78-XX)
2 General and overarching topics; collections (00-XX)
2 Potential theory (31-XX)
2 Mechanics of deformable solids (74-XX)
2 Mathematics education (97-XX)
1 Mathematical logic and foundations (03-XX)
1 Associative rings and algebras (16-XX)
1 \(K\)-theory (19-XX)
1 Sequences, series, summability (40-XX)
1 General topology (54-XX)
1 Manifolds and cell complexes (57-XX)
1 Mechanics of particles and systems (70-XX)
1 Fluid mechanics (76-XX)
1 Geophysics (86-XX)

Citations by Year

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