×
Compute Distance To:
Author ID: kutyniok.gitta Recent zbMATH articles by "Kutyniok, Gitta"
Published as: Kutyniok, Gitta
Homepage: https://www.ai.math.uni-muenchen.de/members/professor/kutyniok/index.html
External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · dblp · GND · IdRef
all top 5

Co-Authors

16 single-authored
17 Casazza, Peter George
15 Lim, Wang-Q
10 Petersen, Philipp Christian
6 Calderbank, Arthur Robert
6 Grohs, Philipp
6 Labate, Demetrio
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 Andrade-Loarca, Hector
3 Daubechies, Ingrid Chantal
3 Krahmer, Felix
3 März, Maximilian
3 Okoudjou, Kasso A.
3 Öktem, Ozan
3 Raslan, Mones
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 Schneider, Reinhold
2 Schwab, Christoph
2 Silvestrov, Sergei D.
2 Stevenson, Rob P.
2 Teschke, Gerd
2 Vybíral, Jan
2 Welper, Gerrit
1 Adcock, Ben
1 Balan, Radu V.
1 Bölcskei, Helmut
1 Boufounos, Petros T.
1 Bruna, Joan
1 Bubba, Tatiana A.
1 Chen, Xuemei
1 de Abreu, Nair Maria Maia
1 Do, Van Tiep
1 Donoho, David Leigh
1 Edidin, Dan
1 Flinth, Axel
1 Geist, Moritz
1 Gribonval, Rémi
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 J.
1 Lee, Dae Gwan
1 Levie, Ron
1 Li, Shidong
1 Liu, Taotao
1 Maass, Peter
1 Macdonald, Jan
1 Massopust, Peter R.
1 Mehrmann, Volker
1 Nielsen, Morten
1 Nochetto, Ricardo Horacio
1 Packer, Judith A.
1 Paternostro, Victoria
1 Pfander, Götz E.
1 Pinkus, Allan M.
1 Plonka, Gerlind
1 Pock, Thomas
1 Reisenhofer, Rafael
1 Sagiv, Chen
1 Samek, Wojciech
1 Seip, Kristian
1 Shahram, Morteza
1 Shen, Zuowei
1 Siltanen, Samuli
1 Srinivasan, Vignesh
...and 11 more Co-Authors
all top 5

Serials

13 Applied and Computational Harmonic Analysis
7 Oberwolfach Reports
6 Linear Algebra and its Applications
5 Constructive Approximation
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 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
2 Analysis and Applications (Singapore)
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 Journal of Scientific Computing
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 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
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 SIAM Journal on Mathematics of Data Science

Publications by Year

Citations contained in zbMATH Open

96 Publications have been cited 1,873 times in 954 Documents Cited by Year
Frames of subspaces. Zbl 1058.42019
Casazza, Peter G.; Kutyniok, Gitta
172
2004
Fusion frames and distributed processing. Zbl 1258.42029
Casazza, Peter G.; Kutyniok, Gitta; Li, Shidong
138
2008
Finite frames. Theory and applications. Zbl 1257.42001
101
2013
Resolution of the wavefront set using continuous shearlets. Zbl 1169.42012
Kutyniok, Gitta; Labate, Demetrio
94
2009
Sparse multidimensional representations using anisotropic dilation and shear operators. Zbl 1099.65148
Guo, Kanghui; Kutyniok, Gitta; Labate, Demetrio
83
2006
Shearlet coorbit spaces and associated Banach frames. Zbl 1171.42019
Dahlke, Stephan; Kutyniok, Gitta; Steidl, Gabriele; Teschke, Gerd
71
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
66
2008
Shearlets. Multiscale analysis for multivariate data. Zbl 1237.42001
64
2012
Compactly supported shearlets are optimally sparse. Zbl 1226.42031
Kutyniok, Gitta; Lim, Wang-Q
54
2011
Construction of compactly supported shearlet frames. Zbl 1239.42031
Kittipoom, Pisamai; Kutyniok, Gitta; Lim, Wang-Q
45
2012
Robust dimension reduction, fusion frames, and Grassmannian packings. Zbl 1283.42046
Kutyniok, Gitta; Pezeshki, Ali; Calderbank, Robert; Liu, Taotao
38
2009
Duality principles in frame theory. Zbl 1058.42020
Casazza, Peter G.; Kutyniok, Gitta; Lammers, Mark C.
34
2004
Introduction to shearlets. Zbl 1251.42010
Kutyniok, Gitta; Labate, Demetrio
32
2012
Microlocal analysis of the geometric separation problem. Zbl 1261.94007
Donoho, David; Kutyniok, Gitta
30
2013
Zeros of the Zak transform on locally compact Abelian groups. Zbl 0907.43005
Kaniuth, Eberhard; Kutyniok, Gitta
29
1998
Robustness of fusion frames under erasures of subspaces and of local frame vectors. Zbl 1256.94017
Casazza, Peter G.; Kutyniok, Gitta
28
2008
Scalable frames. Zbl 1260.42023
Kutyniok, Gitta; Okoudjou, Kasso A.; Philipp, Friedrich; Tuley, Elizabeth K.
28
2013
Parabolic molecules. Zbl 1403.42038
Grohs, Philipp; Kutyniok, Gitta
26
2014
A new identity for Parseval frames. Zbl 1136.42308
Balan, Radu; Casazza, Peter G.; Edidin, Dan; Kutyniok, Gitta
25
2007
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
24
2011
Optimally sparse approximations of 3D functions by compactly supported shearlet frames. Zbl 1252.42043
Kutyniok, Gitta; Lemvig, Jakob; Lim, Wang-Q
24
2012
ShearLab 3D: faithful digital shearlet transforms based on compactly supported shearlets. Zbl 1347.65203
Kutyniok, Gitta; Lim, Wang-Q; Reisenhofer, Rafael
22
2016
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
21
2006
The Balian-Low theorem for symplectic lattices in higher dimensions. Zbl 1017.42027
Gröchenig, Karlheinz; Han, Deguang; Heil, Christopher; Kutyniok, Gitta
21
2002
Classification of edges using compactly supported shearlets. Zbl 1378.42023
Kutyniok, Gitta; Petersen, Philipp
20
2017
Optimally sparse frames. Zbl 1365.94059
Casazza, Peter G.; Heinecke, Andreas; Krahmer, Felix; Kutyniok, Gitta
20
2011
Error bounds for approximations with deep ReLU neural networks in \(W^{s , p}\) norms. Zbl 1452.41009
Gühring, Ingo; Kutyniok, Gitta; Petersen, Philipp
19
2020
Sparse recovery from combined fusion frame measurements. Zbl 1365.94066
Boufounos, Petros; Kutyniok, Gitta; Rauhut, Holger
19
2011
Analysis of inpainting via clustered sparsity and microlocal analysis. Zbl 1362.94007
King, Emily J.; Kutyniok, Gitta; Zhuang, Xiaosheng
18
2014
Introduction to finite frame theory. Zbl 1281.42032
Casazza, Peter G.; Kutyniok, Gitta; Philipp, Friedrich
17
2013
Adaptive directional subdivision schemes and shearlet multiresolution analysis. Zbl 1193.42127
Kutyniok, Gitta; Sauer, Tomas
17
2009
Affine density in wavelet analysis. Zbl 1142.42017
Kutyniok, Gitta
17
2007
Adaptive multiresolution analysis structures and shearlet systems. Zbl 1283.42053
Han, Bin; Kutyniok, Gitta; Shen, Zuowei
17
2011
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
16
2019
The theory of reproducing systems on locally compact abelian groups. Zbl 1113.43008
Kutyniok, Gitta; Labate, Demetrio
16
2006
Linear stable sampling rate: optimality of 2D wavelet reconstructions from Fourier measurements. Zbl 1331.42036
Adcock, Ben; Hansen, Anders C.; Kutyniok, Gitta; Ma, Jackie
15
2015
Landau’s necessary density conditions for LCA groups. Zbl 1158.43004
Gröchenig, Karlheinz; Kutyniok, Gitta; Seip, Kristian
14
2008
The homogeneous approximation property for wavelet frames. Zbl 1133.42049
Heil, Christopher; Kutyniok, Gitta
14
2007
Wilson bases for general time-frequency lattices. Zbl 1090.94008
Kutyniok, Gitta; Strohmer, Thomas
12
2005
A quantitative notion of redundancy for finite frames. Zbl 1211.42027
Bodmann, Bernhard G.; Casazza, Peter G.; Kutyniok, Gitta
12
2011
Optimal approximation with sparsely connected deep neural networks. Zbl 07468819
Bölcskei, Helmut; Grohs, Philipp; Kutyniok, Gitta; Petersen, Philipp
12
2019
Asymptotic analysis of inpainting via universal shearlet systems. Zbl 1307.42033
Genzel, Martin; Kutyniok, Gitta
11
2014
A generalization of Gram-Schmidt orthogonalization generating all Parseval frames. Zbl 1118.65027
Casazza, Peter G.; Kutyniok, Gitta
11
2007
\(\alpha\)-Molecules. Zbl 1342.42041
Grohs, Philipp; Keiper, Sandra; Kutyniok, Gitta; Schäfer, Martin
11
2016
Compactly supported shearlets. Zbl 1252.42042
Kutyniok, Gitta; Lemvig, Jakob; Lim, Wang-Q
11
2012
Theory and applications of compressed sensing. Zbl 1283.94018
Kutyniok, Gitta
10
2013
Sparsity and spectral properties of dual frames. Zbl 1280.42026
Krahmer, Felix; Kutyniok, Gitta; Lemvig, Jakob
10
2013
Beurling dimension of Gabor pseudoframes for affine subspaces. Zbl 1268.42055
Czaja, Wojciech; Kutyniok, Gitta; Speegle, Darrin
9
2008
Affine density, frame bounds, and the admissibility condition for wavelet frames. Zbl 1124.42027
Kutyniok, Gitta
9
2007
Fusion frames. Zbl 1261.42048
Casazza, Peter G.; Kutyniok, Gitta
9
2013
Geometric separation by single-pass alternating thresholding. Zbl 1357.42033
Kutyniok, Gitta
9
2014
A theoretical analysis of deep neural networks and parametric PDEs. Zbl 07493717
Kutyniok, Gitta; Petersen, Philipp; Raslan, Mones; Schneider, Reinhold
9
2022
Image separation using wavelets and shearlets. Zbl 1345.94007
Kutyniok, Gitta; Lim, Wang-Q
8
2012
Cartoon approximation with \(\alpha\)-curvelets. Zbl 1359.42018
Grohs, Philipp; Keiper, Sandra; Kutyniok, Gitta; Schäfer, Martin
8
2016
Linear independence of time-frequency shifts under a generalized Schrödinger representation. Zbl 0997.43006
Kutyniok, Gitta
8
2002
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
Time-frequency analysis on locally compact groups. Zbl 0971.43001
Kutyniok, Gitta
6
2000
A weak qualitative uncertainty principle for compact groups. Zbl 1031.43003
Kutyniok, Gitta
6
2003
The Zak transform on certain locally compact groups. Zbl 1079.43009
Kutyniok, Gitta
6
2002
PROMP: a sparse recovery approach to lattice-valued signals. Zbl 1408.94862
Flinth, Axel; Kutyniok, Gitta
6
2018
Digital shearlet transforms. Zbl 1255.94021
Kutyniok, Gitta; Lim, Wang-Q; Zhuang, Xiaosheng
6
2012
A survey of compressed sensing. Zbl 1333.94015
Boche, Holger; Calderbank, Robert; Kutyniok, Gitta; Vybíral, Jan
5
2015
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
5
2008
A qualitative uncertainty principle for functions generating a Gabor frame on LCA groups. Zbl 1023.43003
Kutyniok, Gitta
5
2003
Irregular shearlet frames: Geometry and approximation properties. Zbl 1226.42030
Kittipoom, Pisamai; Kutyniok, Gitta; Lim, Wang-Q
5
2011
Operators and frames. Zbl 1289.42088
Cahill, Jameson; Casazza, Peter G.; Kutyniok, Gitta
5
2013
A redundant version of the Rado-Horn theorem. Zbl 1103.15001
Casazza, Peter G.; Kutyniok, Gitta; Speegle, Darrin
5
2006
Optimal compressive imaging of Fourier data. Zbl 1437.94043
Kutyniok, Gitta; Lim, Wang-Q
5
2018
Shearlets and optimally sparse approximations. Zbl 1251.42008
Kutyniok, Gitta; Lemvig, Jakob; Lim, Wang-Q
5
2012
Beurling density and shift-invariant weighted irregular Gabor systems. Zbl 1156.42311
Kutyniok, Gitta
4
2006
Scalable frames and convex geometry. Zbl 1307.42029
Kutyniok, Gitta; Okoudjou, Kasso A.; Philipp, Friedrich
4
2014
Extraction of digital wavefront sets using applied harmonic analysis and deep neural networks. Zbl 1439.35009
Andrade-Loarca, Hector; Kutyniok, Gitta; Öktem, Ozan; Petersen, Philipp C.
4
2019
Compressed sensing for finite-valued signals. Zbl 1370.94153
Keiper, Sandra; Kutyniok, Gitta; Lee, Dae Gwan; Pfander, Götz E.
4
2017
Clustered sparsity and separation of cartoon and texture. Zbl 1280.42036
Kutyniok, Gitta
3
2013
From wavelets to shearlets and back again. Zbl 1227.65139
Kutyniok, Gitta; Sauer, Tomas
3
2008
Shearlets: theory and applications. Zbl 1311.42091
Kutyniok, Gitta; Lim, Wang-Q; Steidl, Gabriele
3
2014
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
The local integrability condition for wavelet frames. Zbl 1101.42018
Kutyniok, Gitta
3
2006
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
Measures of scalability. Zbl 1359.94307
Chen, Xuemei; Kutyniok, Gitta; Okoudjou, Kasso A.; Philipp, Friedrich; Wang, Rongrong
3
2015
Regularization and numerical solution of the inverse scattering problem using shearlet frames. Zbl 1365.65244
Kutyniok, Gitta; Mehrmann, Volker; Petersen, Philipp C.
3
2017
Shearlets on bounded domains. Zbl 1253.42035
Kutyniok, Gitta; Lim, Wang-Q
3
2012
Numerical solution of the parametric diffusion equation by deep neural networks. Zbl 1473.35331
Geist, Moritz; Petersen, Philipp; Raslan, Mones; Schneider, Reinhold; Kutyniok, Gitta
3
2021
Parabolic molecules: Curvelets, shearlets, and beyond. Zbl 1331.42038
Grohs, Philipp; Keiper, Sandra; Kutyniok, Gitta; Schäfer, Martin
2
2014
Compressed sensing and its applications. MATHEON workshop, Berlin, Germany, December 2013. Zbl 1320.94007
2
2015
Mini-workshop: Shearlets. Abstracts from the mini-workshop held October 3rd – October 9th, 2010. Zbl 1235.00037
2
2010
\(\ell^1\)-analysis minimization and generalized (co-)sparsity: when does recovery succeed? Zbl 1460.94021
Genzel, Martin; Kutyniok, Gitta; März, Maximilian
2
2021
Approximation spaces of deep neural networks. Zbl 07493721
Gribonval, Rémi; Kutyniok, Gitta; Nielsen, Morten; Voigtlaender, Felix
2
2022
Dualizable shearlet frames and sparse approximation. Zbl 1366.65119
Kutyniok, Gitta; Lim, Wang-Q
1
2016
Ambiguity functions, Wigner distributions and Cohen’s class for LCA groups. Zbl 1032.43002
Kutyniok, Gitta
1
2003
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
A theoretical analysis of deep neural networks and parametric PDEs. Zbl 07493717
Kutyniok, Gitta; Petersen, Philipp; Raslan, Mones; Schneider, Reinhold
9
2022
Approximation spaces of deep neural networks. Zbl 07493721
Gribonval, Rémi; Kutyniok, Gitta; Nielsen, Morten; Voigtlaender, Felix
2
2022
Numerical solution of the parametric diffusion equation by deep neural networks. Zbl 1473.35331
Geist, Moritz; Petersen, Philipp; Raslan, Mones; Schneider, Reinhold; Kutyniok, Gitta
3
2021
\(\ell^1\)-analysis minimization and generalized (co-)sparsity: when does recovery succeed? Zbl 1460.94021
Genzel, Martin; Kutyniok, Gitta; März, Maximilian
2
2021
Error bounds for approximations with deep ReLU neural networks in \(W^{s , p}\) norms. Zbl 1452.41009
Gühring, Ingo; Kutyniok, Gitta; Petersen, Philipp
19
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
16
2019
Optimal approximation with sparsely connected deep neural networks. Zbl 07468819
Bölcskei, Helmut; Grohs, Philipp; Kutyniok, Gitta; Petersen, Philipp
12
2019
Extraction of digital wavefront sets using applied harmonic analysis and deep neural networks. Zbl 1439.35009
Andrade-Loarca, Hector; Kutyniok, Gitta; Öktem, Ozan; Petersen, Philipp C.
4
2019
PROMP: a sparse recovery approach to lattice-valued signals. Zbl 1408.94862
Flinth, Axel; Kutyniok, Gitta
6
2018
Optimal compressive imaging of Fourier data. Zbl 1437.94043
Kutyniok, Gitta; Lim, Wang-Q
5
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
20
2017
Compressed sensing for finite-valued signals. Zbl 1370.94153
Keiper, Sandra; Kutyniok, Gitta; Lee, Dae Gwan; Pfander, Götz E.
4
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
Regularization and numerical solution of the inverse scattering problem using shearlet frames. Zbl 1365.65244
Kutyniok, Gitta; Mehrmann, Volker; Petersen, Philipp C.
3
2017
ShearLab 3D: faithful digital shearlet transforms based on compactly supported shearlets. Zbl 1347.65203
Kutyniok, Gitta; Lim, Wang-Q; Reisenhofer, Rafael
22
2016
\(\alpha\)-Molecules. Zbl 1342.42041
Grohs, Philipp; Keiper, Sandra; Kutyniok, Gitta; Schäfer, Martin
11
2016
Cartoon approximation with \(\alpha\)-curvelets. Zbl 1359.42018
Grohs, Philipp; Keiper, Sandra; Kutyniok, Gitta; Schäfer, Martin
8
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
15
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
5
2015
Measures of scalability. Zbl 1359.94307
Chen, Xuemei; Kutyniok, Gitta; Okoudjou, Kasso A.; Philipp, Friedrich; Wang, Rongrong
3
2015
Compressed sensing and its applications. MATHEON workshop, Berlin, Germany, December 2013. Zbl 1320.94007
2
2015
Parabolic molecules. Zbl 1403.42038
Grohs, Philipp; Kutyniok, Gitta
26
2014
Analysis of inpainting via clustered sparsity and microlocal analysis. Zbl 1362.94007
King, Emily J.; Kutyniok, Gitta; Zhuang, Xiaosheng
18
2014
Asymptotic analysis of inpainting via universal shearlet systems. Zbl 1307.42033
Genzel, Martin; Kutyniok, Gitta
11
2014
Geometric separation by single-pass alternating thresholding. Zbl 1357.42033
Kutyniok, Gitta
9
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
4
2014
Shearlets: theory and applications. Zbl 1311.42091
Kutyniok, Gitta; Lim, Wang-Q; Steidl, Gabriele
3
2014
Parabolic molecules: Curvelets, shearlets, and beyond. Zbl 1331.42038
Grohs, Philipp; Keiper, Sandra; Kutyniok, Gitta; Schäfer, Martin
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
101
2013
Microlocal analysis of the geometric separation problem. Zbl 1261.94007
Donoho, David; Kutyniok, Gitta
30
2013
Scalable frames. Zbl 1260.42023
Kutyniok, Gitta; Okoudjou, Kasso A.; Philipp, Friedrich; Tuley, Elizabeth K.
28
2013
Introduction to finite frame theory. Zbl 1281.42032
Casazza, Peter G.; Kutyniok, Gitta; Philipp, Friedrich
17
2013
Theory and applications of compressed sensing. Zbl 1283.94018
Kutyniok, Gitta
10
2013
Sparsity and spectral properties of dual frames. Zbl 1280.42026
Krahmer, Felix; Kutyniok, Gitta; Lemvig, Jakob
10
2013
Fusion frames. Zbl 1261.42048
Casazza, Peter G.; Kutyniok, Gitta
9
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
3
2013
Shearlets. Multiscale analysis for multivariate data. Zbl 1237.42001
64
2012
Construction of compactly supported shearlet frames. Zbl 1239.42031
Kittipoom, Pisamai; Kutyniok, Gitta; Lim, Wang-Q
45
2012
Introduction to shearlets. Zbl 1251.42010
Kutyniok, Gitta; Labate, Demetrio
32
2012
Optimally sparse approximations of 3D functions by compactly supported shearlet frames. Zbl 1252.42043
Kutyniok, Gitta; Lemvig, Jakob; Lim, Wang-Q
24
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
8
2012
Digital shearlet transforms. Zbl 1255.94021
Kutyniok, Gitta; Lim, Wang-Q; Zhuang, Xiaosheng
6
2012
Shearlets and optimally sparse approximations. Zbl 1251.42008
Kutyniok, Gitta; Lemvig, Jakob; Lim, Wang-Q
5
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
54
2011
Sparse fusion frames: existence and construction. Zbl 1264.94042
Calderbank, Robert; Casazza, Peter G.; Heinecke, Andreas; Kutyniok, Gitta; Pezeshki, Ali
24
2011
Optimally sparse frames. Zbl 1365.94059
Casazza, Peter G.; Heinecke, Andreas; Krahmer, Felix; Kutyniok, Gitta
20
2011
Sparse recovery from combined fusion frame measurements. Zbl 1365.94066
Boufounos, Petros; Kutyniok, Gitta; Rauhut, Holger
19
2011
Adaptive multiresolution analysis structures and shearlet systems. Zbl 1283.42053
Han, Bin; Kutyniok, Gitta; Shen, Zuowei
17
2011
A quantitative notion of redundancy for finite frames. Zbl 1211.42027
Bodmann, Bernhard G.; Casazza, Peter G.; Kutyniok, Gitta
12
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
2
2010
Resolution of the wavefront set using continuous shearlets. Zbl 1169.42012
Kutyniok, Gitta; Labate, Demetrio
94
2009
Shearlet coorbit spaces and associated Banach frames. Zbl 1171.42019
Dahlke, Stephan; Kutyniok, Gitta; Steidl, Gabriele; Teschke, Gerd
71
2009
Robust dimension reduction, fusion frames, and Grassmannian packings. Zbl 1283.42046
Kutyniok, Gitta; Pezeshki, Ali; Calderbank, Robert; Liu, Taotao
38
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
138
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
66
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
14
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
5
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
25
2007
Affine density in wavelet analysis. Zbl 1142.42017
Kutyniok, Gitta
17
2007
The homogeneous approximation property for wavelet frames. Zbl 1133.42049
Heil, Christopher; Kutyniok, Gitta
14
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
83
2006
The geometry of sets of parameters of wave packet frames. Zbl 1095.42020
Czaja, Wojciech; Kutyniok, Gitta; Speegle, Darrin
21
2006
The theory of reproducing systems on locally compact abelian groups. Zbl 1113.43008
Kutyniok, Gitta; Labate, Demetrio
16
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
12
2005
Frames of subspaces. Zbl 1058.42019
Casazza, Peter G.; Kutyniok, Gitta
172
2004
Duality principles in frame theory. Zbl 1058.42020
Casazza, Peter G.; Kutyniok, Gitta; Lammers, Mark C.
34
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
5
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
21
2002
Linear independence of time-frequency shifts under a generalized Schrödinger representation. Zbl 0997.43006
Kutyniok, Gitta
8
2002
The Zak transform on certain locally compact groups. Zbl 1079.43009
Kutyniok, Gitta
6
2002
Time-frequency analysis on locally compact groups. Zbl 0971.43001
Kutyniok, Gitta
6
2000
Zeros of the Zak transform on locally compact Abelian groups. Zbl 0907.43005
Kaniuth, Eberhard; Kutyniok, Gitta
29
1998
all top 5

Cited by 1,117 Authors

48 Kutyniok, Gitta
28 Casazza, Peter George
24 Grohs, Philipp
24 Labate, Demetrio
22 Arefijamaal, Ali Akbar
20 Sun, Wenchang
16 Kamyabi-Gol, Rajab Ali
15 Guo, Kanghui
15 Han, Deguang
15 Leng, Jinsong
14 Bodmann, Bernhard G.
14 Petersen, Philipp Christian
13 Zhu, Yucan
12 De Vito, Ernesto
12 Hansen, Anders C.
12 Okoudjou, Kasso A.
12 Steidl, Gabriele
12 Vashisht, Lalit Kumar
11 Christensen, Ole
11 Führ, Hartmut
11 Rahimi, Asghar
11 Zhuang, Xiaosheng
10 Aldroubi, Akram
10 Asgari, Mohammad Sadegh
10 Cabrelli, Carlos A.
10 Dahlke, Stephan
10 Fickus, Matthew C.
10 Lim, Wang-Q
10 Mixon, Dustin G.
10 Voigtlaender, Felix
10 Xiao, Xiangchun
9 Adcock, Ben
9 De Mari, Filippo
9 Kaushik, Shiv Kumar
9 Lemvig, Jakob
9 Massey, Pedro G.
9 Powell, Alexander M.
9 Shah, Firdous Ahmad
9 Stojanoff, Demetrio
9 Teschke, Gerd
8 Ahmadi, Reza H.
8 Balazs, Peter
8 Gabardo, Jean-Pierre
8 Jørgensen, Palle E. T.
8 Li, Dongwei
8 Pfander, Götz E.
8 Ruiz, Mariano A.
8 Speegle, Darrin M.
7 Chen, Xuemei
7 Czaja, Wojciech
7 Deepshikha
7 Farashahi, Arash Ghaani
7 King, Emily Jeannette
7 Shamsabadi, Mitra
7 Vera, Daniel J.
7 Xiang, Zhongqi
6 Alberti, Giovanni S.
6 Benedetto, John Joseph
6 Feichtinger, Hans Georg
6 Gröchenig, Karlheinz
6 Han, Bin
6 Häuser, Sören
6 Heil, Christopher E.
6 Huang, Ting-Zhu
6 Jakobsen, Mads Sielemann
6 Jasper, John
6 Javanshiri, Hossein
6 Khosravi, Amir
6 Li, Pengtong
6 Neyshaburi, Fahimeh Arabyani
6 Sadri, Vahid
6 Shen, Zuowei
6 Sun, Qiyu
6 Tantary, Azhar Y.
6 Raisi Tousi, Reihaneh
5 Askari-Hemmat, Ataollah
5 Bubba, Tatiana A.
5 Dutkay, Dorin Ervin
5 Ehler, Martin
5 Gataric, Milana
5 Huang, Yongdong
5 Jentzen, Arnulf
5 Krahmer, Felix
5 Larson, David Royal
5 Levie, Ron
5 Li, Yunzhang
5 Luef, Franz
5 Molter, Ursula Maria
5 Needell, Deanna
5 Öktem, Ozan
5 Peterson, Jesse D.
5 Rahimlou, Gholamreza
5 Verma, Geetika
5 Yang, Shouzhi
4 Abreu, Luís Daniel
4 Amiri, Zahra
4 Balan, Radu V.
4 Bartolucci, Francesca
4 Bownik, Marcin
4 Cahill, Jameson
...and 1,017 more Authors
all top 5

Cited in 209 Serials

108 Applied and Computational Harmonic Analysis
65 The Journal of Fourier Analysis and Applications
50 International Journal of Wavelets, Multiresolution and Information Processing
45 Journal of Mathematical Analysis and Applications
38 Linear Algebra and its Applications
29 Advances in Computational Mathematics
19 Journal of Functional Analysis
18 Results in Mathematics
16 Journal of Approximation Theory
14 Numerical Functional Analysis and Optimization
14 Constructive Approximation
14 Journal of Pseudo-Differential Operators and Applications
13 Proceedings of the American Mathematical Society
13 SIAM Journal on Imaging Sciences
13 Sahand Communications in Mathematical Analysis
10 Acta Applicandae Mathematicae
10 Mediterranean Journal of Mathematics
9 Inverse Problems
9 Complex Analysis and Operator Theory
8 Linear and Multilinear Algebra
8 Transactions of the American Mathematical Society
8 The Journal of Geometric Analysis
8 Journal of Inequalities and Applications
8 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
7 Journal of Mathematical Physics
7 Applied Mathematics and Computation
7 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
7 Acta Mathematica Sinica. English Series
7 Analysis and Applications (Singapore)
6 Applicable Analysis
6 SIAM Journal on Mathematical Analysis
6 Journal of Mathematical Imaging and Vision
6 SIAM Journal on Scientific Computing
5 Journal of Computational and Applied Mathematics
5 Monatshefte für Mathematik
5 Advances in Applied Clifford Algebras
5 Science China. Mathematics
5 SIAM Journal on Mathematics of Data Science
4 Indian Journal of Pure & Applied Mathematics
4 Rocky Mountain Journal of Mathematics
4 Collectanea Mathematica
4 Bulletin of the Iranian Mathematical Society
4 Applied Mathematics Letters
4 Integral Transforms and Special Functions
4 Abstract and Applied Analysis
4 Sampling Theory in Signal and Image Processing
4 Annals of Functional Analysis
4 Analysis and Mathematical Physics
4 Journal of Mathematics
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 Opuscula Mathematica
3 Infinite Dimensional Analysis, Quantum Probability and Related Topics
3 Foundations of Computational Mathematics
3 Acta Numerica
3 Journal of Physics A: Mathematical and Theoretical
3 Communications in Computational Physics
3 Asian-European Journal of Mathematics
3 Palestine Journal of Mathematics
3 Problemy Analiza. Issues of Analysis
3 Journal of Linear and Topological Algebra
3 Journal of Function Spaces
2 Computers & Mathematics with Applications
2 Journal of Computational Physics
2 Journal of the Franklin Institute
2 Ukrainian Mathematical Journal
2 ACM Transactions on Mathematical Software
2 The Annals of Statistics
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 Journal of Theoretical Probability
2 SIAM Journal on Matrix Analysis and Applications
2 Neural Networks
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 Journal of Applied Mathematics
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Hacettepe Journal of Mathematics and Statistics
2 GAMM-Mitteilungen
2 Inverse Problems and Imaging
2 Journal of Mathematical Inequalities
2 Banach Journal of Mathematical Analysis
2 Symmetry
2 S\(\vec{\text{e}}\)MA Journal
...and 109 more Serials
all top 5

Cited in 54 Fields

727 Harmonic analysis on Euclidean spaces (42-XX)
211 Information and communication theory, circuits (94-XX)
199 Functional analysis (46-XX)
164 Numerical analysis (65-XX)
100 Approximations and expansions (41-XX)
96 Operator theory (47-XX)
85 Computer science (68-XX)
72 Abstract harmonic analysis (43-XX)
48 Linear and multilinear algebra; matrix theory (15-XX)
39 Topological groups, Lie groups (22-XX)
33 Statistics (62-XX)
32 Partial differential equations (35-XX)
26 Integral transforms, operational calculus (44-XX)
26 Biology and other natural sciences (92-XX)
23 Combinatorics (05-XX)
23 Quantum theory (81-XX)
22 Operations research, mathematical programming (90-XX)
18 Convex and discrete geometry (52-XX)
18 Probability theory and stochastic processes (60-XX)
13 Group theory and generalizations (20-XX)
12 Number theory (11-XX)
9 Measure and integration (28-XX)
8 Real functions (26-XX)
8 Functions of a complex variable (30-XX)
7 Calculus of variations and optimal control; optimization (49-XX)
7 Global analysis, analysis on manifolds (58-XX)
7 Systems theory; control (93-XX)
5 Order, lattices, ordered algebraic structures (06-XX)
5 Special functions (33-XX)
4 Geometry (51-XX)
4 Differential geometry (53-XX)
4 Optics, electromagnetic theory (78-XX)
4 Statistical mechanics, structure of matter (82-XX)
3 General and overarching topics; collections (00-XX)
3 Commutative algebra (13-XX)
3 Algebraic geometry (14-XX)
3 Potential theory (31-XX)
3 Ordinary differential equations (34-XX)
3 Dynamical systems and ergodic theory (37-XX)
3 Difference and functional equations (39-XX)
3 Fluid mechanics (76-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Integral equations (45-XX)
2 General topology (54-XX)
2 Manifolds and cell complexes (57-XX)
2 Mathematics education (97-XX)
1 Associative rings and algebras (16-XX)
1 \(K\)-theory (19-XX)
1 Sequences, series, summability (40-XX)
1 Mechanics of particles and systems (70-XX)
1 Mechanics of deformable solids (74-XX)
1 Astronomy and astrophysics (85-XX)
1 Geophysics (86-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.