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Teschke, Gerd

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Author ID: teschke.gerd Recent zbMATH articles by "Teschke, Gerd"
Published as: Teschke, G.; Teschke, Gerd
Homepage: http://user.hs-nb.de/~teschke/
External Links: MGP · Wikidata · dblp · GND
Documents Indexed: 45 Publications since 2000, including 1 Book
Reviewing Activity: 1 Review

Publications by Year

Citations contained in zbMATH

35 Publications have been cited 505 times in 289 Documents Cited by Year
Shearlet coorbit spaces and associated Banach frames. Zbl 1171.42019
Dahlke, Stephan; Kutyniok, Gitta; Steidl, Gabriele; Teschke, Gerd
62
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
59
2008
The continuous shearlet transform in arbitrary space dimensions. Zbl 1194.42038
Dahlke, Stephan; Steidl, Gabriele; Teschke, Gerd
47
2010
Variational image restoration by means of wavelets: Simultaneous decomposition, deblurring, and denoising. Zbl 1079.68104
Daubechies, I.; Teschke, G.
36
2005
Iteratively solving linear inverse problems under general convex constraints. Zbl 1123.65044
Daubechies, Ingrid; Teschke, Gerd; Vese, Luminita
33
2007
A Tikhonov-based projection iteration for nonlinear ill-posed problems with sparsity constraints. Zbl 1101.65056
Ramlau, Ronny; Teschke, Gerd
32
2006
Generalized coorbit theory, Banach frames, and the relation to \({\alpha}\)-modulation spaces. Zbl 1215.42035
Dahlke, Stephan; Fornasier, Massimo; Rauhut, Holger; Steidl, Gabriele; Teschke, Gerd
27
2008
Shearlet coorbit spaces: Compactly supported analyzing shearlets, traces and embeddings. Zbl 1243.46023
Dahlke, Stephan; Steidl, Gabriele; Teschke, Gerd
26
2011
Tikhonov replacement functionals for iteratively solving nonlinear operator equations. Zbl 1078.47030
Ramlau, Ronny; Teschke, Gerd
21
2005
Coorbit spaces and Banach frames on homogeneous spaces with applications to the sphere. Zbl 1113.42023
Dahlke, Stephan; Steidl, Gabriele; Teschke, Gerd
18
2004
Multivariate shearlet transform, shearlet coorbit spaces and their structural properties. Zbl 1247.42025
Dahlke, Stephan; Steidl, Gabriele; Teschke, Gerd
13
2012
Multi-frame representations in linear inverse problems with mixed multi-constraints. Zbl 1144.94002
Teschke, Gerd
13
2007
Weighted coorbit spaces and Banach frames on homogeneous spaces. Zbl 1098.42025
Dahlke, Stephan; Steidl, Gabriele; Teschke, Gerd
13
2004
Shearlet coorbit spaces: traces and embeddings in higher dimensions. Zbl 1260.22004
Dahlke, Stephan; Häuser, Sören; Steidl, Gabriele; Teschke, Gerd
12
2013
An iterative algorithm for nonlinear inverse problems with joint sparsity constraints in vector-valued regimes and an application to color image inpainting. Zbl 1131.47055
Teschke, Gerd; Ramlau, Ronny
10
2007
Coorbit spaces with voice in a Fréchet space. Zbl 1375.43001
Dahlke, S.; De Mari, F.; De Vito, E.; Labate, D.; Steidl, G.; Teschke, G.; Vigogna, S.
9
2017
Coorbit space theory for the Toeplitz shearlet transform. Zbl 1252.42031
Dahlke, Stephan; Häuser, Sören; Teschke, Gerd
8
2012
Accelerated projected steepest descent method for nonlinear inverse problems with sparsity constraints. Zbl 1192.65071
Teschke, Gerd; Borries, Claudia
8
2010
Generalized sampling: extension to frames and inverse and ill-posed problems. Zbl 1321.42048
Adcock, Ben; Hansen, Anders C.; Herrholz, Evelyn; Teschke, Gerd
7
2013
Frames and coorbit theory on homogeneous spaces with a special guidance on the sphere. Zbl 1141.42019
Dahlke, Stephan; Steidl, Gabriele; Teschke, Gerd
7
2007
Different faces of the shearlet group. Zbl 1344.42027
Dahlke, Stephan; De Mari, Filippo; De Vito, Ernesto; Häuser, Sören; Steidl, Gabriele; Teschke, Gerd
5
2016
Coorbit theory, multi-\(\alpha \)-modulation frames, and the concept of joint sparsity for medical multichannel data analysis. Zbl 1184.94195
Dahlke, Stephan; Teschke, Gerd; Stingl, Krunoslav
5
2008
A compressive Landweber iteration for solving ill-posed inverse problems. Zbl 1166.65024
Ramlau, R.; Teschke, G.; Zhariy, M.
5
2008
The application of joint sparsity and total variation minimization algorithms to a real-life art restoration problem. Zbl 1169.94004
Fornasier, Massimo; Ramlau, Ronny; Teschke, Gerd
4
2009
The canonical coherent states associated with quotients of the affine Weyl-Heisenberg group. Zbl 1165.22007
Dahlke, Stephan; Lorenz, Dirk A.; Maass, Peter; Sagiv, Chen; Teschke, Gerd
4
2008
Construction of generalized uncertainty principles and wavelets in anisotropic Sobolev spaces. Zbl 1083.42032
Teschke, Gerd
4
2005
Interpolating scaling functions with duals. Zbl 1087.42024
Dahlke, Stephan; Maass, Peter; Teschke, Gerd
4
2004
Sparse recovery in inverse problems. Zbl 1210.65107
Ramlau, Ronny; Teschke, Gerd
2
2010
Compressive sensing principles and iterative sparse recovery for inverse and ill-posed problems. Zbl 1208.65068
Herrholz, Evelyn; Teschke, Gerd
2
2010
A regularization of nonlinear diffusion equations in a multiresolution framework. Zbl 1147.35012
Teschke, Gerd; Zhariy, Mariya; Soares, Maria Joana
2
2008
Regularization of Sobolev embedding operators and applications. II: Data driven regularization and applications. Zbl 1137.65356
Ramlau, Ronny; Teschke, Gerd
2
2004
Regularization of Sobolev embedding operators and applications. I: Fourier and wavelet based methods. Zbl 1137.65355
Ramlau, Ronny; Teschke, Gerd
2
2004
Inversion of the noisy Radon transform on SO(3) by Gabor frames and sparse recovery principles. Zbl 1227.42033
Cerejeiras, Paula; Ferreira, Milton; Kähler, Uwe; Teschke, Gerd
1
2011
Reconstruction of wideband reflectivity densities by wavelet transforms. Zbl 1020.42024
Dahlke, Stephan; Maass, Peter; Teschke, Gerd
1
2003
Wavelet construction via uncertainty relations and applications to signal analysis. Zbl 1003.42025
Teschke, Gerd
1
2001
Coorbit spaces with voice in a Fréchet space. Zbl 1375.43001
Dahlke, S.; De Mari, F.; De Vito, E.; Labate, D.; Steidl, G.; Teschke, G.; Vigogna, S.
9
2017
Different faces of the shearlet group. Zbl 1344.42027
Dahlke, Stephan; De Mari, Filippo; De Vito, Ernesto; Häuser, Sören; Steidl, Gabriele; Teschke, Gerd
5
2016
Shearlet coorbit spaces: traces and embeddings in higher dimensions. Zbl 1260.22004
Dahlke, Stephan; Häuser, Sören; Steidl, Gabriele; Teschke, Gerd
12
2013
Generalized sampling: extension to frames and inverse and ill-posed problems. Zbl 1321.42048
Adcock, Ben; Hansen, Anders C.; Herrholz, Evelyn; Teschke, Gerd
7
2013
Multivariate shearlet transform, shearlet coorbit spaces and their structural properties. Zbl 1247.42025
Dahlke, Stephan; Steidl, Gabriele; Teschke, Gerd
13
2012
Coorbit space theory for the Toeplitz shearlet transform. Zbl 1252.42031
Dahlke, Stephan; Häuser, Sören; Teschke, Gerd
8
2012
Shearlet coorbit spaces: Compactly supported analyzing shearlets, traces and embeddings. Zbl 1243.46023
Dahlke, Stephan; Steidl, Gabriele; Teschke, Gerd
26
2011
Inversion of the noisy Radon transform on SO(3) by Gabor frames and sparse recovery principles. Zbl 1227.42033
Cerejeiras, Paula; Ferreira, Milton; Kähler, Uwe; Teschke, Gerd
1
2011
The continuous shearlet transform in arbitrary space dimensions. Zbl 1194.42038
Dahlke, Stephan; Steidl, Gabriele; Teschke, Gerd
47
2010
Accelerated projected steepest descent method for nonlinear inverse problems with sparsity constraints. Zbl 1192.65071
Teschke, Gerd; Borries, Claudia
8
2010
Sparse recovery in inverse problems. Zbl 1210.65107
Ramlau, Ronny; Teschke, Gerd
2
2010
Compressive sensing principles and iterative sparse recovery for inverse and ill-posed problems. Zbl 1208.65068
Herrholz, Evelyn; Teschke, Gerd
2
2010
Shearlet coorbit spaces and associated Banach frames. Zbl 1171.42019
Dahlke, Stephan; Kutyniok, Gitta; Steidl, Gabriele; Teschke, Gerd
62
2009
The application of joint sparsity and total variation minimization algorithms to a real-life art restoration problem. Zbl 1169.94004
Fornasier, Massimo; Ramlau, Ronny; Teschke, Gerd
4
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
59
2008
Generalized coorbit theory, Banach frames, and the relation to \({\alpha}\)-modulation spaces. Zbl 1215.42035
Dahlke, Stephan; Fornasier, Massimo; Rauhut, Holger; Steidl, Gabriele; Teschke, Gerd
27
2008
Coorbit theory, multi-\(\alpha \)-modulation frames, and the concept of joint sparsity for medical multichannel data analysis. Zbl 1184.94195
Dahlke, Stephan; Teschke, Gerd; Stingl, Krunoslav
5
2008
A compressive Landweber iteration for solving ill-posed inverse problems. Zbl 1166.65024
Ramlau, R.; Teschke, G.; Zhariy, M.
5
2008
The canonical coherent states associated with quotients of the affine Weyl-Heisenberg group. Zbl 1165.22007
Dahlke, Stephan; Lorenz, Dirk A.; Maass, Peter; Sagiv, Chen; Teschke, Gerd
4
2008
A regularization of nonlinear diffusion equations in a multiresolution framework. Zbl 1147.35012
Teschke, Gerd; Zhariy, Mariya; Soares, Maria Joana
2
2008
Iteratively solving linear inverse problems under general convex constraints. Zbl 1123.65044
Daubechies, Ingrid; Teschke, Gerd; Vese, Luminita
33
2007
Multi-frame representations in linear inverse problems with mixed multi-constraints. Zbl 1144.94002
Teschke, Gerd
13
2007
An iterative algorithm for nonlinear inverse problems with joint sparsity constraints in vector-valued regimes and an application to color image inpainting. Zbl 1131.47055
Teschke, Gerd; Ramlau, Ronny
10
2007
Frames and coorbit theory on homogeneous spaces with a special guidance on the sphere. Zbl 1141.42019
Dahlke, Stephan; Steidl, Gabriele; Teschke, Gerd
7
2007
A Tikhonov-based projection iteration for nonlinear ill-posed problems with sparsity constraints. Zbl 1101.65056
Ramlau, Ronny; Teschke, Gerd
32
2006
Variational image restoration by means of wavelets: Simultaneous decomposition, deblurring, and denoising. Zbl 1079.68104
Daubechies, I.; Teschke, G.
36
2005
Tikhonov replacement functionals for iteratively solving nonlinear operator equations. Zbl 1078.47030
Ramlau, Ronny; Teschke, Gerd
21
2005
Construction of generalized uncertainty principles and wavelets in anisotropic Sobolev spaces. Zbl 1083.42032
Teschke, Gerd
4
2005
Coorbit spaces and Banach frames on homogeneous spaces with applications to the sphere. Zbl 1113.42023
Dahlke, Stephan; Steidl, Gabriele; Teschke, Gerd
18
2004
Weighted coorbit spaces and Banach frames on homogeneous spaces. Zbl 1098.42025
Dahlke, Stephan; Steidl, Gabriele; Teschke, Gerd
13
2004
Interpolating scaling functions with duals. Zbl 1087.42024
Dahlke, Stephan; Maass, Peter; Teschke, Gerd
4
2004
Regularization of Sobolev embedding operators and applications. II: Data driven regularization and applications. Zbl 1137.65356
Ramlau, Ronny; Teschke, Gerd
2
2004
Regularization of Sobolev embedding operators and applications. I: Fourier and wavelet based methods. Zbl 1137.65355
Ramlau, Ronny; Teschke, Gerd
2
2004
Reconstruction of wideband reflectivity densities by wavelet transforms. Zbl 1020.42024
Dahlke, Stephan; Maass, Peter; Teschke, Gerd
1
2003
Wavelet construction via uncertainty relations and applications to signal analysis. Zbl 1003.42025
Teschke, Gerd
1
2001
all top 5

Cited by 406 Authors

17 Dahlke, Stephan
16 Teschke, Gerd
13 Labate, Demetrio
12 De Vito, Ernesto
12 Kutyniok, Gitta
12 Shen, Zuowei
11 Fornasier, Massimo
11 Steidl, Gabriele
10 De Mari, Filippo
10 Dong, Bin
10 Guo, Kanghui
9 Führ, Hartmut
9 Hansen, Anders C.
9 Maass, Peter
9 Ramlau, Ronny
7 Adcock, Ben
6 Cai, Jian-Feng
6 Häuser, Sören
6 Kamyabi-Gol, Rajab Ali
5 Feng, Xiangchu
5 Grohs, Philipp
5 Langer, Andreas
5 Lim, Wang-Q
5 Nielsen, Morten
5 Osher, Stanley Joel
5 Petersen, Philipp Christian
5 Stark, Hans-Georg
4 Alberti, Giovanni S.
4 Aujol, Jean-François
4 Balazs, Peter
4 Bartolucci, Francesca
4 Cerejeiras, Paula
4 Christensen, Jens Gerlach
4 Feichtinger, Hans Georg
4 Kähler, Uwe
4 Odone, Francesca
4 Rauhut, Holger
4 Sochen, Nir
4 Vera, Daniel J.
4 Voigtlaender, Felix
3 Burger, Martin
3 Czaja, Wojciech
3 Jiang, Qingtang
3 Lorenz, Dirk Alfred
3 Ólafsson, Gestur
3 Oussa, Vignon
3 Pesenson, Isaac Zalmanovich
3 Poon, Clarice
3 Raasch, Thorsten
3 Roman, Bogdan
3 Sagiv, Chen
3 Speckbacher, Michael
3 Raisi Tousi, Reihaneh
3 Vese, Luminita A.
3 Vigogna, Stefano
3 Yin, Haiqing
3 Zare, Masoumeh
2 Amat, Sergio
2 Amiri, Zahra
2 Askari-Hemmat, Ataollah
2 Banouh, Hicham
2 Ben Mabrouk, Anouar
2 Benning, Martin
2 Bergmann, Ronny
2 Bonesky, Thomas
2 Brahim, Kamel
2 Bredies, Kristian
2 Chen, Qiuhui
2 Cleanthous, Galatia
2 Combettes, Patrick L.
2 Daripa, Prabir K.
2 Fatemidokht, Mahdieh
2 Ferreira, Milton
2 Gehre, Matthias
2 Georgiadis, Athanasios G.
2 Gilboa, Guy
2 Gomes, Narciso
2 Haltmeier, Markus
2 Han, Bin
2 Han, Bo
2 Han, Deren
2 Hao, Binbin
2 Hartmann, Stefan
2 Hubmer, Simon
2 Jiang, Shenming
2 Jiang, Zetao
2 King, Emily Jeannette
2 Kittipoom, Pisamai
2 Kluth, Tobias
2 Kowalski, Matthieu
2 Levie, Ron
2 Liu, Guojun
2 Liu, Hongwei
2 Liu, Yikan
2 Lu, Shuai
2 Ma, Liyan
2 Malafronte, Damiano
2 Muoi, Pham Quy
2 Nefzi, Bochra
2 Nowak, Krzysztof
...and 306 more Authors
all top 5

Cited in 95 Serials

42 Applied and Computational Harmonic Analysis
25 The Journal of Fourier Analysis and Applications
12 Advances in Computational Mathematics
9 Inverse Problems
9 International Journal of Wavelets, Multiresolution and Information Processing
8 Journal of Inverse and Ill-Posed Problems
7 Journal of Computational and Applied Mathematics
7 Journal of Mathematical Imaging and Vision
6 Mathematics of Computation
6 Numerische Mathematik
6 Journal of Scientific Computing
5 Journal of Approximation Theory
5 Journal of Functional Analysis
5 Monatshefte für Mathematik
5 Advances in Applied Clifford Algebras
4 Journal of Mathematical Physics
4 Numerical Functional Analysis and Optimization
4 Inverse Problems and Imaging
3 Applicable Analysis
3 Collectanea Mathematica
3 Mathematische Nachrichten
3 Transactions of the American Mathematical Society
3 Constructive Approximation
3 SIAM Journal on Mathematical Analysis
3 Analysis and Applications (Singapore)
3 Journal of Pseudo-Differential Operators and Applications
3 Wavelets and Linear Algebra
2 Journal of Mathematical Analysis and Applications
2 Multidimensional Systems and Signal Processing
2 Linear Algebra and its Applications
2 Computational Optimization and Applications
2 Integral Transforms and Special Functions
2 Mathematical Problems in Engineering
2 Foundations of Computational Mathematics
2 Multiscale Modeling & Simulation
2 Sampling Theory in Signal and Image Processing
1 Communications on Pure and Applied Mathematics
1 Indian Journal of Pure & Applied Mathematics
1 Journal of Computational Physics
1 Journal of the Franklin Institute
1 Journal of Mathematical Biology
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Applied Mathematics and Computation
1 Applied Mathematics and Optimization
1 Colloquium Mathematicum
1 Journal of Differential Equations
1 Journal of the Mathematical Society of Japan
1 SIAM Journal on Numerical Analysis
1 Acta Mathematica Hungarica
1 Applied Numerical Mathematics
1 Optimization
1 Journal of Complexity
1 Applied Mathematics Letters
1 Journal of the American Mathematical Society
1 The Journal of Geometric Analysis
1 Applied Mathematical Modelling
1 International Journal of Computer Mathematics
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Pattern Recognition
1 Stochastic Processes and their Applications
1 Russian Mathematics
1 International Journal of Computer Vision
1 ETNA. Electronic Transactions on Numerical Analysis
1 Complexity
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Journal of Inequalities and Applications
1 International Journal of Applied Mathematics and Computer Science
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Journal of Applied Mathematics and Computing
1 Journal of Function Spaces and Applications
1 Mediterranean Journal of Mathematics
1 Acta Numerica
1 Science in China. Series F
1 Inverse Problems in Science and Engineering
1 GAMM-Mitteilungen
1 Complex Variables and Elliptic Equations
1 The European Physical Journal B. Condensed Matter and Complex Systems
1 Complex Analysis and Operator Theory
1 Signal, Image and Video Processing
1 Journal of Physics A: Mathematical and Theoretical
1 EURASIP Journal on Advances in Signal Processing
1 Electronic Journal of Statistics
1 SIAM Journal on Imaging Sciences
1 Advances in Mathematical Physics
1 Set-Valued and Variational Analysis
1 Science China. Mathematics
1 Journal of Mathematics in Industry
1 Journal of Mahani Mathematical Research Center
1 Frontiers of Computer Science
1 Forum of Mathematics, Sigma
1 Journal of the Operations Research Society of China
1 East Asian Journal on Applied Mathematics
1 Sahand Communications in Mathematical Analysis
1 International Journal of Systems Science. Principles and Applications of Systems and Integration
1 Transactions of the American Mathematical Society. Series B
all top 5

Cited in 42 Fields

166 Harmonic analysis on Euclidean spaces (42-XX)
100 Numerical analysis (65-XX)
100 Information and communication theory, circuits (94-XX)
37 Functional analysis (46-XX)
35 Operator theory (47-XX)
27 Computer science (68-XX)
25 Topological groups, Lie groups (22-XX)
21 Calculus of variations and optimal control; optimization (49-XX)
20 Partial differential equations (35-XX)
18 Abstract harmonic analysis (43-XX)
17 Operations research, mathematical programming (90-XX)
12 Quantum theory (81-XX)
12 Biology and other natural sciences (92-XX)
11 Integral transforms, operational calculus (44-XX)
9 Linear and multilinear algebra; matrix theory (15-XX)
9 Approximations and expansions (41-XX)
8 Statistics (62-XX)
6 Functions of a complex variable (30-XX)
5 Integral equations (45-XX)
5 Systems theory; control (93-XX)
4 Optics, electromagnetic theory (78-XX)
3 Number theory (11-XX)
3 Group theory and generalizations (20-XX)
3 Special functions (33-XX)
3 Probability theory and stochastic processes (60-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Differential geometry (53-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Statistical mechanics, structure of matter (82-XX)
1 General and overarching topics; collections (00-XX)
1 Combinatorics (05-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Algebraic geometry (14-XX)
1 \(K\)-theory (19-XX)
1 Real functions (26-XX)
1 Sequences, series, summability (40-XX)
1 Convex and discrete geometry (52-XX)
1 Manifolds and cell complexes (57-XX)
1 Mechanics of particles and systems (70-XX)
1 Mechanics of deformable solids (74-XX)
1 Fluid mechanics (76-XX)
1 Mathematics education (97-XX)

Citations by Year

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