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Dahlke, Stephan

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Author ID: dahlke.stephan Recent zbMATH articles by "Dahlke, Stephan"
Published as: Dahlke, S.; Dahlke, Stephan
Homepage: http://www.mathematik.uni-marburg.de/~dahlke
External Links: MGP · Wikidata · dblp · GND
Documents Indexed: 107 Publications since 1989, including 3 Books
all top 5

Co-Authors

13 single-authored
22 Teschke, Gerd
16 Raasch, Thorsten
14 Maass, Peter
14 Steidl, Gabriele
8 Fornasier, Massimo
7 Dahmen, Wolfgang A.
7 De Mari, Filippo
7 Sickel, Winfried
6 Cioica, Petru A.
6 Friedrich, Ulrich
6 Kinzel, Stefan
6 Ritter, Klaus
6 Stevenson, Rob P.
5 De Vito, Ernesto
5 Döhring, Nicolas
5 Lindner, Felix
5 Schilling, René Leander
4 Barinka, Arne
4 Häuser, Sören
4 Kutyniok, Gitta
4 Latour, Vera
4 Novak, Erich
4 Rashkov, Peter
4 Schmitt, Bernhard A.
4 Schneider, Cornelia
4 Søgaard-Andersen, Lotte
4 Urban, Karsten
3 Barsch, Titus
3 Gröchenig, Karlheinz
3 Hochmuth, Reinhard
3 Labate, Demetrio
3 Weimar, Markus
3 Weinreich, Ilona
3 Werner, Manuel
2 Alberti, Giovanni S.
2 Chegini, Nabi G.
2 Grohs, Philipp
2 Keilberg, Daniela
2 Konik, Michael
2 Lenz, Peter
2 Lorenz, Dirk Alfred
2 Ressel, Rudolf A.
2 Sagiv, Chen
2 Schneider, Reinhold
2 Vigogna, Stefano
1 Balazs, Peter
1 Bayer, Dominik
1 Böhmer, Klaus
1 Bonesky, Thomas
1 Charton, Philippe
1 Cohen, Albert
1 DeVore, Ronald A.
1 Diening, Lars
1 Dülk, Patrick
1 Freeden, Willi
1 Führ, Hartmut
1 Griebel, Michael
1 Hackbusch, Wolfgang
1 Hansen, Markus
1 Harbrecht, Helmut
1 Hartmann, Christoph
1 Jahan, Qaiser
1 Kazimierski, Kamil S.
1 Keding, Philipp
1 Koch, Karsten
1 Korvin, Gabor
1 Kunoth, Angela
1 Lehmann, Volker
1 Lellek, Dominik
1 Lui, Shiu Hong
1 Mommer, Mario S.
1 Mosco, Umberto
1 Müller, Stephan
1 Neeb, Michael
1 Nochetto, Ricardo Horacio
1 Oswald, Peter
1 Primbs, Miriam
1 Rauhut, Holger
1 Sawatzki, Lukas
1 Scharf, Benjamin
1 Schiffler, Stefan
1 Schmitt, Eberhard
1 Schwab, Christoph
1 Siddiqi, Abul Hassan
1 Sieber, Alexander
1 Speckbacher, Michael
1 Stämpfli, Andreas
1 Stark, Hans-Georg
1 Stingl, Krunoslav
1 Süli, Endre E.
1 Thiele, Herbert
1 Utzinger, M.
1 Voigtlaender, Felix
1 Yserentant, Harry
all top 5

Serials

6 The Journal of Fourier Analysis and Applications
5 Journal of Complexity
5 Advances in Computational Mathematics
4 Numerical Functional Analysis and Optimization
3 Applied Mathematics Letters
3 Applied and Computational Harmonic Analysis
2 Mathematical Biosciences
2 Mathematics of Computation
2 Monatshefte für Mathematik
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Constructive Approximation
2 Journal of Inverse and Ill-Posed Problems
2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2 The Arabian Journal for Science and Engineering. Section C: Theme Issues
2 Journal of Computational Analysis and Applications
2 Foundations of Computational Mathematics
2 Analysis and Applications (Singapore)
2 International Journal of Wavelets, Multiresolution and Information Processing
2 Oberwolfach Reports
1 Applicable Analysis
1 Computers & Mathematics with Applications
1 IMA Journal of Numerical Analysis
1 Studia Mathematica
1 Bulletin of Mathematical Biology
1 Archiv der Mathematik
1 BIT
1 Calcolo
1 Journal of Approximation Theory
1 Manuscripta Mathematica
1 Mathematische Nachrichten
1 Proceedings of the London Mathematical Society. Third Series
1 SIAM Journal on Numerical Analysis
1 Applied Numerical Mathematics
1 Numerical Methods for Partial Differential Equations
1 The Journal of Geometric Analysis
1 Communications in Partial Differential Equations
1 International Journal of Computer Mathematics
1 Journal of Dynamics and Differential Equations
1 Potential Analysis
1 SIAM Journal on Scientific Computing
1 Numerical Linear Algebra with Applications
1 Communications in Applied Analysis
1 Vietnam Journal of Mathematics
1 Revista Matemática Complutense
1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
1 International Journal of Pure and Applied Mathematics
1 Journal of Applied Functional Analysis
1 Lecture Notes in Computational Science and Engineering
1 EURASIP Journal on Advances in Signal Processing
1 PAMM. Proceedings in Applied Mathematics and Mechanics
1 GEM - International Journal on Geomathematics
1 International Journal of Biomathematics and Biostatistics
1 Applied and Numerical Harmonic Analysis

Publications by Year

Citations contained in zbMATH

82 Publications have been cited 839 times in 458 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
Besov regularity for elliptic boundary value problems. Zbl 0883.35018
Dahlke, Stephan; DeVore, Ronald A.
43
1997
Adaptive frame methods for elliptic operator equations. Zbl 1122.65103
Dahlke, Stephan; Fornasier, Massimo; Raasch, Thorsten
37
2007
Stable multiscale bases and local error estimation for elliptic problems. Zbl 0872.65098
Dahlke, Stephan; Dahmen, Wolfgang; Hochmuth, Reinhard; Schneider, Reinhold
35
1997
Adaptive frame methods for elliptic operator equations: The steepest descent approach. Zbl 1153.65050
Dahlke, Stephan; Raasch, Thorsten; Werner, Manuel; Fornasier, Massimo; Stevenson, Rob
34
2007
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
Adaptive wavelet methods for saddle point problems – optimal convergence rates. Zbl 1024.65101
Dahlke, Stephan; Dahmen, Wolfgang; Urban, Karsten
25
2002
Adaptive wavelet schemes for elliptic problems–implementation and numerical experiments. Zbl 1016.65090
Barinka, Arne; Barsch, Titus; Charton, Philippe; Cohen, Albert; Dahlke, Stephan; Dahmen, Wolfgang; Urban, Karsten
25
2001
Besov regularity for elliptic boundary value problems in polygonal domains. Zbl 0940.35064
Dahlke, S.
22
1999
Optimal approximation of elliptic problems by linear and nonlinear mappings. II. Zbl 1102.65061
Dahlke, Stephan; Novak, Erich; Sickel, Winfried
21
2006
Multiresolution analysis and wavelets on \(S^ 2\) and \(S^ 3\). Zbl 0849.42020
Dahlke, Stephan; Dahmen, Wolfgang; Weinreich, Ilona; Schmitt, Eberhard
21
1995
Coorbit spaces and Banach frames on homogeneous spaces with applications to the sphere. Zbl 1113.42023
Dahlke, Stephan; Steidl, Gabriele; Teschke, Gerd
18
2004
Multiresolution analysis and wavelets on locally compact Abelian groups. Zbl 0834.43004
Dahlke, Stephan
18
1994
The affine uncertainty principle in one and two dimensions. Zbl 0843.42019
Dahlke, S.; Maass, P.
16
1995
Optimal approximation of elliptic problems by linear and nonlinear mappings. I. Zbl 1092.65044
Dahlke, Stephan; Novak, Erich; Sickel, Winfried
14
2006
Smooth refinable functions and wavelets obtained by convolution products. Zbl 0810.42020
Dahlke, Stephan; Dahmen, Wolfgang; Latour, Vera
14
1995
Wavelet-Galerkin methods: An adapted biorthogonal wavelet basis. Zbl 0777.34015
Dahlke, Stephan; Weinreich, Ilona
14
1993
Multivariate shearlet transform, shearlet coorbit spaces and their structural properties. Zbl 1247.42025
Dahlke, Stephan; Steidl, Gabriele; Teschke, Gerd
13
2012
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
Spatial Besov regularity for semilinear stochastic partial differential equations on bounded Lipschitz domains. Zbl 1411.60093
Cioica, Petru A.; Dahlke, Stephan
10
2012
Nonlinear and adaptive frame approximation schemes for elliptic PDEs: theory and numerical experiments. Zbl 1181.65137
Dahlke, Stephan; Fornasier, Massimo; Primbs, Miriam; Raasch, Thorsten; Werner, Manuel
10
2009
Some remarks on quadrature formulas for refinable functions and wavelets. Zbl 0992.65012
Barinka, A.; Barsch, T.; Dahlke, S.; Konik, M.
10
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
A new approach to interpolating scaling functions. Zbl 1016.41006
Dahlke, Stephan; Gröchenig, Karlheinz; Maass, Peter
9
1999
Besov regularity of solutions to the \(p\)-Poisson equation. Zbl 1330.35189
Dahlke, Stephan; Diening, Lars; Hartmann, Christoph; Scharf, Benjamin; Weimar, Markus
8
2016
Coorbit space theory for the Toeplitz shearlet transform. Zbl 1252.42031
Dahlke, Stephan; Häuser, Sören; Teschke, Gerd
8
2012
Optimal adaptive computations in the Jaffard algebra and localized frames. Zbl 1184.42029
Dahlke, Stephan; Fornasier, Massimo; Gröchenig, Karlheinz
8
2010
Interpolating refinable functions and wavelets for general scaling matrices. Zbl 0895.42017
Dahlke, Stephan; Maass, Peter
8
1997
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
Adaptive wavelet methods for saddle point problems. Zbl 0965.65074
Dahlke, Stephan; Hochmuth, Reinhard; Urban, Karsten
7
2000
On Besov regularity of solutions to nonlinear elliptic partial differential equations. Zbl 1275.41021
Dahlke, Stephan; Sickel, Winfried
6
2013
Spatial Besov regularity for stochastic partial differential equations on Lipschitz domains. Zbl 1250.60026
Cioica, Petru A.; Dahlke, Stephan; Kinzel, Stefan; Lindner, Felix; Raasch, Thorsten; Ritter, Klaus; Schilling, René L.
6
2011
Quadrature formulas for refinable functions and wavelets. II: Error analysis. Zbl 1031.65036
Barinka, Arne; Barsch, Titus; Dahlke, Stephan; Mommer, Mario; Konik, Michael
6
2002
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
Adaptive wavelet methods for the stochastic Poisson equation. Zbl 1260.65003
Cioica, Petru A.; Dahlke, Stephan; Döhring, Nicolas; Kinzel, Stefan; Lindner, Felix; Raasch, Thorsten; Ritter, Klaus; Schilling, René L.
5
2012
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
Adaptive application of operators in standard representation. Zbl 1101.65111
Barinka, Arne; Dahlke, Stephan; Dahmen, Wolfgang
5
2006
Besov regularity for second order elliptic boundary value problems with variable coefficients. Zbl 0895.35017
Dahlke, Stephan
5
1998
Continuous wavelet transforms with applications to analyzing functions on spheres. Zbl 0902.42017
Dahlke, Stephan; Maass, Peter
5
1996
Wavelet bases adapted to pseudodifferential operators. Zbl 0806.65112
Dahlke, Stephan; Weinreich, Ilona
5
1994
Convergence analysis of spatially adaptive Rothe methods. Zbl 1309.65107
Cioica, Petru A.; Dahlke, Stephan; Döhring, Nicolas; Friedrich, Ulrich; Kinzel, Stefan; Lindner, Felix; Raasch, Thorsten; Ritter, Klaus; Schilling, René L.
4
2014
Besov regularity for the Poisson equation in smooth and polyhedral cones. Zbl 1169.35018
Dahlke, Stephan; Sickel, Winfried
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
Interpolating scaling functions with duals. Zbl 1087.42024
Dahlke, Stephan; Maass, Peter; Teschke, Gerd
4
2004
Adaptive wavelet BEM for boundary integral equations: theory and numerical experiments. Zbl 1388.31008
Dahlke, S.; Harbrecht, H.; Utzinger, M.; Weimar, Markus
3
2018
The \(\alpha \)-modulation transform: admissibility, coorbit theory and frames of compactly supported functions. Zbl 1373.42037
Speckbacher, M.; Bayer, D.; Dahlke, S.; Balazs, P.
3
2017
Besov regularity for operator equations on patchwise smooth manifolds. Zbl 1400.46026
Dahlke, Stephan; Weimar, Markus
3
2015
Piecewise tensor product wavelet bases by extensions and approximation rates. Zbl 1277.65093
Chegini, Nabi; Dahlke, Stephan; Friedrich, Ulrich; Stevenson, Rob
3
2013
An outline of adaptive wavelet Galerkin methods for Tikhonov regularization of inverse parabolic problems. Zbl 1037.65055
Dahlke, Stephan; Maaß, Peter
3
2003
Biorthogonal box spline wavelet bases. Zbl 0946.65149
Dahlke, Stephan; Gröchenig, Karlheinz; Latour, Vera
3
1997
Biorthogonal wavelets and multigrid. Zbl 0809.65085
Dahlke, Stephan; Kunoth, Angela
3
1994
Invariante Mannigfaltigkeiten für Produkte zufälliger Diffeomorphismen. (Invariant manifolds for products of random diffeomorphisms). Zbl 0696.58028
Dahlke, Stephan
3
1989
Recent progress in shearlet theory: systematic construction of shearlet dilation groups, characterization of wavefront sets, and new embeddings. Zbl 1392.42031
Alberti, Giovanni S.; Dahlke, Stephan; De Mari, Filippo; De Vito, Ernesto; Führ, Hartmut
2
2017
Harmonic and applied analysis. From groups to signals. Zbl 1329.42001
Dahlke, Stephan (ed.); De Mari, Filippo (ed.); Grohs, Philipp (ed.); Labate, Demetrio (ed.)
2
2015
Optimal approximation of elliptic problems by linear and nonlinear mappings. IV: Errors in \(L_{2}\) and other norms. Zbl 1184.65056
Dahlke, Stephan; Novak, Erich; Sickel, Winfried
2
2010
Optimal approximation of elliptic problems by linear and nonlinear mappings. III: Frames. Zbl 1129.65038
Dahlke, Stephan; Novak, Erich; Sickel, Winfried
2
2007
Besov regularity of edge singularities for the Poisson equation in polyhedral domains. Zbl 1071.65172
Dahlke, Stephan
2
2002
Convergent adaptive wavelet methods for the Stokes problem. Zbl 0998.76067
Dahlke, Stephan; Hochmuth, Reinhard; Urban, Karsten
2
2000
Besov regularity for the Stokes problem. Zbl 0947.35107
Dahlke, Stephan
2
1999
Besov regularity for interface problems. Zbl 0928.35025
Dahlke, S.
2
1999
Generalized cardinal B-splines: Stability, linear independence, and appropriate scaling matrices. Zbl 0868.41008
Dahlke, S.; Latour, V.; Neeb, M.
2
1997
A note on the linear independence of characteristic functions of self-similar sets. Zbl 0854.28002
Dahlke, Stephan; Latour, Vera
2
1996
Besov regularity of parabolic and hyperbolic PDEs. Zbl 1420.35055
Dahlke, Stephan; Schneider, Cornelia
1
2019
Quarkonial frames with compression properties. Zbl 1383.46025
Dahlke, Stephan; Keding, Philipp; Raasch, Thorsten
1
2017
On the convergence analysis of the inexact linearly implicit Euler scheme for a class of stochastic partial differential equations. Zbl 1337.60160
Cioica, P. A.; Dahlke, S.; Döhring, N.; Friedrich, U.; Kinzel, S.; Lindner, F.; Raasch, T.; Ritter, K.; Schilling, René L.
1
2016
From group representations to signal analysis. Zbl 1344.94019
Dahlke, Stephan; De Mari, Filippo; Grohs, Philipp; Labate, Demetrio
1
2015
Adaptive wavelet methods for SPDEs. Zbl 1317.60084
Cioica, Petru A.; Dahlke, Stephan; Döhring, Nicolas; Kinzel, Stefan; Lindner, Felix; Raasch, Thorsten; Ritter, Klaus; Schilling, René L.
1
2014
Piecewise tensor product wavelet bases by extensions and approximation rates. Zbl 1317.65233
Chegini, Nabi G.; Dahlke, Stephan; Friedrich, Ulrich; Stevenson, Rob
1
2014
A model for ‘antagonistic’ protein dynamics. Zbl 1306.92019
Rashkov, P.; Schmitt, B. A.; Søgaard-Andersen, L.; Lenz, P.; Dahlke, S.
1
2013
A note on quarkonial systems and multilevel partition of unity methods. Zbl 1273.41009
Dahlke, Stephan; Oswald, Peter; Raasch, Thorsten
1
2013
A model of oscillatory protein dynamics in bacteria. Zbl 1254.92029
Rashkov, Peter; Schmitt, Bernhard A.; Søgaard-Andersen, Lotte; Lenz, Peter; Dahlke, Stephan
1
2012
Multilevel preconditioning and adaptive sparse solution of inverse problems. Zbl 1239.65037
Dahlke, Stephan; Fornasier, Massimo; Raasch, Thorsten
1
2012
Adaptive wavelet methods and sparsity reconstruction for inverse heat conduction problems. Zbl 1207.65114
Bonesky, Thomas; Dahlke, Stephan; Maass, Peter; Raasch, Thorsten
1
2010
A note on interpolating scaling functions. Zbl 1085.41500
Dahlke, Stephan; Maass, Peter
1
2003
Reconstruction of wideband reflectivity densities by wavelet transforms. Zbl 1020.42024
Dahlke, Stephan; Maass, Peter; Teschke, Gerd
1
2003
Invariant manifolds for products of random diffeomorphisms. Zbl 0886.58058
Dahlke, Stephan
1
1997
Multiresolution analysis, Haar bases and wavelets on Riemannian manifolds. Zbl 0879.42025
Dahlke, Stephan
1
1994
A note on generalized Weyl-Heisenberg frames. Zbl 0875.42004
Dahlke, S.
1
1994
Besov regularity of parabolic and hyperbolic PDEs. Zbl 1420.35055
Dahlke, Stephan; Schneider, Cornelia
1
2019
Adaptive wavelet BEM for boundary integral equations: theory and numerical experiments. Zbl 1388.31008
Dahlke, S.; Harbrecht, H.; Utzinger, M.; Weimar, Markus
3
2018
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
The \(\alpha \)-modulation transform: admissibility, coorbit theory and frames of compactly supported functions. Zbl 1373.42037
Speckbacher, M.; Bayer, D.; Dahlke, S.; Balazs, P.
3
2017
Recent progress in shearlet theory: systematic construction of shearlet dilation groups, characterization of wavefront sets, and new embeddings. Zbl 1392.42031
Alberti, Giovanni S.; Dahlke, Stephan; De Mari, Filippo; De Vito, Ernesto; Führ, Hartmut
2
2017
Quarkonial frames with compression properties. Zbl 1383.46025
Dahlke, Stephan; Keding, Philipp; Raasch, Thorsten
1
2017
Besov regularity of solutions to the \(p\)-Poisson equation. Zbl 1330.35189
Dahlke, Stephan; Diening, Lars; Hartmann, Christoph; Scharf, Benjamin; Weimar, Markus
8
2016
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
On the convergence analysis of the inexact linearly implicit Euler scheme for a class of stochastic partial differential equations. Zbl 1337.60160
Cioica, P. A.; Dahlke, S.; Döhring, N.; Friedrich, U.; Kinzel, S.; Lindner, F.; Raasch, T.; Ritter, K.; Schilling, René L.
1
2016
Besov regularity for operator equations on patchwise smooth manifolds. Zbl 1400.46026
Dahlke, Stephan; Weimar, Markus
3
2015
Harmonic and applied analysis. From groups to signals. Zbl 1329.42001
Dahlke, Stephan (ed.); De Mari, Filippo (ed.); Grohs, Philipp (ed.); Labate, Demetrio (ed.)
2
2015
From group representations to signal analysis. Zbl 1344.94019
Dahlke, Stephan; De Mari, Filippo; Grohs, Philipp; Labate, Demetrio
1
2015
Convergence analysis of spatially adaptive Rothe methods. Zbl 1309.65107
Cioica, Petru A.; Dahlke, Stephan; Döhring, Nicolas; Friedrich, Ulrich; Kinzel, Stefan; Lindner, Felix; Raasch, Thorsten; Ritter, Klaus; Schilling, René L.
4
2014
Adaptive wavelet methods for SPDEs. Zbl 1317.60084
Cioica, Petru A.; Dahlke, Stephan; Döhring, Nicolas; Kinzel, Stefan; Lindner, Felix; Raasch, Thorsten; Ritter, Klaus; Schilling, René L.
1
2014
Piecewise tensor product wavelet bases by extensions and approximation rates. Zbl 1317.65233
Chegini, Nabi G.; Dahlke, Stephan; Friedrich, Ulrich; Stevenson, Rob
1
2014
Shearlet coorbit spaces: traces and embeddings in higher dimensions. Zbl 1260.22004
Dahlke, Stephan; Häuser, Sören; Steidl, Gabriele; Teschke, Gerd
12
2013
On Besov regularity of solutions to nonlinear elliptic partial differential equations. Zbl 1275.41021
Dahlke, Stephan; Sickel, Winfried
6
2013
Piecewise tensor product wavelet bases by extensions and approximation rates. Zbl 1277.65093
Chegini, Nabi; Dahlke, Stephan; Friedrich, Ulrich; Stevenson, Rob
3
2013
A model for ‘antagonistic’ protein dynamics. Zbl 1306.92019
Rashkov, P.; Schmitt, B. A.; Søgaard-Andersen, L.; Lenz, P.; Dahlke, S.
1
2013
A note on quarkonial systems and multilevel partition of unity methods. Zbl 1273.41009
Dahlke, Stephan; Oswald, Peter; Raasch, Thorsten
1
2013
Multivariate shearlet transform, shearlet coorbit spaces and their structural properties. Zbl 1247.42025
Dahlke, Stephan; Steidl, Gabriele; Teschke, Gerd
13
2012
Spatial Besov regularity for semilinear stochastic partial differential equations on bounded Lipschitz domains. Zbl 1411.60093
Cioica, Petru A.; Dahlke, Stephan
10
2012
Coorbit space theory for the Toeplitz shearlet transform. Zbl 1252.42031
Dahlke, Stephan; Häuser, Sören; Teschke, Gerd
8
2012
Adaptive wavelet methods for the stochastic Poisson equation. Zbl 1260.65003
Cioica, Petru A.; Dahlke, Stephan; Döhring, Nicolas; Kinzel, Stefan; Lindner, Felix; Raasch, Thorsten; Ritter, Klaus; Schilling, René L.
5
2012
A model of oscillatory protein dynamics in bacteria. Zbl 1254.92029
Rashkov, Peter; Schmitt, Bernhard A.; Søgaard-Andersen, Lotte; Lenz, Peter; Dahlke, Stephan
1
2012
Multilevel preconditioning and adaptive sparse solution of inverse problems. Zbl 1239.65037
Dahlke, Stephan; Fornasier, Massimo; Raasch, Thorsten
1
2012
Shearlet coorbit spaces: Compactly supported analyzing shearlets, traces and embeddings. Zbl 1243.46023
Dahlke, Stephan; Steidl, Gabriele; Teschke, Gerd
26
2011
Spatial Besov regularity for stochastic partial differential equations on Lipschitz domains. Zbl 1250.60026
Cioica, Petru A.; Dahlke, Stephan; Kinzel, Stefan; Lindner, Felix; Raasch, Thorsten; Ritter, Klaus; Schilling, René L.
6
2011
The continuous shearlet transform in arbitrary space dimensions. Zbl 1194.42038
Dahlke, Stephan; Steidl, Gabriele; Teschke, Gerd
47
2010
Optimal adaptive computations in the Jaffard algebra and localized frames. Zbl 1184.42029
Dahlke, Stephan; Fornasier, Massimo; Gröchenig, Karlheinz
8
2010
Optimal approximation of elliptic problems by linear and nonlinear mappings. IV: Errors in \(L_{2}\) and other norms. Zbl 1184.65056
Dahlke, Stephan; Novak, Erich; Sickel, Winfried
2
2010
Adaptive wavelet methods and sparsity reconstruction for inverse heat conduction problems. Zbl 1207.65114
Bonesky, Thomas; Dahlke, Stephan; Maass, Peter; Raasch, Thorsten
1
2010
Shearlet coorbit spaces and associated Banach frames. Zbl 1171.42019
Dahlke, Stephan; Kutyniok, Gitta; Steidl, Gabriele; Teschke, Gerd
62
2009
Nonlinear and adaptive frame approximation schemes for elliptic PDEs: theory and numerical experiments. Zbl 1181.65137
Dahlke, Stephan; Fornasier, Massimo; Primbs, Miriam; Raasch, Thorsten; Werner, Manuel
10
2009
Besov regularity for the Poisson equation in smooth and polyhedral cones. Zbl 1169.35018
Dahlke, Stephan; Sickel, Winfried
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
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
Adaptive frame methods for elliptic operator equations. Zbl 1122.65103
Dahlke, Stephan; Fornasier, Massimo; Raasch, Thorsten
37
2007
Adaptive frame methods for elliptic operator equations: The steepest descent approach. Zbl 1153.65050
Dahlke, Stephan; Raasch, Thorsten; Werner, Manuel; Fornasier, Massimo; Stevenson, Rob
34
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
Optimal approximation of elliptic problems by linear and nonlinear mappings. III: Frames. Zbl 1129.65038
Dahlke, Stephan; Novak, Erich; Sickel, Winfried
2
2007
Optimal approximation of elliptic problems by linear and nonlinear mappings. II. Zbl 1102.65061
Dahlke, Stephan; Novak, Erich; Sickel, Winfried
21
2006
Optimal approximation of elliptic problems by linear and nonlinear mappings. I. Zbl 1092.65044
Dahlke, Stephan; Novak, Erich; Sickel, Winfried
14
2006
Adaptive application of operators in standard representation. Zbl 1101.65111
Barinka, Arne; Dahlke, Stephan; Dahmen, Wolfgang
5
2006
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
An outline of adaptive wavelet Galerkin methods for Tikhonov regularization of inverse parabolic problems. Zbl 1037.65055
Dahlke, Stephan; Maaß, Peter
3
2003
A note on interpolating scaling functions. Zbl 1085.41500
Dahlke, Stephan; Maass, Peter
1
2003
Reconstruction of wideband reflectivity densities by wavelet transforms. Zbl 1020.42024
Dahlke, Stephan; Maass, Peter; Teschke, Gerd
1
2003
Adaptive wavelet methods for saddle point problems – optimal convergence rates. Zbl 1024.65101
Dahlke, Stephan; Dahmen, Wolfgang; Urban, Karsten
25
2002
Quadrature formulas for refinable functions and wavelets. II: Error analysis. Zbl 1031.65036
Barinka, Arne; Barsch, Titus; Dahlke, Stephan; Mommer, Mario; Konik, Michael
6
2002
Besov regularity of edge singularities for the Poisson equation in polyhedral domains. Zbl 1071.65172
Dahlke, Stephan
2
2002
Adaptive wavelet schemes for elliptic problems–implementation and numerical experiments. Zbl 1016.65090
Barinka, Arne; Barsch, Titus; Charton, Philippe; Cohen, Albert; Dahlke, Stephan; Dahmen, Wolfgang; Urban, Karsten
25
2001
Some remarks on quadrature formulas for refinable functions and wavelets. Zbl 0992.65012
Barinka, A.; Barsch, T.; Dahlke, S.; Konik, M.
10
2001
Adaptive wavelet methods for saddle point problems. Zbl 0965.65074
Dahlke, Stephan; Hochmuth, Reinhard; Urban, Karsten
7
2000
Convergent adaptive wavelet methods for the Stokes problem. Zbl 0998.76067
Dahlke, Stephan; Hochmuth, Reinhard; Urban, Karsten
2
2000
Besov regularity for elliptic boundary value problems in polygonal domains. Zbl 0940.35064
Dahlke, S.
22
1999
A new approach to interpolating scaling functions. Zbl 1016.41006
Dahlke, Stephan; Gröchenig, Karlheinz; Maass, Peter
9
1999
Besov regularity for the Stokes problem. Zbl 0947.35107
Dahlke, Stephan
2
1999
Besov regularity for interface problems. Zbl 0928.35025
Dahlke, S.
2
1999
Besov regularity for second order elliptic boundary value problems with variable coefficients. Zbl 0895.35017
Dahlke, Stephan
5
1998
Besov regularity for elliptic boundary value problems. Zbl 0883.35018
Dahlke, Stephan; DeVore, Ronald A.
43
1997
Stable multiscale bases and local error estimation for elliptic problems. Zbl 0872.65098
Dahlke, Stephan; Dahmen, Wolfgang; Hochmuth, Reinhard; Schneider, Reinhold
35
1997
Interpolating refinable functions and wavelets for general scaling matrices. Zbl 0895.42017
Dahlke, Stephan; Maass, Peter
8
1997
Biorthogonal box spline wavelet bases. Zbl 0946.65149
Dahlke, Stephan; Gröchenig, Karlheinz; Latour, Vera
3
1997
Generalized cardinal B-splines: Stability, linear independence, and appropriate scaling matrices. Zbl 0868.41008
Dahlke, S.; Latour, V.; Neeb, M.
2
1997
Invariant manifolds for products of random diffeomorphisms. Zbl 0886.58058
Dahlke, Stephan
1
1997
Continuous wavelet transforms with applications to analyzing functions on spheres. Zbl 0902.42017
Dahlke, Stephan; Maass, Peter
5
1996
A note on the linear independence of characteristic functions of self-similar sets. Zbl 0854.28002
Dahlke, Stephan; Latour, Vera
2
1996
Multiresolution analysis and wavelets on \(S^ 2\) and \(S^ 3\). Zbl 0849.42020
Dahlke, Stephan; Dahmen, Wolfgang; Weinreich, Ilona; Schmitt, Eberhard
21
1995
The affine uncertainty principle in one and two dimensions. Zbl 0843.42019
Dahlke, S.; Maass, P.
16
1995
Smooth refinable functions and wavelets obtained by convolution products. Zbl 0810.42020
Dahlke, Stephan; Dahmen, Wolfgang; Latour, Vera
14
1995
Multiresolution analysis and wavelets on locally compact Abelian groups. Zbl 0834.43004
Dahlke, Stephan
18
1994
Wavelet bases adapted to pseudodifferential operators. Zbl 0806.65112
Dahlke, Stephan; Weinreich, Ilona
5
1994
Biorthogonal wavelets and multigrid. Zbl 0809.65085
Dahlke, Stephan; Kunoth, Angela
3
1994
Multiresolution analysis, Haar bases and wavelets on Riemannian manifolds. Zbl 0879.42025
Dahlke, Stephan
1
1994
A note on generalized Weyl-Heisenberg frames. Zbl 0875.42004
Dahlke, S.
1
1994
Wavelet-Galerkin methods: An adapted biorthogonal wavelet basis. Zbl 0777.34015
Dahlke, Stephan; Weinreich, Ilona
14
1993
Invariante Mannigfaltigkeiten für Produkte zufälliger Diffeomorphismen. (Invariant manifolds for products of random diffeomorphisms). Zbl 0696.58028
Dahlke, Stephan
3
1989
all top 5

Cited by 563 Authors

48 Dahlke, Stephan
14 Teschke, Gerd
12 De Vito, Ernesto
11 Labate, Demetrio
11 Steidl, Gabriele
10 De Mari, Filippo
10 Fornasier, Massimo
10 Harbrecht, Helmut
10 Kutyniok, Gitta
9 Dahmen, Wolfgang A.
9 Führ, Hartmut
9 Raasch, Thorsten
8 Grohs, Philipp
8 Guo, Kanghui
8 Schneider, Reinhold
8 Sickel, Winfried
8 Stevenson, Rob P.
7 Balazs, Peter
7 Kamyabi-Gol, Rajab Ali
7 Weimar, Markus
6 Häuser, Sören
6 Maass, Peter
6 Petersen, Philipp Christian
5 Antoine, Jean-Pierre
5 Bacuta, Constantin
5 Gröchenig, Karlheinz
5 Hansen, Anders C.
5 Lim, Wang-Q
5 Mirzaee, Farshid
5 Nielsen, Morten
5 Novak, Erich
5 Schwab, Christoph
5 Shah, Firdous Ahmad
5 Stark, Hans-Georg
4 Adcock, Ben
4 Aimar, Hugo A.
4 Alberti, Giovanni S.
4 Bartolucci, Francesca
4 Canuto, Claudio
4 Christensen, Jens Gerlach
4 Cioica, Petru A.
4 Döhring, Nicolas
4 Feichtinger, Hans Georg
4 Gómez, Ivana
4 Hansen, Markus
4 Hochmuth, Reinhard
4 Jahan, Qaiser
4 Kinzel, Stefan
4 Kunoth, Angela
4 Lindner, Felix
4 Odone, Francesca
4 Sagiv, Chen
4 Schneider, Cornelia
4 Sochen, Nir
4 Tantary, Azhar Y.
4 Raisi Tousi, Reihaneh
4 Urban, Karsten
4 Vandergheynst, Pierre
4 Vera, Daniel J.
4 Voigtlaender, Felix
3 Behera, Biswaranjan
3 Cerejeiras, Paula
3 Conti, Costanza
3 Czaja, Wojciech
3 DeVore, Ronald A.
3 Ehler, Martin
3 Gittelson, Claude Jeffrey
3 Griebel, Michael
3 Han, Bin
3 Heinrich, Stefan
3 Heydari, Mohammad Hossien
3 Hooshmandasl, Mohammad Reza
3 Jiang, Yingchun
3 Kähler, Uwe
3 Kevlahan, Nicholas K.-R.
3 Koch, Karsten
3 Maalek Ghaini, F. M.
3 Mehra, Mani
3 Mitrea, Marius
3 Ólafsson, Gestur
3 Oussa, Vignon
3 Perrier, Valérie
3 Pesenson, Isaac Zalmanovich
3 Poon, Clarice
3 Ritter, Klaus
3 Roman, Bogdan
3 Samadyar, Nasrin
3 Schilling, René Leander
3 Speckbacher, Michael
3 Sun, Qiyu
3 Tabacco, Anita
3 Vigogna, Stefano
3 Vybíral, Jan
3 Zakharov, Victor G.
3 Zare, Masoumeh
2 Alipour, Sahar
2 Amiri, Zahra
2 Arefijamaal, Ali Akbar
2 Askari-Hemmat, Ataollah
2 Banouh, Hicham
...and 463 more Authors
all top 5

Cited in 126 Serials

46 Applied and Computational Harmonic Analysis
30 The Journal of Fourier Analysis and Applications
20 Advances in Computational Mathematics
19 Journal of Computational and Applied Mathematics
18 Mathematics of Computation
15 Journal of Approximation Theory
14 International Journal of Wavelets, Multiresolution and Information Processing
11 Journal of Complexity
10 Journal of Computational Physics
10 Applied Mathematics and Computation
10 Journal of Functional Analysis
8 Journal of Mathematical Analysis and Applications
8 Numerical Functional Analysis and Optimization
8 Constructive Approximation
7 Numerische Mathematik
7 Transactions of the American Mathematical Society
7 Applied Numerical Mathematics
6 Journal of Mathematical Physics
6 Results in Mathematics
6 Advances in Applied Clifford Algebras
5 Monatshefte für Mathematik
5 Numerical Algorithms
5 Foundations of Computational Mathematics
4 Mathematische Nachrichten
4 Journal of Scientific Computing
4 Engineering Analysis with Boundary Elements
4 Analysis and Applications (Singapore)
4 Journal of Pseudo-Differential Operators and Applications
3 Applicable Analysis
3 Computer Methods in Applied Mechanics and Engineering
3 Collectanea Mathematica
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Numerical Methods for Partial Differential Equations
3 Linear Algebra and its Applications
3 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
3 GEM - International Journal on Geomathematics
3 Sahand Communications in Mathematical Analysis
3 Wavelets and Linear Algebra
2 Computers & Mathematics with Applications
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 BIT
2 Computing
2 Journal of Differential Equations
2 Proceedings of the American Mathematical Society
2 SIAM Journal on Numerical Analysis
2 Acta Mathematica Hungarica
2 RAIRO. Modélisation Mathématique et Analyse Numérique
2 Applied Mathematics Letters
2 Japan Journal of Industrial and Applied Mathematics
2 The Journal of Geometric Analysis
2 Applied Mathematical Modelling
2 International Journal of Computer Mathematics
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 Journal of Dynamics and Differential Equations
2 Integral Transforms and Special Functions
2 Computational Methods in Applied Mathematics
2 Sampling Theory in Signal and Image Processing
2 Mediterranean Journal of Mathematics
2 Science China. Mathematics
1 Indian Journal of Pure & Applied Mathematics
1 International Journal of Theoretical Physics
1 Inverse Problems
1 Journal of Engineering Mathematics
1 Mathematical Biosciences
1 Mathematical Methods in the Applied Sciences
1 Reports on Mathematical Physics
1 Archiv der Mathematik
1 Calcolo
1 Colloquium Mathematicum
1 International Journal of Mathematics and Mathematical Sciences
1 Integral Equations and Operator Theory
1 International Journal for Numerical Methods in Engineering
1 Journal of the Mathematical Society of Japan
1 Manuscripta Mathematica
1 Mathematics and Computers in Simulation
1 Mathematische Zeitschrift
1 Acta Mathematicae Applicatae Sinica. English Series
1 Computational Mechanics
1 Journal of Integral Equations and Applications
1 Science in China. Series A
1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
1 Annals of Physics
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 SIAM Journal on Mathematical Analysis
1 SIAM Review
1 Stochastic Processes and their Applications
1 Expositiones Mathematicae
1 Journal of Mathematical Imaging and Vision
1 Potential Analysis
1 Communications in Numerical Methods in Engineering
1 Mathematical Problems in Engineering
1 Mathematical Communications
1 Vietnam Journal of Mathematics
1 Abstract and Applied Analysis
1 Journal of Inequalities and Applications
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Revista Matemática Complutense
1 Acta Mathematica Sinica. English Series
1 Engineering Computations
1 Combustion Theory and Modelling
...and 26 more Serials
all top 5

Cited in 50 Fields

251 Harmonic analysis on Euclidean spaces (42-XX)
203 Numerical analysis (65-XX)
95 Partial differential equations (35-XX)
83 Functional analysis (46-XX)
79 Approximations and expansions (41-XX)
57 Information and communication theory, circuits (94-XX)
44 Operator theory (47-XX)
33 Abstract harmonic analysis (43-XX)
31 Topological groups, Lie groups (22-XX)
23 Probability theory and stochastic processes (60-XX)
16 Quantum theory (81-XX)
11 Number theory (11-XX)
11 Integral transforms, operational calculus (44-XX)
11 Calculus of variations and optimal control; optimization (49-XX)
11 Fluid mechanics (76-XX)
9 Linear and multilinear algebra; matrix theory (15-XX)
8 Functions of a complex variable (30-XX)
8 Integral equations (45-XX)
8 Computer science (68-XX)
7 Ordinary differential equations (34-XX)
7 Biology and other natural sciences (92-XX)
5 Real functions (26-XX)
5 Potential theory (31-XX)
5 Dynamical systems and ergodic theory (37-XX)
5 Statistics (62-XX)
4 Special functions (33-XX)
4 Mechanics of deformable solids (74-XX)
3 Group theory and generalizations (20-XX)
3 Difference and functional equations (39-XX)
3 Differential geometry (53-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Classical thermodynamics, heat transfer (80-XX)
3 Geophysics (86-XX)
3 Operations research, mathematical programming (90-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Convex and discrete geometry (52-XX)
1 Combinatorics (05-XX)
1 Field theory and polynomials (12-XX)
1 Algebraic geometry (14-XX)
1 Nonassociative rings and algebras (17-XX)
1 \(K\)-theory (19-XX)
1 Measure and integration (28-XX)
1 Sequences, series, summability (40-XX)
1 Manifolds and cell complexes (57-XX)
1 Mechanics of particles and systems (70-XX)
1 Optics, electromagnetic theory (78-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Systems theory; control (93-XX)
1 Mathematics education (97-XX)

Citations by Year

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