Edit Profile Dahlke, Stephan Compute Distance To: Compute Author ID: 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 all top 5 Fields 53 Harmonic analysis on Euclidean spaces (42-XX) 52 Numerical analysis (65-XX) 37 Partial differential equations (35-XX) 29 Functional analysis (46-XX) 23 Approximations and expansions (41-XX) 18 Operator theory (47-XX) 10 Topological groups, Lie groups (22-XX) 10 Information and communication theory, circuits (94-XX) 7 Abstract harmonic analysis (43-XX) 7 Probability theory and stochastic processes (60-XX) 5 General and overarching topics; collections (00-XX) 5 Biology and other natural sciences (92-XX) 4 Manifolds and cell complexes (57-XX) 3 Ordinary differential equations (34-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Potential theory (31-XX) 2 Fluid mechanics (76-XX) 2 Geophysics (86-XX) 1 Measure and integration (28-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications 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 1171.42019Dahlke, Stephan; Kutyniok, Gitta; Steidl, Gabriele; Teschke, Gerd 62 2009 The uncertainty principle associated with the continuous Shearlet transform. Zbl 1257.42047Dahlke, Stephan; Kutyniok, Gitta; Maass, Peter; Sagiv, Chen; Stark, Hans-Georg; Teschke, Gerd 59 2008 The continuous shearlet transform in arbitrary space dimensions. Zbl 1194.42038Dahlke, Stephan; Steidl, Gabriele; Teschke, Gerd 47 2010 Besov regularity for elliptic boundary value problems. Zbl 0883.35018Dahlke, Stephan; DeVore, Ronald A. 43 1997 Adaptive frame methods for elliptic operator equations. Zbl 1122.65103Dahlke, Stephan; Fornasier, Massimo; Raasch, Thorsten 37 2007 Stable multiscale bases and local error estimation for elliptic problems. Zbl 0872.65098Dahlke, Stephan; Dahmen, Wolfgang; Hochmuth, Reinhard; Schneider, Reinhold 35 1997 Adaptive frame methods for elliptic operator equations: The steepest descent approach. Zbl 1153.65050Dahlke, Stephan; Raasch, Thorsten; Werner, Manuel; Fornasier, Massimo; Stevenson, Rob 34 2007 Generalized coorbit theory, Banach frames, and the relation to \({\alpha}\)-modulation spaces. Zbl 1215.42035Dahlke, Stephan; Fornasier, Massimo; Rauhut, Holger; Steidl, Gabriele; Teschke, Gerd 27 2008 Shearlet coorbit spaces: Compactly supported analyzing shearlets, traces and embeddings. Zbl 1243.46023Dahlke, Stephan; Steidl, Gabriele; Teschke, Gerd 26 2011 Adaptive wavelet methods for saddle point problems – optimal convergence rates. Zbl 1024.65101Dahlke, Stephan; Dahmen, Wolfgang; Urban, Karsten 25 2002 Adaptive wavelet schemes for elliptic problems–implementation and numerical experiments. Zbl 1016.65090Barinka, 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 0940.35064Dahlke, S. 22 1999 Optimal approximation of elliptic problems by linear and nonlinear mappings. II. Zbl 1102.65061Dahlke, Stephan; Novak, Erich; Sickel, Winfried 21 2006 Multiresolution analysis and wavelets on \(S^ 2\) and \(S^ 3\). Zbl 0849.42020Dahlke, Stephan; Dahmen, Wolfgang; Weinreich, Ilona; Schmitt, Eberhard 21 1995 Coorbit spaces and Banach frames on homogeneous spaces with applications to the sphere. Zbl 1113.42023Dahlke, Stephan; Steidl, Gabriele; Teschke, Gerd 18 2004 Multiresolution analysis and wavelets on locally compact Abelian groups. Zbl 0834.43004Dahlke, Stephan 18 1994 The affine uncertainty principle in one and two dimensions. Zbl 0843.42019Dahlke, S.; Maass, P. 16 1995 Optimal approximation of elliptic problems by linear and nonlinear mappings. I. Zbl 1092.65044Dahlke, Stephan; Novak, Erich; Sickel, Winfried 14 2006 Smooth refinable functions and wavelets obtained by convolution products. Zbl 0810.42020Dahlke, Stephan; Dahmen, Wolfgang; Latour, Vera 14 1995 Wavelet-Galerkin methods: An adapted biorthogonal wavelet basis. Zbl 0777.34015Dahlke, Stephan; Weinreich, Ilona 14 1993 Multivariate shearlet transform, shearlet coorbit spaces and their structural properties. Zbl 1247.42025Dahlke, Stephan; Steidl, Gabriele; Teschke, Gerd 13 2012 Weighted coorbit spaces and Banach frames on homogeneous spaces. Zbl 1098.42025Dahlke, Stephan; Steidl, Gabriele; Teschke, Gerd 13 2004 Shearlet coorbit spaces: traces and embeddings in higher dimensions. Zbl 1260.22004Dahlke, Stephan; Häuser, Sören; Steidl, Gabriele; Teschke, Gerd 12 2013 Spatial Besov regularity for semilinear stochastic partial differential equations on bounded Lipschitz domains. Zbl 1411.60093Cioica, Petru A.; Dahlke, Stephan 10 2012 Nonlinear and adaptive frame approximation schemes for elliptic PDEs: theory and numerical experiments. Zbl 1181.65137Dahlke, Stephan; Fornasier, Massimo; Primbs, Miriam; Raasch, Thorsten; Werner, Manuel 10 2009 Some remarks on quadrature formulas for refinable functions and wavelets. Zbl 0992.65012Barinka, A.; Barsch, T.; Dahlke, S.; Konik, M. 10 2001 Coorbit spaces with voice in a Fréchet space. Zbl 1375.43001Dahlke, 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 1016.41006Dahlke, Stephan; Gröchenig, Karlheinz; Maass, Peter 9 1999 Besov regularity of solutions to the \(p\)-Poisson equation. Zbl 1330.35189Dahlke, Stephan; Diening, Lars; Hartmann, Christoph; Scharf, Benjamin; Weimar, Markus 8 2016 Coorbit space theory for the Toeplitz shearlet transform. Zbl 1252.42031Dahlke, Stephan; Häuser, Sören; Teschke, Gerd 8 2012 Optimal adaptive computations in the Jaffard algebra and localized frames. Zbl 1184.42029Dahlke, Stephan; Fornasier, Massimo; Gröchenig, Karlheinz 8 2010 Interpolating refinable functions and wavelets for general scaling matrices. Zbl 0895.42017Dahlke, Stephan; Maass, Peter 8 1997 Frames and coorbit theory on homogeneous spaces with a special guidance on the sphere. Zbl 1141.42019Dahlke, Stephan; Steidl, Gabriele; Teschke, Gerd 7 2007 Adaptive wavelet methods for saddle point problems. Zbl 0965.65074Dahlke, Stephan; Hochmuth, Reinhard; Urban, Karsten 7 2000 On Besov regularity of solutions to nonlinear elliptic partial differential equations. Zbl 1275.41021Dahlke, Stephan; Sickel, Winfried 6 2013 Spatial Besov regularity for stochastic partial differential equations on Lipschitz domains. Zbl 1250.60026Cioica, 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 1031.65036Barinka, Arne; Barsch, Titus; Dahlke, Stephan; Mommer, Mario; Konik, Michael 6 2002 Different faces of the shearlet group. Zbl 1344.42027Dahlke, Stephan; De Mari, Filippo; De Vito, Ernesto; Häuser, Sören; Steidl, Gabriele; Teschke, Gerd 5 2016 Adaptive wavelet methods for the stochastic Poisson equation. Zbl 1260.65003Cioica, 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 1184.94195Dahlke, Stephan; Teschke, Gerd; Stingl, Krunoslav 5 2008 Adaptive application of operators in standard representation. Zbl 1101.65111Barinka, Arne; Dahlke, Stephan; Dahmen, Wolfgang 5 2006 Besov regularity for second order elliptic boundary value problems with variable coefficients. Zbl 0895.35017Dahlke, Stephan 5 1998 Continuous wavelet transforms with applications to analyzing functions on spheres. Zbl 0902.42017Dahlke, Stephan; Maass, Peter 5 1996 Wavelet bases adapted to pseudodifferential operators. Zbl 0806.65112Dahlke, Stephan; Weinreich, Ilona 5 1994 Convergence analysis of spatially adaptive Rothe methods. Zbl 1309.65107Cioica, 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 1169.35018Dahlke, Stephan; Sickel, Winfried 4 2009 The canonical coherent states associated with quotients of the affine Weyl-Heisenberg group. Zbl 1165.22007Dahlke, Stephan; Lorenz, Dirk A.; Maass, Peter; Sagiv, Chen; Teschke, Gerd 4 2008 Interpolating scaling functions with duals. Zbl 1087.42024Dahlke, Stephan; Maass, Peter; Teschke, Gerd 4 2004 Adaptive wavelet BEM for boundary integral equations: theory and numerical experiments. Zbl 1388.31008Dahlke, S.; Harbrecht, H.; Utzinger, M.; Weimar, Markus 3 2018 The \(\alpha \)-modulation transform: admissibility, coorbit theory and frames of compactly supported functions. Zbl 1373.42037Speckbacher, M.; Bayer, D.; Dahlke, S.; Balazs, P. 3 2017 Besov regularity for operator equations on patchwise smooth manifolds. Zbl 1400.46026Dahlke, Stephan; Weimar, Markus 3 2015 Piecewise tensor product wavelet bases by extensions and approximation rates. Zbl 1277.65093Chegini, Nabi; Dahlke, Stephan; Friedrich, Ulrich; Stevenson, Rob 3 2013 An outline of adaptive wavelet Galerkin methods for Tikhonov regularization of inverse parabolic problems. Zbl 1037.65055Dahlke, Stephan; Maaß, Peter 3 2003 Biorthogonal box spline wavelet bases. Zbl 0946.65149Dahlke, Stephan; Gröchenig, Karlheinz; Latour, Vera 3 1997 Biorthogonal wavelets and multigrid. Zbl 0809.65085Dahlke, Stephan; Kunoth, Angela 3 1994 Invariante Mannigfaltigkeiten für Produkte zufälliger Diffeomorphismen. (Invariant manifolds for products of random diffeomorphisms). Zbl 0696.58028Dahlke, Stephan 3 1989 Recent progress in shearlet theory: systematic construction of shearlet dilation groups, characterization of wavefront sets, and new embeddings. Zbl 1392.42031Alberti, Giovanni S.; Dahlke, Stephan; De Mari, Filippo; De Vito, Ernesto; Führ, Hartmut 2 2017 Harmonic and applied analysis. From groups to signals. Zbl 1329.42001Dahlke, 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 1184.65056Dahlke, Stephan; Novak, Erich; Sickel, Winfried 2 2010 Optimal approximation of elliptic problems by linear and nonlinear mappings. III: Frames. Zbl 1129.65038Dahlke, Stephan; Novak, Erich; Sickel, Winfried 2 2007 Besov regularity of edge singularities for the Poisson equation in polyhedral domains. Zbl 1071.65172Dahlke, Stephan 2 2002 Convergent adaptive wavelet methods for the Stokes problem. Zbl 0998.76067Dahlke, Stephan; Hochmuth, Reinhard; Urban, Karsten 2 2000 Besov regularity for the Stokes problem. Zbl 0947.35107Dahlke, Stephan 2 1999 Besov regularity for interface problems. Zbl 0928.35025Dahlke, S. 2 1999 Generalized cardinal B-splines: Stability, linear independence, and appropriate scaling matrices. Zbl 0868.41008Dahlke, S.; Latour, V.; Neeb, M. 2 1997 A note on the linear independence of characteristic functions of self-similar sets. Zbl 0854.28002Dahlke, Stephan; Latour, Vera 2 1996 Besov regularity of parabolic and hyperbolic PDEs. Zbl 1420.35055Dahlke, Stephan; Schneider, Cornelia 1 2019 Quarkonial frames with compression properties. Zbl 1383.46025Dahlke, 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 1337.60160Cioica, 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 1344.94019Dahlke, Stephan; De Mari, Filippo; Grohs, Philipp; Labate, Demetrio 1 2015 Adaptive wavelet methods for SPDEs. Zbl 1317.60084Cioica, 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 1317.65233Chegini, Nabi G.; Dahlke, Stephan; Friedrich, Ulrich; Stevenson, Rob 1 2014 A model for ‘antagonistic’ protein dynamics. Zbl 1306.92019Rashkov, 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 1273.41009Dahlke, Stephan; Oswald, Peter; Raasch, Thorsten 1 2013 A model of oscillatory protein dynamics in bacteria. Zbl 1254.92029Rashkov, Peter; Schmitt, Bernhard A.; Søgaard-Andersen, Lotte; Lenz, Peter; Dahlke, Stephan 1 2012 Multilevel preconditioning and adaptive sparse solution of inverse problems. Zbl 1239.65037Dahlke, Stephan; Fornasier, Massimo; Raasch, Thorsten 1 2012 Adaptive wavelet methods and sparsity reconstruction for inverse heat conduction problems. Zbl 1207.65114Bonesky, Thomas; Dahlke, Stephan; Maass, Peter; Raasch, Thorsten 1 2010 A note on interpolating scaling functions. Zbl 1085.41500Dahlke, Stephan; Maass, Peter 1 2003 Reconstruction of wideband reflectivity densities by wavelet transforms. Zbl 1020.42024Dahlke, Stephan; Maass, Peter; Teschke, Gerd 1 2003 Invariant manifolds for products of random diffeomorphisms. Zbl 0886.58058Dahlke, Stephan 1 1997 Multiresolution analysis, Haar bases and wavelets on Riemannian manifolds. Zbl 0879.42025Dahlke, Stephan 1 1994 A note on generalized Weyl-Heisenberg frames. Zbl 0875.42004Dahlke, S. 1 1994 Besov regularity of parabolic and hyperbolic PDEs. Zbl 1420.35055Dahlke, Stephan; Schneider, Cornelia 1 2019 Adaptive wavelet BEM for boundary integral equations: theory and numerical experiments. Zbl 1388.31008Dahlke, S.; Harbrecht, H.; Utzinger, M.; Weimar, Markus 3 2018 Coorbit spaces with voice in a Fréchet space. Zbl 1375.43001Dahlke, 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 1373.42037Speckbacher, 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 1392.42031Alberti, Giovanni S.; Dahlke, Stephan; De Mari, Filippo; De Vito, Ernesto; Führ, Hartmut 2 2017 Quarkonial frames with compression properties. Zbl 1383.46025Dahlke, Stephan; Keding, Philipp; Raasch, Thorsten 1 2017 Besov regularity of solutions to the \(p\)-Poisson equation. Zbl 1330.35189Dahlke, Stephan; Diening, Lars; Hartmann, Christoph; Scharf, Benjamin; Weimar, Markus 8 2016 Different faces of the shearlet group. Zbl 1344.42027Dahlke, 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 1337.60160Cioica, 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 1400.46026Dahlke, Stephan; Weimar, Markus 3 2015 Harmonic and applied analysis. From groups to signals. Zbl 1329.42001Dahlke, Stephan (ed.); De Mari, Filippo (ed.); Grohs, Philipp (ed.); Labate, Demetrio (ed.) 2 2015 From group representations to signal analysis. Zbl 1344.94019Dahlke, Stephan; De Mari, Filippo; Grohs, Philipp; Labate, Demetrio 1 2015 Convergence analysis of spatially adaptive Rothe methods. Zbl 1309.65107Cioica, 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 1317.60084Cioica, 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 1317.65233Chegini, Nabi G.; Dahlke, Stephan; Friedrich, Ulrich; Stevenson, Rob 1 2014 Shearlet coorbit spaces: traces and embeddings in higher dimensions. Zbl 1260.22004Dahlke, Stephan; Häuser, Sören; Steidl, Gabriele; Teschke, Gerd 12 2013 On Besov regularity of solutions to nonlinear elliptic partial differential equations. Zbl 1275.41021Dahlke, Stephan; Sickel, Winfried 6 2013 Piecewise tensor product wavelet bases by extensions and approximation rates. Zbl 1277.65093Chegini, Nabi; Dahlke, Stephan; Friedrich, Ulrich; Stevenson, Rob 3 2013 A model for ‘antagonistic’ protein dynamics. Zbl 1306.92019Rashkov, 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 1273.41009Dahlke, Stephan; Oswald, Peter; Raasch, Thorsten 1 2013 Multivariate shearlet transform, shearlet coorbit spaces and their structural properties. Zbl 1247.42025Dahlke, Stephan; Steidl, Gabriele; Teschke, Gerd 13 2012 Spatial Besov regularity for semilinear stochastic partial differential equations on bounded Lipschitz domains. Zbl 1411.60093Cioica, Petru A.; Dahlke, Stephan 10 2012 Coorbit space theory for the Toeplitz shearlet transform. Zbl 1252.42031Dahlke, Stephan; Häuser, Sören; Teschke, Gerd 8 2012 Adaptive wavelet methods for the stochastic Poisson equation. Zbl 1260.65003Cioica, 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 1254.92029Rashkov, Peter; Schmitt, Bernhard A.; Søgaard-Andersen, Lotte; Lenz, Peter; Dahlke, Stephan 1 2012 Multilevel preconditioning and adaptive sparse solution of inverse problems. Zbl 1239.65037Dahlke, Stephan; Fornasier, Massimo; Raasch, Thorsten 1 2012 Shearlet coorbit spaces: Compactly supported analyzing shearlets, traces and embeddings. Zbl 1243.46023Dahlke, Stephan; Steidl, Gabriele; Teschke, Gerd 26 2011 Spatial Besov regularity for stochastic partial differential equations on Lipschitz domains. Zbl 1250.60026Cioica, 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 1194.42038Dahlke, Stephan; Steidl, Gabriele; Teschke, Gerd 47 2010 Optimal adaptive computations in the Jaffard algebra and localized frames. Zbl 1184.42029Dahlke, 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 1184.65056Dahlke, Stephan; Novak, Erich; Sickel, Winfried 2 2010 Adaptive wavelet methods and sparsity reconstruction for inverse heat conduction problems. Zbl 1207.65114Bonesky, Thomas; Dahlke, Stephan; Maass, Peter; Raasch, Thorsten 1 2010 Shearlet coorbit spaces and associated Banach frames. Zbl 1171.42019Dahlke, Stephan; Kutyniok, Gitta; Steidl, Gabriele; Teschke, Gerd 62 2009 Nonlinear and adaptive frame approximation schemes for elliptic PDEs: theory and numerical experiments. Zbl 1181.65137Dahlke, Stephan; Fornasier, Massimo; Primbs, Miriam; Raasch, Thorsten; Werner, Manuel 10 2009 Besov regularity for the Poisson equation in smooth and polyhedral cones. Zbl 1169.35018Dahlke, Stephan; Sickel, Winfried 4 2009 The uncertainty principle associated with the continuous Shearlet transform. Zbl 1257.42047Dahlke, 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 1215.42035Dahlke, 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 1184.94195Dahlke, Stephan; Teschke, Gerd; Stingl, Krunoslav 5 2008 The canonical coherent states associated with quotients of the affine Weyl-Heisenberg group. Zbl 1165.22007Dahlke, Stephan; Lorenz, Dirk A.; Maass, Peter; Sagiv, Chen; Teschke, Gerd 4 2008 Adaptive frame methods for elliptic operator equations. Zbl 1122.65103Dahlke, Stephan; Fornasier, Massimo; Raasch, Thorsten 37 2007 Adaptive frame methods for elliptic operator equations: The steepest descent approach. Zbl 1153.65050Dahlke, 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 1141.42019Dahlke, Stephan; Steidl, Gabriele; Teschke, Gerd 7 2007 Optimal approximation of elliptic problems by linear and nonlinear mappings. III: Frames. Zbl 1129.65038Dahlke, Stephan; Novak, Erich; Sickel, Winfried 2 2007 Optimal approximation of elliptic problems by linear and nonlinear mappings. II. Zbl 1102.65061Dahlke, Stephan; Novak, Erich; Sickel, Winfried 21 2006 Optimal approximation of elliptic problems by linear and nonlinear mappings. I. Zbl 1092.65044Dahlke, Stephan; Novak, Erich; Sickel, Winfried 14 2006 Adaptive application of operators in standard representation. Zbl 1101.65111Barinka, Arne; Dahlke, Stephan; Dahmen, Wolfgang 5 2006 Coorbit spaces and Banach frames on homogeneous spaces with applications to the sphere. Zbl 1113.42023Dahlke, Stephan; Steidl, Gabriele; Teschke, Gerd 18 2004 Weighted coorbit spaces and Banach frames on homogeneous spaces. Zbl 1098.42025Dahlke, Stephan; Steidl, Gabriele; Teschke, Gerd 13 2004 Interpolating scaling functions with duals. Zbl 1087.42024Dahlke, Stephan; Maass, Peter; Teschke, Gerd 4 2004 An outline of adaptive wavelet Galerkin methods for Tikhonov regularization of inverse parabolic problems. Zbl 1037.65055Dahlke, Stephan; Maaß, Peter 3 2003 A note on interpolating scaling functions. Zbl 1085.41500Dahlke, Stephan; Maass, Peter 1 2003 Reconstruction of wideband reflectivity densities by wavelet transforms. Zbl 1020.42024Dahlke, Stephan; Maass, Peter; Teschke, Gerd 1 2003 Adaptive wavelet methods for saddle point problems – optimal convergence rates. Zbl 1024.65101Dahlke, Stephan; Dahmen, Wolfgang; Urban, Karsten 25 2002 Quadrature formulas for refinable functions and wavelets. II: Error analysis. Zbl 1031.65036Barinka, Arne; Barsch, Titus; Dahlke, Stephan; Mommer, Mario; Konik, Michael 6 2002 Besov regularity of edge singularities for the Poisson equation in polyhedral domains. Zbl 1071.65172Dahlke, Stephan 2 2002 Adaptive wavelet schemes for elliptic problems–implementation and numerical experiments. Zbl 1016.65090Barinka, 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 0992.65012Barinka, A.; Barsch, T.; Dahlke, S.; Konik, M. 10 2001 Adaptive wavelet methods for saddle point problems. Zbl 0965.65074Dahlke, Stephan; Hochmuth, Reinhard; Urban, Karsten 7 2000 Convergent adaptive wavelet methods for the Stokes problem. Zbl 0998.76067Dahlke, Stephan; Hochmuth, Reinhard; Urban, Karsten 2 2000 Besov regularity for elliptic boundary value problems in polygonal domains. Zbl 0940.35064Dahlke, S. 22 1999 A new approach to interpolating scaling functions. Zbl 1016.41006Dahlke, Stephan; Gröchenig, Karlheinz; Maass, Peter 9 1999 Besov regularity for the Stokes problem. Zbl 0947.35107Dahlke, Stephan 2 1999 Besov regularity for interface problems. Zbl 0928.35025Dahlke, S. 2 1999 Besov regularity for second order elliptic boundary value problems with variable coefficients. Zbl 0895.35017Dahlke, Stephan 5 1998 Besov regularity for elliptic boundary value problems. Zbl 0883.35018Dahlke, Stephan; DeVore, Ronald A. 43 1997 Stable multiscale bases and local error estimation for elliptic problems. Zbl 0872.65098Dahlke, Stephan; Dahmen, Wolfgang; Hochmuth, Reinhard; Schneider, Reinhold 35 1997 Interpolating refinable functions and wavelets for general scaling matrices. Zbl 0895.42017Dahlke, Stephan; Maass, Peter 8 1997 Biorthogonal box spline wavelet bases. Zbl 0946.65149Dahlke, Stephan; Gröchenig, Karlheinz; Latour, Vera 3 1997 Generalized cardinal B-splines: Stability, linear independence, and appropriate scaling matrices. Zbl 0868.41008Dahlke, S.; Latour, V.; Neeb, M. 2 1997 Invariant manifolds for products of random diffeomorphisms. Zbl 0886.58058Dahlke, Stephan 1 1997 Continuous wavelet transforms with applications to analyzing functions on spheres. Zbl 0902.42017Dahlke, Stephan; Maass, Peter 5 1996 A note on the linear independence of characteristic functions of self-similar sets. Zbl 0854.28002Dahlke, Stephan; Latour, Vera 2 1996 Multiresolution analysis and wavelets on \(S^ 2\) and \(S^ 3\). Zbl 0849.42020Dahlke, Stephan; Dahmen, Wolfgang; Weinreich, Ilona; Schmitt, Eberhard 21 1995 The affine uncertainty principle in one and two dimensions. Zbl 0843.42019Dahlke, S.; Maass, P. 16 1995 Smooth refinable functions and wavelets obtained by convolution products. Zbl 0810.42020Dahlke, Stephan; Dahmen, Wolfgang; Latour, Vera 14 1995 Multiresolution analysis and wavelets on locally compact Abelian groups. Zbl 0834.43004Dahlke, Stephan 18 1994 Wavelet bases adapted to pseudodifferential operators. Zbl 0806.65112Dahlke, Stephan; Weinreich, Ilona 5 1994 Biorthogonal wavelets and multigrid. Zbl 0809.65085Dahlke, Stephan; Kunoth, Angela 3 1994 Multiresolution analysis, Haar bases and wavelets on Riemannian manifolds. Zbl 0879.42025Dahlke, Stephan 1 1994 A note on generalized Weyl-Heisenberg frames. Zbl 0875.42004Dahlke, S. 1 1994 Wavelet-Galerkin methods: An adapted biorthogonal wavelet basis. Zbl 0777.34015Dahlke, Stephan; Weinreich, Ilona 14 1993 Invariante Mannigfaltigkeiten für Produkte zufälliger Diffeomorphismen. (Invariant manifolds for products of random diffeomorphisms). Zbl 0696.58028Dahlke, Stephan 3 1989 all cited Publications top 5 cited Publications 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 Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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