@article{DahlkeFornasierRauhutetal.2005, author = {Dahlke, S. and Fornasier, M. and Rauhut, H. and Steidl, G. and Teschke, G.}, title = {Generalized Coorbit Theory, Banach Frames, and the Relations to α-Modulation Spaces}, journal = {under review}, year = {2005}, language = {en} } @article{DahlkeKutyniokSteidletal.2007, author = {Dahlke, S. and Kutyniok, Gitta and Steidl, G. and Teschke, G.}, title = {Shearlet coorbit spaces and associated Banach frames}, journal = {Bericht Nr. 2007-5, Philipps-Universit{\"a}t Marburg}, year = {2007}, language = {en} } @article{DahlkeSteidlTeschke2004, author = {Dahlke, S. and Steidl, G. and Teschke, G.}, title = {Coorbit Spaces and Banach Frames on Homogeneous Spaces with Applications to Analyzing Functions on Spheres}, volume = {1-2}, journal = {Adv. Comput.Math.}, number = {21}, pages = {147 -- 180}, year = {2004}, language = {en} } @article{DahlkeSteidlTeschke2004, author = {Dahlke, S. and Steidl, G. and Teschke, G.}, title = {Weighted Coorbit Spaces and Banach Frames on Homogeneous Spaces}, volume = {5}, journal = {Journal of Fourier Analysis and Applications}, number = {10}, pages = {507 -- 539}, year = {2004}, language = {en} } @article{DahlkeSteidlTeschke2007, author = {Dahlke, S. and Steidl, G. and Teschke, G.}, title = {Frames and Coorbit Theory on Homogeneous Spaces with a Special Guidance on the Sphere}, journal = {Special Issue}, year = {2007}, language = {en} } @article{DahlkeKutyniokMaassetal.2006, author = {Dahlke, S. and Kutyniok, Gitta and Maass, Peter and Sagiv, C. and Stark, H.-G. and Teschke, G.}, title = {The Uncertainty Principle Associated with the Continuous Shearlet Transform}, journal = {to appear}, year = {2006}, language = {en} } @article{Teschke2005, author = {Teschke, G.}, title = {Multi-Frames in Thresholding Iterations for Nonlinear Operator Equations with Mixed Sparsity Constraints}, journal = {DFG-SPP-1114 preprint 131}, year = {2005}, language = {en} } @article{Teschke2007, author = {Teschke, G.}, title = {Multi-Frame Representations in Linear InverseProblems with Mixed Multi-Constraints}, volume = {22}, journal = {Applied and Computational Harmonic Analysis}, pages = {43 -- 60}, year = {2007}, language = {en} } @article{Teschke2001, author = {Teschke, G.}, title = {Waveletkonstruktion {\"u}ber Unsch{\"a}rferelationen und Anwendungen in der Signalanalyse}, journal = {PhD thesis, Bremen}, year = {2001}, language = {en} } @article{JustenTeschkeLehmann2004, author = {Justen, L. and Teschke, G. and Lehmann, V.}, title = {Wavelet-based methods for clutter removal from radar wind profiler data}, journal = {Proc. SPIE Vol. 5266, p. 157-168, Wavelet Applications in Industrial Processing; Frederic Truchetet; Ed.}, year = {2004}, language = {en} } @misc{Teschke1998, author = {Teschke, G.}, title = {Komplexwertige Wavelets und Phaseninformation, Anwendungen in der Signalverarbeitung}, publisher = {Universit{\"a}t Potsdam}, address = {Potsdam}, year = {1998}, language = {en} } @article{FaustinoKaehlerTeschke2006, author = {Faustino, Nelson and Kaehler, U. and Teschke, G.}, title = {A Wavelet Galerkin Scheme for the Navier Stokes Equations}, journal = {under review}, year = {2006}, language = {en} } @article{Teschke2005, author = {Teschke, G.}, title = {Construction of Generalized Uncertainty Principles and Wavelets in Bessel Potential Spaces}, volume = {3}, journal = {International Journal of Wavelets, Multiresolution and Information Processing}, number = {2}, pages = {189 -- 209}, year = {2005}, language = {en} } @article{Teschke2005, author = {Teschke, G.}, title = {Operator Equations, Mixed Constraints, Frame Based Iterative Concepts and Application}, journal = {Habilitation thesis, Bremen}, year = {2005}, language = {en} } @inproceedings{MaassEndeKayseretal.2001, author = {Maass, Peter and Ende, M. and Kayser, D. and Osten, W. and Teschke, G.}, title = {Continuous Wavelet Methods in Signal Processing}, booktitle = {Invited paper in}, editor = {Osten, W.}, publisher = {Elsevier Verlag, ISBN: 2-84299-318-7}, address = {Paris}, year = {2001}, language = {en} } @article{RaetschRomdhaniTeschkeetal.2005, author = {R{\"a}tsch, M. and Romdhani, S. and Teschke, G. and Vetter, T.}, title = {Overcomplete Wavelet Approximation of a Support Vector Machine for Efficient Classification}, journal = {Springer Lecture Notes in Computer Science}, pages = {351ff}, year = {2005}, language = {en} } @article{HolschneiderTeschke2006, author = {Holschneider, M. and Teschke, G.}, title = {Existence and Computation of Optimally Localized Coherent States}, volume = {47}, journal = {Journal of Mathematical Physics}, pages = {123503}, year = {2006}, language = {en} } @article{MuschinskiLehmannJustenetal.2005, author = {Muschinski, A. and Lehmann, V. and Justen, L. and Teschke, G.}, title = {Advanced Radar Wind Profiling}, volume = {5}, journal = {Meteorologische Zeitschrift}, number = {14}, pages = {609 -- 626}, year = {2005}, language = {en} } @article{SoaresTeschkeZhariy2004, author = {Soares, M. and Teschke, G. and Zhariy, M.}, title = {A Wavelet Regularization for Nonlinear Diffusion Equations}, journal = {Technical Report 04-12, ISSN 1435-7968}, year = {2004}, language = {en} } @article{SoaresTeschkeZhariy2007, author = {Soares, M. and Teschke, G. and Zhariy, M.}, title = {A Regularization for Nonlinear Diffusion Equations in a Multiresolution Framework}, journal = {Mathematical Methods in Applied Sciences}, year = {2007}, language = {en} } @article{TeschkeZhariyMaassetal.2002, author = {Teschke, G. and Zhariy, M. and Maass, Peter and Sassen, K.}, title = {Extraction and Analysis of Structural Features in Cloud Radar and Lidar Data Using Wavelet Based Methods}, journal = {Proceedings of ERAD}, year = {2002}, language = {en} } @article{RaetschRomdhaniTeschkeetal.2006, author = {R{\"a}tsch, M. and Romdhani, S. and Teschke, G. and Vetter, T.}, title = {Wavelet Frame Accelerated Reduced Support Vector Machine}, journal = {to appaer in:}, year = {2006}, language = {en} } @article{RamlauTeschke2004, author = {Ramlau, R. and Teschke, G.}, title = {Regularization of Sobolev Embedding Operators and Applications Part I}, volume = {3}, journal = {Sampling Theory in Signal and Image Processing}, number = {2}, pages = {175 -- 196}, year = {2004}, language = {en} } @article{RamlauTeschke2004, author = {Ramlau, R. and Teschke, G.}, title = {Regularization of Sobolev Embedding Operators and Applications Part II}, volume = {3}, journal = {Sampling Theory in Signal and Image Processing}, number = {3}, pages = {225 -- 246}, year = {2004}, language = {en} } @article{RamlauTeschke2005, author = {Ramlau, R. and Teschke, G.}, title = {Tikhonov Replacement Functionals for Iteratively Solving Nonlinear Operator Equations}, volume = {21}, journal = {InverseProblems}, pages = {1571 -- 1592}, year = {2005}, language = {en} } @article{RamlauTeschke2006, author = {Ramlau, R. and Teschke, G.}, title = {A Projection Iteration for Nonlinear Operator Equations with Sparsity Constraints}, volume = {104}, journal = {Numerische Mathematik}, pages = {177 -- 203}, year = {2006}, language = {en} } @article{TeschkeGoersdorfKoerneretal.2006, author = {Teschke, G. and G{\"o}rsdorf, U. and K{\"o}rner, P. and Trede, D.}, title = {A New Approach for Target Classification in Ka-Band Radar Data}, journal = {Proc. ERAD Barcelona}, year = {2006}, language = {en} } @article{LehmannTeschke2001, author = {Lehmann, V. and Teschke, G.}, title = {Wavelet based methods for improved wind profiler signal processing}, journal = {Annales Geophysicae}, number = {19}, pages = {825 -- 836}, year = {2001}, language = {en} } @article{LehmannTeschke2007, author = {Lehmann, V. and Teschke, G.}, title = {Advanced Intermittent Clutter Filtering for Radar Wind Profiler}, journal = {under review}, year = {2007}, language = {en} } @article{LehmannTeschke2006, author = {Lehmann, V. and Teschke, G.}, title = {A new intermittent clutter filtering algorithm for radar wind profiler}, journal = {Proc. ISTP Boulder}, year = {2006}, language = {en} } @article{TeschkeRamlau2007, author = {Teschke, G. and Ramlau, R.}, title = {An Iterative Algorithm for Nonlinear InverseProblems with Joint Sparsity Constraints in Vector Valued Regimes and an Application to Color Image Inpainting}, journal = {under review}, year = {2007}, language = {en} } @article{Teschke2006, author = {Teschke, G.}, title = {A new frame-based statistical strategy for bird migration clutter removal in wind profiler radar data}, journal = {preprint}, year = {2006}, language = {en} } @article{Teschke2006, author = {Teschke, G.}, title = {Frames, Sparsity, and Nonlinear InverseProblems}, journal = {Oberwolfach Reports}, year = {2006}, language = {en} } @article{DahlkeLehmannTeschke2003, author = {Dahlke, S. and Lehmann, V. and Teschke, G.}, title = {Applications of Wavelet Methods to the Analysis of Meteorological Radar Data - An Overview}, volume = {28}, journal = {(invited paper) Arabian Journal of Science and Engineering}, number = {1C}, pages = {3 -- 44}, year = {2003}, language = {en} } @article{DahlkeMaassTeschke2007, author = {Dahlke, S. and Maass, Peter and Teschke, G.}, title = {Reconstruction of Reflectivity Densities by Wavelet Transforms}, journal = {Technical Report 01-10, ISSN 1435-7968}, year = {2007}, language = {en} } @article{DahlkeMaassTeschke2003, author = {Dahlke, S. and Maass, Peter and Teschke, G.}, title = {Reconstruction of Wideband Reflectivity Densities by Wavelet Transforms}, volume = {2-4}, journal = {Advances in Computational Mathematics}, number = {18}, pages = {189 -- 209}, year = {2003}, language = {en} } @article{DahlkeMaassTeschke2004, author = {Dahlke, S. and Maass, Peter and Teschke, G.}, title = {Interpolating Scaling Functions with Duals}, volume = {1}, journal = {Journal of Computational Analysis and Applications}, number = {6}, pages = {19 -- 29}, year = {2004}, language = {en} } @article{DahlkeMaassTeschke2004, author = {Dahlke, S. and Maass, Peter and Teschke, G.}, title = {Reconstruction of Reflectivity Densities in a Narrowband Regime}, volume = {52}, journal = {IEEE Transactions on Antennas and Propagation}, number = {6}, pages = {1603 -- 1606}, year = {2004}, language = {en} } @article{BrediesLorenzMaassetal.2004, author = {Bredies, Kristian and Lorenz, Dirk A. and Maass, Peter and Teschke, G.}, title = {A partial differential equation for continuous non-linear shrinkage filtering and its application for analyzing MMG data}, journal = {Proc. SPIE Vol. 5266, p. 84-93, Wavelet Applications in Industrial Processing; Frederic Truchetet; Ed.}, year = {2004}, language = {en} } @article{CerejeirasDahlkeSoaresetal.2004, author = {Cerejeiras, P. and Dahlke, S. and Soares, M. and Kaehler, U. and Lindemann, M. and Teschke, G. and Zhariy, M.}, title = {A Wavelet Based Numerical Method for Nonlinear Elliptic Partial Differential Equations}, journal = {IKM Proceedings}, year = {2004}, language = {en} } @article{CerejeirasDahlkeSoaresetal.2004, author = {Cerejeiras, P. and Dahlke, S. and Soares, M. and Kaehler, U. and Lindemann, M. and Teschke, G. and Zhariy, M.}, title = {A Wavelet-Galerkin Scheme for Nonlinear Elliptic Partial Differential Equations}, journal = {in preparation}, year = {2004}, language = {en} } @article{DahlkeLorenzMaassetal.2007, author = {Dahlke, S. and Lorenz, Dirk A. and Maass, Peter and Sagiv, C. and Teschke, G.}, title = {The Canonical Coherent states associated with Quotients of the Affine Weyl-Heisenberg Group}, journal = {to appear}, year = {2007}, language = {en} } @article{DaubechiesTeschkeVese2007, author = {Daubechies, I. and Teschke, G. and Vese, Luminita}, title = {Iteratively solving linear inverse problems with general convex constraints}, volume = {1}, journal = {InverseProblems and Imaging}, number = {1}, pages = {29 -- 46}, year = {2007}, language = {en} } @article{DaubechiesTeschke2004, author = {Daubechies, I. and Teschke, G.}, title = {Wavelet-based image decomposition by variational functionals}, journal = {Proc. SPIE Vol. 5266, p. 94-105, Wavelet Applications in Industrial Processing; Frederic Truchetet; Ed.}, year = {2004}, language = {en} } @article{DaubechiesTeschke2005, author = {Daubechies, I. and Teschke, G.}, title = {Variational image restoration by means of wavelets}, volume = {19}, journal = {Applied and Computational Harmonic Analysis}, number = {1}, pages = {1 -- 16}, year = {2005}, language = {en} }