| Hyperbolic cross approximation D Dũng, V Temlyakov, T Ullrich Springer, 2018 | 247* | 2018 |
| The Gelfand widths of ℓp-balls for 0< p≤ 1 S Foucart, A Pajor, H Rauhut, T Ullrich Journal of Complexity 26 (6), 629-640, 2010 | 137 | 2010 |
| Tensor products of Sobolev–Besov spaces and applications to approximation from the hyperbolic cross W Sickel, T Ullrich Journal of Approximation Theory 161 (2), 748-786, 2009 | 105 | 2009 |
| New characterizations of Besov-Triebel-Lizorkin-Hausdorff spaces including coorbits and wavelets Y Liang, Y Sawano, T Ullrich, D Yang, W Yuan Journal of Fourier Analysis and Applications 18 (5), 1067-1111, 2012 | 104 | 2012 |
| A new framework for generalized Besov-type and Triebel-Lizorkin-type spaces Y Liang, D Yang, W Yuan, Y Sawano, T Ullrich arXiv preprint arXiv:1205.2963, 2012 | 95 | 2012 |
| Continuous characterizations of Besov-Lizorkin-Triebel spaces and new interpretations as coorbits T Ullrich Journal of Function Spaces and Applications 2012, 2012 | 82 | 2012 |
| Smolyak's algorithm, sampling on sparse grids and function spaces of dominating mixed smoothness W Sickel, T Ullrich Univ., 2006 | 82 | 2006 |
| Generalized coorbit space theory and inhomogeneous function spaces of Besov–Lizorkin–Triebel type H Rauhut, T Ullrich Journal of Functional Analysis 260 (11), 3299-3362, 2011 | 79 | 2011 |
| Approximation of Mixed Order Sobolev Functions on the d-Torus: Asymptotics, Preasymptotics, and d-Dependence T Kühn, W Sickel, T Ullrich Constructive Approximation 42, 353-398, 2015 | 64 | 2015 |
| On an extreme class of real interpolation spaces F Cobos, LM Fernández-Cabrera, T Kühn, T Ullrich Journal of Functional Analysis 256 (7), 2321-2366, 2009 | 64 | 2009 |
| Spline interpolation on sparse grids W Sickel, T Ullrich Applicable Analysis 90 (3-4), 337-383, 2011 | 54 | 2011 |
| The role of Frolov's cubature formula for functions with bounded mixed derivative M Ullrich, T Ullrich SIAM Journal on Numerical Analysis 54 (2), 969-993, 2016 | 45 | 2016 |
| Approximation numbers of Sobolev embeddings—sharp constants and tractability T Kühn, W Sickel, T Ullrich Journal of Complexity 30 (2), 95-116, 2014 | 44 | 2014 |
| Smolyak's algorithm, sampling on sparse grids and Sobolev spaces of dominating mixed smoothness T Ullrich EAST JOURNAL OF APPROXIMATIONS 14 (1), 1, 2008 | 44 | 2008 |
| N-Widths and ε-Dimensions for High-Dimensional Approximations D Dũng, T Ullrich Foundations of Computational Mathematics 13, 965-1003, 2013 | 42 | 2013 |
| Function Spaces with Dominating Mixed Smoothness Characterization by Differences T Ullrich Univ., 2006 | 40 | 2006 |
| Worst-case recovery guarantees for least squares approximation using random samples L Kämmerer, T Ullrich, T Volkmer Constructive Approximation 54 (2), 295-352, 2021 | 38 | 2021 |
| Lower bounds for the integration error for multivariate functions with mixed smoothness and optimal Fibonacci cubature for functions on the square D Dũng, T Ullrich Mathematische Nachrichten 288 (7), 743-762, 2015 | 38 | 2015 |
| Tight error bounds for rank-1 lattice sampling in spaces of hybrid mixed smoothness G Byrenheid, L Kämmerer, T Ullrich, T Volkmer Numerische Mathematik 136, 993-1034, 2017 | 37 | 2017 |
| Counting via entropy: new preasymptotics for the approximation numbers of Sobolev embeddings T Kühn, S Mayer, T Ullrich SIAM Journal on Numerical Analysis 54 (6), 3625-3647, 2016 | 37 | 2016 |
Vladimir TemlyakovUniversity of South CarolinaVerified email at math.sc.edu
