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18. Harmonic analysis, orthogonal expansions and Dunkl theory |
17.09.2014 (Wednesday) |
| Time | Title | Lecturer |
| 14:30-15:20 | Inequalities for Riesz transforms on $\mathbb R^d$ | Adam Osękowski |
| 15:30-16:20 | Potential operators associated with Hankel-Dunkl and Laguerre-Dunkl epansions | Adam Nowak |
| 16:30-17:00 | Coffee | |
| 17:00-17:25 | Generalized Brownian processes, random matrices, $\alpha$-determinant and positive definite functions on Coxeter (permutation) groups | Marek Bożejko |
| 17:30-17:55 | Multiplicity free induction and orthogonal polynomials | Maarten van Pruijssen |
| 18:00-18:25 | Orthogonal and multiple orthogonal polynomials | Galina Filipuk |
18.09.2014 (Thursday) |
| Time | Title | Lecturer |
| 14:30-15:20 | An overview of Dunkl analysis | Jean-Philippe Anker |
| 15:30-16:20 | The Hardy space $H^1$ in the rational Dunkl setting | Jacek Dziubański |
| 16:30-17:00 | Coffee | |
| 17:00-17:25 | Hypoelliptic operators and sharp multiplier theorems | Alessio Martini |
| 17:30-17:55 | Dimension free $L^p$-estimates for Riesz transforms via an $H^\infty$ joint functional calculus | Błażej Wróbel |
| 18:00-18:25 | Riesz-Jacobi transforms as principal value integrals | Tomasz Szarek |
| 18:30-18:55 | On Sobolev and potential spaces related to Jacobi expansions | Bartosz Langowski |
19.09.2014 (Friday) |
| Time | Title | Lecturer |
| 14:30-15:20 | Convolution of orbital measures on symmetric spaces | Piotr Graczyk |
| 15:30-16:20 | Positive product formula and integral representations for some classes of special functions associated with root systems | Michael Voit |
| 16:30-17:00 | Coffee | |
| 17:00-17:25 | Heat kernels on affine buildings | Bartosz Trojan |
| 17:30-17:55 | Uncertainty principles in root systems | Troels Johansen |
| 18:00-18:25 | Multiplicative operator families on hypergroups, special functions and abstract Cauchy problems | Felix Früchtl |
| 18:30-18:55 | Some results on a subspace of $L^2(\mathbb R)$ spanned by shifts of a single function | Maciej Paluszyński |