| Date | Speaker | Title |
|---|---|---|
| Tue, Sep 18 4 pm, VV B139 |
Liwei Jiang | On the general translates of general dyadic system on R |
| Sep 19 | Lingxiao Zhang | Transference principle for Fourier multipliers |
| Tue, Sep 25 | Ziming Shi | Second-order elliptic equations with parameter |
| Sep 26 | Liwei Jiang | Real variable proof of the Stein-Tomas theorem |
| Oct 3, Oct 10 | Zhixuan Zhang | Constructions of Salem measures |
| Oct 17, Oct 24 | Edwin Baeza | Necessary and sufficient conditions for radial Fourier multipliers |
| Tue, Oct 30 (4 pm, B139), Oct 31 |
Rajula Srivastava | Guth's short proof for multilinear Kakeya |
| Nov 7 (5 pm) | Ben Bruce | Multilinear Kakeya implies multilinear adjoint restriction, Part I |
| Nov 14 | Jeremy Schwend | Multilinear Kakeya implies multilinear adjoint restriction, Part II |
| Tue, Nov 20 | Geoff Bentsen | The cone multiplier in R3, Part I |
| Nov 28 | Changkeun Oh | The cone multiplier in R3, Part II |
| Dec 4 | Michel Alexis | Endpoint estimates for Bochner-Riesz multipliers, Part I |
| tba. | Bingyang Hu | Endpoint estimates for Bochner-Riesz multipliers, Part II |
Abstract: Many techniques in harmonic analysis use the fact that a continuous object can be written as a sum (or an intersection) of dyadic counterparts, as long as those counterparts belong to a distinct dyadic system. Here we generalize the notion of distinct dyadic system and explore when it occurs, leading to some new and perhaps surprising classifications. This work is a joint work with Tess Anderson, Bingyang Hu, Connor Olson and Zeyu Wei.
Ziming Shi: Second-order elliptic equations with parameterAbstract: We consider second-order elliptic equations with variable coefficients and right-hand side on a family of domains, satisfying some variable oblique-derivative type boundary conditions. We shall show that if all these depend "smoothly" on some parameter in a compact set, then the solution also depends on the parameter "smoothly". We follow I.N.Vekua's approach of reducing the problem to a complex analytic one, and introduce the notion of "generalized analytic function". Our result is a generalization of Bertrand and Gong's earlier work on the same problem, formulated for the Laplacian equation with Dirichlet and Neumann boundary conditions.