CRM: Centro De Giorgi
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Inaugural Conference of the Fibonacci Laboratory

Para-product on Lie Groups and Riemannian Manifolds

speaker: Yannick Sire (John Hopkins University)

abstract: I will focus on para-products on particular Lie groups for which notions of Fourier transforms exist (H-type groups). I will define a Littlewood-Paley decomposition, Besov soon as I can I will generalize the results to groups with polynomial volume growth. On the other hand, I will introduce para-differential operators on Riemannian manifolds without using Fourier transform but harmonic analysis techniques and prove a para-linearisation theorem. I will apply it to the regularity of some PDE.

In collaboration within the ERC project GeMeThnES Grant Agreement n. 246923

Thu 8 Mar, 11:25 - 12:25, Sala Azzurra
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