Khalid Koufany, Université de Lorraine, Nancy: A characterization of the $L^2$-range of the generalized spectral projections related to the Hodge-de Rham Laplacian
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- Date:Starts 27 August 2024, 13:15Ends 27 August 2024, 14:15
- Location:MV:F23, Skeppsgränd 3
- Language:English
Abstract: We establish a characterization of the $L^2$-range of generalized spectral projections on the bundle of differential forms over the real hyperbolic space $H^n(\mathbb R)$. As an intermediate result, we obtain a characterization of the $L^2$-range of the Poisson transform on the bundle of differential forms on the boundary $\partial H^n(\mathbb R)$. This results confirm a conjecture by Strichartz regarding differential forms. (joint work with A. Boussejra).
Jakob Björnberg
- Head of Unit, Analysis and Probability Theory, Mathematical Sciences