Marius Beceanu

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math.AP2025

Spectral multipliers III: Endpoint bounds, intertwining operators, and twisted Hardy spaces

Marius Beceanu, Michael Goldberg

We extend several fundamental estimates regarding spectral multipliers for the free Laplacian on $R^{3}$ to the case of perturbed Hamiltonians of the form $H = - I^ + V$ , where $V…

math.AP2025

Spectral Multipliers II: Elliptic and Parabolic Operators and Bochner-Riesz Means

Marius Beceanu, Michael Goldberg

We establish estimates for the Poisson kernel, the heat kernel, and Bochner--Riesz means defined in terms of $H = - I^ + V$ , where $V$ is a possibly large rough real-valued scalar poten…