M. Goldberg

collaborators

3 papers

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…

math.AP2025

Dispersive estimates for higher order SchrÃ¶dinger operators with scaling-critical potentials

M. Burak Erdogan, Michael Goldberg, William R. Green

We prove a family of dispersive estimates for the higher order SchrÃ¶dinger equation $i u_{t} = (- I^)^{m} u + V u$ for $m \in N$ with $m > 1$ and $2 m < n < 4 m$ . Here $V$ is a real-valued po…