M. Goldberg

activity

20032023

most citedSchrödinger dispersive estimates for a scaling-critical class of potentials

52 citations · 427 across the 30 of their papers we have counts for

collaborators

Showing 2022Show all

2 papers · 1 filter

math.AP2022

Spectral multipliers and wave propagation for Hamiltonians with a scalar potential

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 $- Δ + V$ , where $V$ i…

math.AP2022★ 11 cited

Counterexamples to $L^{p}$ boundedness of wave operators for classical and higher order Schrödinger operators

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

We consider the higher order Schrödinger operator $H = (- Δ)^{m} + V (x)$ in $n$ dimensions with real-valued potential $V$ when $n > 4 m - 1$ , $m \in N$ . We show that for any $\frac{2n}{…

Spectral multipliers and wave propagation for Hamiltonians with a scalar potential

Counterexamples to Lp boundedness of wave operators for classical and higher order Schrödinger operators

Counterexamples to $L^{p}$ boundedness of wave operators for classical and higher order Schrödinger operators