Mass-critical inverse Strichartz theorems for 1d Schrodinger operators

We prove inverse Strichartz theorems at L-2 regularity for a family of Schrodinger evolutions in one space dimension. Prior results rely on spacetime Fourier analysis and are limited to the translation-invariant equation i partial derivative(t)u = -1/2 Delta u. Motivated by applications to the mass-critical Schrodinger equation with external potentials (such as the harmonic oscillator), we use a physical space approach.