We investigate spectral multipliers, Bochner-Riesz means and the convergence of eigenfunction expansion corresponding to the Schrödinger operator with anharmonic potential L=-d2dx2+|x|. We show that the Bochner-Riesz profile of this operator completely coincides with the profile of the harmonic oscillator H=-d2dx2+x2.
This is joint work with Peng Chen and Waldemar Hebisch