SMS scnews item created by Daniel Daners at Wed 28 May 2014 1729
Type: Seminar
Distribution: World
Expiry: 4 Jun 2014
Calendar1: 4 Jun 2014 1100-1200
CalLoc1: AGR Carslaw 829
Auth: daners@como.maths.usyd.edu.au

# Bochner-Riesz profile of anharmonic oscillator

### Sikora

We investigate spectral multipliers, Bochner-Riesz means and the convergence of eigenfunction expansion corresponding to the Schrödinger operator with anharmonic potential $L=-\frac{{d}^{2}}{d{x}^{2}}+|x|$. We show that the Bochner-Riesz profile of this operator completely coincides with the profile of the harmonic oscillator $H=-\frac{{d}^{2}}{d{x}^{2}}+{x}^{2}$.