Bochner-Riesz profile of anharmonic oscillator

Adam Sikora
Macquarie University
Wed 4 June 2014 11:00-12:00, Carslaw Room 829 (AGR), note the unusual time and day

Abstract

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

Check also the PDE Seminar page. Enquiries to Daniel Hauer or Daniel Daners.