Spectral multiplier theorems for abstract harmonic oscillators on UMD lattices
Spectral multiplier theorems for abstract harmonic oscillators on UMD lattices
We consider operators acting on a UMD Banach lattice X that have the same algebraic structure as the position and momentum operators associated with the harmonic oscillator -1 2Δ+1 2|x| 2 acting on L 2 (ℝ d ). More precisely, we consider abstract harmonic oscillators of the form 1 2∑ …