Imaginary Powers of the Dunkl Harmonic Oscillator ⋆ (2008)
by
Adam Nowak
,
Krzysztof Stempak
BibTeX
@MISC{Nowak08imaginarypowers,
author = {Adam Nowak and Krzysztof Stempak},
title = {Imaginary Powers of the Dunkl Harmonic Oscillator ⋆},
year = {2008}
}
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Abstract
doi:10.3842/SIGMA.2009.016 Abstract. In this paper we continue the study of spectral properties of the Dunkl harmonic oscillator in the context of a finite reflection group on R d isomorphic to Z d 2. We prove that imaginary powers of this operator are bounded on L p, 1 < p < ∞, and from L 1 into weak L 1.
