Imaginary Powers of the Dunkl Harmonic Oscillator
oleh: Adam Nowak, Krzysztof Stempak
| Format: | Article |
|---|---|
| Diterbitkan: | National Academy of Science of Ukraine 2009-02-01 |
Deskripsi
In this paper we continue the study of spectral properties of the Dunkl harmonic oscillator in the context of a finite reflection group on Rd isomorphic to Z_2^d. We prove that imaginary powers of this operator are bounded on L^p, 1 < p < ∞, and from L^1 into weak L^1.