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math.CA2009★ 21 cited
Imaginary Powers of the Dunkl Harmonic Oscillator
Adam Nowak, Krzysztof Stempak
In this paper we continue the study of spectral properties of the Dunkl harmonic oscillator in the context of a finite reflection group on isomorphic to $\mathbb{Z}^…
math.CA2008
Riesz transforms for Jacobi expansions
Adam Nowak, Peter Sjögren
We define and study Riesz transforms and conjugate Poisson integrals associated with multi-dimensional Jacobi expansions.
math.CA2008
Riesz transforms for the Dunkl harmonic oscillator
Adam Nowak, Krzysztof Stempak
We define and investigate a system of Riesz transforms related to the Dunkl harmonic oscillator.
math.CA2008
The multi-dimensional pencil phenomenon for Laguerre heat-diffusion maximal operators
Adam Nowak, Peter Sjögren
We investigate in detail the mapping properties of the maximal operator associated with the heat-diffusion semigroup corresponding to expansions with respect to multi-dimensional s…