111 citations
- Institute of PhysicsPL28 papers
- Institute of MathematicsPL16 papers
- University of WrocławPL5 papers
- The Ohio State UniversityUS4 papers
- University of MünsterDE4 papers
- University of Tennessee at KnoxvilleUS4 papers
- Hubei University for NationalitiesCN3 papers
- Centre National de la Recherche ScientifiqueFR2 papers
- Chalmers University of TechnologySE2 papers
- Kingston University LondonGB2 papers
- Paderborn UniversityDE2 papers
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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…