Перегляд за автором "Stempak, K."

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  • Imaginary Powers of the Dunkl Harmonic Oscillator 
    Nowak, A.; Stempak, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    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 Z₂d. We prove that imaginary powers of this operator are bounded ...
  • On Harmonic Analysis Operators in Laguerre-Dunkl and Laguerre-Symmetrized Settings 
    Nowak, A.; Stempak, K.; Szarek, T.Z. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We study several fundamental harmonic analysis operators in the multi-dimensional context of the Dunkl harmonic oscillator and the underlying group of reflections isomorphic to Zd2. Noteworthy, we admit negative values of ...