K. Stempak

activity

20082019

most citedImaginary Powers of the Dunkl Harmonic Oscillator

21 citations · 21 across the 2 of their papers we have counts for

collaborators

3 papers

math.CA2019

Reflection principles for functions of Neumann and Dirichlet Laplacians on open reflection invariant subsets of $R^{d}$

Jacek Małecki, Krzysztof Stempak

For an open subset $Ω$ of $R^{d}$ , symmetric with respect to a hyperplane and with positive part $Ω_{+}$ , we consider the Neumann/Dirichlet Laplacians $- Δ_{N / D, Ω}$ and $-Δ_{N/D…

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 $R^{d}$ isomorphic to $\mathbb{Z}^…

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.

Reflection principles for functions of Neumann and Dirichlet Laplacians on open reflection invariant subsets of Rd

Imaginary Powers of the Dunkl Harmonic Oscillator

Riesz transforms for the Dunkl harmonic oscillator

Reflection principles for functions of Neumann and Dirichlet Laplacians on open reflection invariant subsets of $R^{d}$