Results 121 to 130 of about 2,908 (161)
, 2018 In this paper, we consider the Schr\"odinger operators $L_k=-\Delta_k+V$, where $\Delta_k$ is the Dunkl-Laplace operator and $V$ is a non-negative potential on $R^d$. We establish that $L_k $ is essentially self-adjoint on $C_0^\infty$. In particular, we develop a bounded $H^\infty$-calculus on $L^p$ spaces for the Dunkl harmonic oscillator operator.
Hammi, Amel, Amri, Bechir
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Dunkl operators: Theory and applications
, 2018 These lecture notes are intended as an introduction to the theory of rational Dunkl operators and the associated special functions, with an emphasis on positivity and asymptotics. We start with an outline of the general concepts: Dunkl operators, the intertwining operator, the Dunkl kernel and the Dunkl transform.
Rosler, M., Koelink, Erik
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PROPERTIES OF THE GENERALIZED DUNKL OPERATOR [PDF]
Вестник Башкирского университета, 2018 A. I. Rakhimova, V. V. Napalkov
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Dunkl Processes and Intertwining Operators
Dunkl Processes and Intertwining Operatorsapplication ...
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The Dunkl intertwining operator
Journal of Functional Analysis, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mostafa Maslouhi
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On the representing measures of Dunkl’s intertwining operator
Journal of Approximation Theory, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jiaxi Jiu, Zhongkai Li
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The Dunkl-Hausdorff operators and the Dunkl continuous wavelets transform
Journal of Pseudo-Differential Operators and Applications, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Radouan Daher, Faouaz Saadi
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Boundedness of the Dunkl–Hausdorff operator in Lebesgue spaces
Rocky Mountain Journal of Mathematics, 2021In this paper, the authors characterized the \(L^{p}_{\nu}(\mathbb{R})\)-boundedness of the so-called Dunkl-Hausdorff operator, i.e. \[ H_{\alpha, \phi}f(x)=\int_{\mathbb{R}}\frac{|\phi(t)|}{|t|^{2\alpha+2}} f\left(\frac{x}{t}\right)\, \mathrm{d}t, \] where the weight is given by \(\nu(x)=|x|^{2\alpha+1}\) and ...
Jain S., Fiorenza A., Jain P.
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