Results 111 to 120 of about 2,871 (158)
, 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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Localization Operators for the Linear Canonical Dunkl Windowed Transformation
AxiomsOne of the best known time–frequency tools for examining non-transient signals is the linear canonical windowed transform, which has been used extensively in signal processing and related domains. In this paper, by involving the harmonic analysis for the
Saifallah Ghobber, Hatem Mejjaoli
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SPECTRAL THEOREMS ASSOCIATED TO THE DUNKL OPERATORS
Korean Journal of Mathematics, 2016 Summary: In this paper, we characterize the support for the Dunkl transform on the generalized Lebesgue spaces via the Dunkl resolvent function. The behavior of the sequence of \(L^p_k-\) norms of iterated Dunkl potentials is studied depending on the support of their Dunkl transform.
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Inversion of the Dunkl Intertwining Operator and Its Dual Using Dunkl Wavelets
Rocky Mountain Journal of Mathematics, 2002 In \S1 of the paper, the author gives results on the Dunkl operators and on eigenfunction called the Dunkl kernel and then he defines the Dunkl intertwining operator \(V_k\) and its dual \({}^tV_k\) and mentions their main properties. In Sections 3 and 4, the harmonic analysis associated with Dunkl operators (Dunkl transform, Dunkl translation ...
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Approaching Bilinear Multipliers via a Functional Calculus. [PDF]
J Geom Anal, 2018 Wróbel B.
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MathematicsIn the present paper we study a class of Toeplitz operators called concentration operators that are self-adjoint and compact in the linear canonical Dunkl setting.
Saifallah Ghobber, Hatem Mejjaoli
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A Refinement of the Robertson-Schrödinger Uncertainty Principle and a Hirschman-Shannon Inequality for Wigner Distributions. [PDF]
J Fourier Anal Appl, 2019 Dias NC, de Gosson MA, Prata JN.
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Relativistic quantum heat engine from uncertainty relation standpoint. [PDF]
Sci Rep, 2019 Chattopadhyay P, Paul G.
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An explicit transition density expansion for a multi-allelic Wright-Fisher diffusion with general diploid selection. [PDF]
Theor Popul Biol, 2013 Steinrücken M, Wang YX, Song YS.
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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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