Results 71 to 80 of about 2,888 (114)
Pitt's inequalities and uncertainty principle for generalized Fourier transform
, 2015 We study the two-parameter family of unitary operators \[ \mathcal{F}_{k,a}=\exp\Bigl(\frac{i\pi}{2a}\,(2\langle k\rangle+{d}+a-2 )\Bigr) \exp\Bigl(\frac{i\pi}{2a}\,\Delta_{k,a}\Bigr), \] which are called $(k,a)$-generalized Fourier transforms and ...
Gorbachev, Dmitry +2 more
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A generalized Dunkl type modifications of Phillips operators. [PDF]
J Inequal Appl, 2018 Nasiruzzaman M, Rao N.
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A Dunkl type generalization of Szász operators via post-quantum calculus. [PDF]
J Inequal Appl, 2018 Alotaibi A, Nasiruzzaman M, Mursaleen M.
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Approaching Bilinear Multipliers via a Functional Calculus. [PDF]
J Geom Anal, 2018 Wróbel B.
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On modified Dunkl generalization of Szász operators via q-calculus. [PDF]
J Inequal Appl, 2017 Mursaleen M, Nasiruzzaman M, Alotaibi A.
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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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Commutants of the Dunkl Operators in C(R)
, 2006 2000 Mathematics Subject Classification: 44A35; 42A75; 47A16, 47L10, 47L80 The Dunkl operators. * Supported by the Tunisian Research Foundation under 04/UR/15-02.
Dimovski, Ivan +2 more
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, 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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