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您的检索式：作者名="Fethi SOLTANI"
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| 1 | MULTIPLIER OPERATORS AND EXTREMAL FUNCTIONS RELATED TO THE DUAL DUNKL-SONINE OPERATOR显示文摘We study the dual Dunkl-Sonine operator tSk, on Rd , and give expression of tSk,e1 , using Dunkl multiplier operators on R d . Next, we study the extremal functions fμλ , λ> 0 related to the Dunkl multiplier operators, and more precisely show that {fμλ}λ>0 converges uniformly to tSk,e(f) as λ→ 0 + . Certain examples based on Dunkl-heat and Dunkl-Poisson kernels are provided to illustrate the results. | Fethi SOLTANI | 2013 | Acta Mathematica Scientia2013，33，2： | 1 |
| 2 | Uncertainty Principles for the Segal-Bargmann Transform显示文摘We recall some properties of the Segal-Bargmann transform; and we establish for this transform qualitative uncertainty principles: local uncertainty principle, Heisenberg uncertainty principle, Donoho-Stark's uncertainty principle and Matolcsi-Sziics uncertainty principle. | Fethi SOLTANI | 2017 | Journal of Mathematical Research with Applications2017，37，5： | 1 |
| 3 | Laeng-Morpurgo-Type Uncertainty Inequalities for the Laguerre Transform显示文摘In this work,we prove Clarkson-type and Nash-type inequalities for the Laguerre transform■on M=[0,∞)×R.By combining these inequalities,we show Laeng-Morpurgo-type uncertainty inequalities.We establish also a local-type uncertainty inequalities for the Laguerre transform■,and we deduce a Heisenberg-Pauli-Weyl-type inequality for this transform. | Fethi SOLTANI | 2022 | Journal of Mathematical Research with Applications2022，42，1： | 0 |
| 4 | Inversion Formula for the Dunkl-Wigner Transform and Compactness Property for the Dunkl-Weyl Transforms显示文摘We define and study the Fourier-Wigner transform associated with the Dunkl operators,and we prove for this transform an inversion formula.Next,we introduce and study the Weyl transforms W_σ associated with the Dunkl operators,where cr is a symbol in the Schwartz space S(R^d×R^d).An integral relation between the precedent Weyl and Wigner transforms is given.At last,we give criteria in terms of σ for boundedness and compactness of the transform W_σ. | Fethi SOLTANI | 2015 | Journal of Mathematical Research with Applications2015，35，4： | 0 |
| 5 | Dunkl Multiplier Operators on a Class of Reproducing Kernel Hilbert Spaces显示文摘We study some class of Dunkl multiplier operators;and we establish for them the Heisenberg-Pauli-Weyl uncertainty principle and the Donoho-Stark's uncertainty principle.For these operators we give also an application of the theory of reproducing kernels to the Tikhonov regularization on the Sobolev-Dunkl spaces. | Fethi SOLTANI | 2016 | Journal of Mathematical Research with Applications2016，36，6： | 0 |
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