Heisenberg-Pauli-Weyl uncertainty principle for the Riemann-Liouville operator.
Omri, S., Rachdi, L.T. (2008)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Omri, S., Rachdi, L.T. (2008)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Binous, Wafa (2008)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Dhaouadi, Lazhar, Fitouhi, Ahmed, El Kamel, J. (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Francesca Astengo, Bianca Di Blasio, Fulvio Ricci (2013)
Studia Mathematica
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Let H₁ be the 3-dimensional Heisenberg group. We prove that a modified version of the spherical transform is an isomorphism between the space 𝓢ₘ(H₁) of Schwartz functions of type m and the space 𝓢(Σₘ) consisting of restrictions of Schwartz functions on ℝ² to a subset Σₘ of the Heisenberg fan with |m| of the half-lines removed. This result is then applied to study the case of general Schwartz functions on H₁.
Rassias, John Michael (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Soltani, Fethi (2005)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Mejjaoli, Hatem (2009)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Peachey, T.C. (2003)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Brahim, Kamel (2008)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Fitouhi, Ahmed, Bettaibi, Néji, Bettaieb, Rym H., Binous, Wafa (2008)
International Journal of Mathematics and Mathematical Sciences
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Brahim, Kamel, Bettaibi, Néji, Sellami, Mouna (2008)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Rassias, John Michael (2005)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Rassias, John Michael (2005)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Belgacem, Fethi bin Muhammed, Karaballi, Ahmed Abdullatif, Kalla, Shyam L. (2003)
Mathematical Problems in Engineering
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