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Title: Norm Estimates and Uncertainty Principles Associated with the Laguerre Integral Transform
Author: Rodrigues, M. M.
Huy, V. N.
Tuan, N. M.
Keywords: Differential operator
Laguerre transform
Uncertainty inequality
Norms inequalities
Issue Date: 2018
Publisher: Spriinger
Abstract: In this paper we present some results concerning the action of the Laguerre integral transform over the class of polynomials and over the class of infinitely differentiable functions. We prove several uncertainty inequalities of Heisenberg-type, and we also indicate an explicit boundedness for two classes of generalized Laguerre integral transforms which include the classical Riemann Liouville fractional integral.
Peer review: yes
DOI: 10.1007/s11785-017-0736-7
ISSN: 1661-8254
Appears in Collections:CIDMA - Artigos
AGG - Artigos
FAAG - Artigos

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