Norm Estimates and Uncertainty Principles Associated with the Laguerre Integral Transform

Norm Estimates and Uncertainty Principles Associated with the Laguerre Integral Transform

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 c...

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Veröffentlicht in:Complex analysis and operator theory 2018-03, Vol.12 (3), p.683-704
Hauptverfasser: Huy, V. N., Rodrigues, M. M., Tuan, N. M.
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Integral transforms
Mathematical analysis
Mathematics
Mathematics and Statistics
Operator Theory
Uncertainty principles
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Zusammenfassung: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.
ISSN:1661-8254
1661-8262
DOI:10.1007/s11785-017-0736-7