Harmonic Analysis Associated with the Multivariate Laguerre Function

Harmonic Analysis Associated with the Multivariate Laguerre Function

In this paper, the generalized Laguerre hypergroup K = [ 0 , + ∞ [ n × R is introduced via the multivariate Laguerre function. The inversion theorem, the Plancherel theorem and a Paley–Wiener-type theorem are established for the generalized Fourier–Laguerre transform.

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Veröffentlicht in:Mediterranean journal of mathematics 2018-04, Vol.15 (2), p.1-20, Article 39
Hauptverfasser: Kamoun, Lotfi, Selmi, Rim
Format: Artikel
Sprache:eng
Schlagworte:
Fourier analysis
Harmonic analysis
Laguerre functions
Mathematics
Mathematics and Statistics
Theorems
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Zusammenfassung:In this paper, the generalized Laguerre hypergroup K = [ 0 , + ∞ [ n × R is introduced via the multivariate Laguerre function. The inversion theorem, the Plancherel theorem and a Paley–Wiener-type theorem are established for the generalized Fourier–Laguerre transform.
ISSN:1660-5446
1660-5454
DOI:10.1007/s00009-018-1085-0