On the Lévy–Khintchine representation of q-Bessel negative definite functions

On the Lévy–Khintchine representation of q-Bessel negative definite functions

We study q -Bessel negative definite functions and use their properties to give a proof of Lévy–Khintchine representation of q -infinitely divisible probability measures.

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Veröffentlicht in:Positivity : an international journal devoted to the theory and applications of positivity in analysis 2013-03, Vol.17 (1), p.81-100
Hauptverfasser: Dhaouadi, Lazhar, Safraoui, Amel, Fitouhi, Ahmed
Format: Artikel
Sprache:eng
Schlagworte:
Calculus of Variations and Optimal Control
Optimization
Econometrics
Fourier Analysis
Mathematics
Mathematics and Statistics
Operator Theory
Potential Theory
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Beschreibung
Zusammenfassung:We study q -Bessel negative definite functions and use their properties to give a proof of Lévy–Khintchine representation of q -infinitely divisible probability measures.
ISSN:1385-1292
1572-9281
DOI:10.1007/s11117-011-0150-8