The generalized Stieltjes–Poisson transform over Lebesgue spaces and distributions of compact support

This paper investigates the generalized Stieltjes–Poisson transform, deriving a real inversion formula and exploring its asymptotic behaviours over Lebesgue spaces. It further establishes a Parseval-type relations for this transform over Lebesgue spaces. We also obtain exchange formulae for the gene...

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Veröffentlicht in:	São Paulo Journal of Mathematical Sciences 2024-08, Vol.18 (2), p.1839-1860
Hauptverfasser:	Maan, Jeetendrasingh, Negrín, E. R.
Format:	Artikel
Sprache:	eng
Schlagworte:	Asymptotic properties Mathematics Mathematics and Statistics Original Article
Online-Zugang:	Volltext
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