Mellin and Widder–Lambert Transforms with Applications in the Salem Equivalence to the Riemann Hypothesis

Mellin and Widder–Lambert Transforms with Applications in the Salem Equivalence to the Riemann Hypothesis

This paper presents a comprehensive study of Plancherel’s theorem and inversion formulae for the Widder–Lambert transform, extending its scope to Lebesgue integrable functions, compactly supported distributions, and regular distributions with compact support. By employing the Plancherel theorem for...

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Bibliographic Details
Main Authors: Emilio R. Negrín, Jeetendrasingh Maan, Benito J. González
Format: Article
Language:English
Published: MDPI AG 2025-02-01
Series:Axioms
Subjects:
Mellin transform
Widder–Lambert transform
Plancherel’s theorem
inversion formulae
distributions of compact support
Salem’s equivalence
Online Access:https://www.mdpi.com/2075-1680/14/2/129

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https://www.mdpi.com/2075-1680/14/2/129

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