Work

New Inversion Formulae for the Widder–Lambert and Stieltjes–Poisson Transforms

Year: 2025

Type: article

Abstract: This paper establishes explicit inversion formulae for the Widder–Lambert transform and the Stieltjes–Poisson transform, extending their applicability to function spaces and compactly supported distributions. Utilizing a generalized Lambert transform, the study provides a unified framework for inversion, enhancing the theoretical understanding of these integral transforms. Additionally, a specific function class satisfying Salem’s equivalence to the Riemann hypothesis is identified, further broadening the analytical scope of the results within generalized function spaces.

Source: Axioms

DOI: 10.3390/axioms14040291

Authors: Emilio R. Negrín, Jeetendrasingh Maan

Institutions: Universidad de La Laguna, National Institute of Technology Hamirpur

Language: English

Topic: Mathematical Analysis and Transform Methods

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,896

OpenAlex ID: W4409437399

FWCI: 5.629

Cites: 25

Cited by: 3

Related to: 10