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Volume 13
Issue 9
10.3390/axioms13090630
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This is an early access version, the complete PDF, HTML, and XML versions will be available soon.
Article

Parseval–Goldstein-Type Theorems for Lebedev–Skalskaya Transforms

by
Emilio Ramón Negrín
1,
Benito Juan González
1 and
Jeetendrasingh Maan
2,*
1
Departamento de Análisis Matemático, Universidad de La Laguna (ULL), ES-38271 La Laguna, Spain
2
Department of Mathematics and Scientific Computing, National Institute of Technology, Hamirpur 177005, India
*
Author to whom correspondence should be addressed.
Axioms 2024, 13(9), 630; https://doi.org/10.3390/axioms13090630 (registering DOI)
Submission received: 19 August 2024 / Revised: 10 September 2024 / Accepted: 11 September 2024 / Published: 14 September 2024
(This article belongs to the Special Issue Advanced Approximation Techniques and Their Applications II)
Versions Notes

Abstract

This paper investigates Parseval–Goldstein-type relationships in the framework of Lebedev–Skalskaya transforms. The research also examines the continuity properties of these transforms, along with their adjoint counterparts over weighted Lebesgue spaces. Furthermore, the behavior of Lebedev–Skalskaya transforms and their adjoint transforms in the context of weighted Lebesgue spaces is analyzed. This study aims to provide deeper insights into the functional properties and applications of these transforms in mathematical analysis.
Keywords: Lebedev–Skalskaya transforms; weighted Lebesgue spaces; Parseval–Goldstein relations Lebedev–Skalskaya transforms; weighted Lebesgue spaces; Parseval–Goldstein relations

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MDPI and ACS Style

Negrín, E.R.; González, B.J.; Maan, J. Parseval–Goldstein-Type Theorems for Lebedev–Skalskaya Transforms. Axioms 2024, 13, 630. https://doi.org/10.3390/axioms13090630

AMA Style

Negrín ER, González BJ, Maan J. Parseval–Goldstein-Type Theorems for Lebedev–Skalskaya Transforms. Axioms. 2024; 13(9):630. https://doi.org/10.3390/axioms13090630

Chicago/Turabian Style

Negrín, Emilio Ramón, Benito Juan González, and Jeetendrasingh Maan. 2024. "Parseval–Goldstein-Type Theorems for Lebedev–Skalskaya Transforms" Axioms 13, no. 9: 630. https://doi.org/10.3390/axioms13090630

Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details here.

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