On the Inversion of the Mellin Convolution

Gabriel Bengochea, Manuel Ortigueira () and Fernando Arroyo-Cabañas
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Gabriel Bengochea: Colegio de Ciencia y Tecnología, Universidad Autónoma de la Ciudad de México, Ciudad de México 09790, Mexico
Manuel Ortigueira: CTS-UNINOVA and LASI, NOVA School of Science and Technology, NOVA University of Lisbon, Quinta da Torre, 2829-516 Caparica, Portugal
Fernando Arroyo-Cabañas: Colegio de Ciencia y Tecnología, Universidad Autónoma de la Ciudad de México, Ciudad de México 09790, Mexico

Mathematics, 2025, vol. 13, issue 3, 1-28

Abstract: The deconvolution of the Mellin convolution is studied for a great variety of functions that are expressed in terms of α –log-exponential monomials. It is shown that the generation of pairs of functions satisfying a Sonin-like condition can be worked as a deconvolution process. Applications of deconvolution to scale-invariant linear systems are presented.

Keywords: Sonin condition; fractional scale derivative; Mellin convolution (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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