On the Inversion of the Mellin Convolution

Bengochea, Gabriel; Ortigueira, Manuel; Arroyo-Cabañas, Fernando

http://hdl.handle.net/10362/185007

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Autores

Bengochea, Gabriel

Ortigueira, Manuel

Arroyo-Cabañas, Fernando

Resumo(s)

The deconvolution of the Mellin convolution is studied for a great variety of functions that are expressed in terms of (Formula presented.) –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.

Descrição

Funding Information: The first author was funded by the Autonomous University of Mexico City under project UACM CCYT-CON-03. The second author was partially funded by National Funds through the Foundation for Science and Technology of Portugal under the project UIDB/00066/2020. Publisher Copyright: © 2025 by the authors.