Gustavo Dorrego

collaborators

3 papers

math.AP2026

Weighted fractional ultrahyperbolic diffusion on geometrically deformed domains

Gustavo Dorrego

Standard fractional models on manifolds often conflate geometric anisotropy with medium heterogeneity. In this Letter, we overcome this rigidity by deriving the fundamental solutio…

math.CA2025

Spectral Theory of the Weighted Fourier Transform with respect to a Function in $R^{n}$ : Uncertainty Principle and Diffusion-Wave Applications

Gustavo Dorrego, Luciano Luque

In this paper, we generalize the weighted Fourier transform with respect to a function, originally proposed for the one-dimensional case in \cite{Dorrego}, to the $n$ -dimensional E…

math.FA2025

The $I ¨ $ - $I ¨ $ -Mellin transform

This manuscript introduces a generalization of the Mellin integral transform within the framework of weighted fractional calculus with respect to an increasing function. The propos…

Weighted fractional ultrahyperbolic diffusion on geometrically deformed domains

Spectral Theory of the Weighted Fourier Transform with respect to a Function in Rn: Uncertainty Principle and Diffusion-Wave Applications

The I¨-I¨-Mellin transform

Spectral Theory of the Weighted Fourier Transform with respect to a Function in $R^{n}$ : Uncertainty Principle and Diffusion-Wave Applications

The $I ¨ $ - $I ¨ $ -Mellin transform