Spectral Theory of the Weighted Fourier Transform with respect to a Function in ${\mathbb{R}}^n$: 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…