2 papers
math.CA2025
A Schwartz-type Space for the Generalized Fourier Transform
Nelson Faustino, Selma Negzaoui
The Schwartz space is not invariant under the -generalized Fourier transform unless , and in general no such adapted spa…
math.CV2024
Paley-Wiener Type Theorems associated to Dirac Operators of Riesz-Feller type
Swanhild Bernstein, Nelson Faustino
This paper explores Paley-Wiener type theorems within the framework of hypercomplex variables. The investigation focuses on a space-fractional version of the Dirac operator $\mathb…