2021/06/29 by Wagner Augusto Almeida de Moraes, de Moraes, Wagner Augusto Almeida · 1 citation
Mathematics · #35H10 #35S15 #42B05 #58J32 #Advanced Harmonic Analysis Research #Analysis of PDEs (math.AP) #FOS: Mathematics #Holomorphic and Operator Theory #Spectral Theory in Mathematical Physics
paper · pdf · doi:10.48550/arxiv.2106.15600
openalex publication_date 2021/06/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we investigate the global properties of Fourier multipliers in the setting of nonharmonic analysis of boundary value problems. We give necessary and sufficient conditions for a Fourier multiplier to be globally hypoelliptic and also to be globally solvable. As an application, we consider operators on [0,1]2 with non-periodic boundary conditions and we obtain results that extend what is already known in the periodic case.