| Full text | |
| Author(s): |
Hoepfner, G.
;
Rampazo, P.
Total Authors: 2
|
| Document type: | Journal article |
| Source: | Proceedings of the American Mathematical Society; v. 150, n. 3, p. 17-pg., 2022-03-01. |
| Abstract | |
In this paper we introduce the notion of global ultradifferentiable functions with respect to weight functions and include a discussion of its functional analytic theory and prove a characterization in terms of certain exponential decay of the Fourier-Broz-Iagolnitzer transform-a Paley-Wiener type theorem. As an application we investigate the regularity of global ultradifferentiable vectors proving a version of the Kotake-Narasimhan theorem in this setting. (AU) | |
| FAPESP's process: | 19/04995-3 - Qualitative properties of partial differential equations and several complex variables |
| Grantee: | Gustavo Hoepfner |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 18/14316-3 - Geometric theory of PDE and multidimensional complex analysis |
| Grantee: | Paulo Domingos Cordaro |
| Support Opportunities: | Research Projects - Thematic Grants |