Publication details
Increasingly global convergence of Hermite series
| Authors | |
|---|---|
| Year of publication | 2026 |
| Type | Peer-reviewed scientific article |
| Magazine / Source | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS |
| MU Faculty or unit | |
| Citation | |
| web | |
| Doi | https://doi.org/10.1016/j.jmaa.2025.130360 |
| Keywords | Hermite series; Function spaces; Rearrangement-invariant spaces; Orlicz spaces |
| Attached files | |
| Description | We study the convergence of Hermite series of measurable functions on the real line. We characterize the norm convergence of truncated partial Hermite sums in rearrangement invariant spaces provided that the truncations increase sufficiently slowly. Moreover, we provide necessary and sufficient conditions for convergence in the Orlicz modular. (c) 2025 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies. |