The Extended Paley-Wiener Theorem over the Hardy-Sobolev Spaces
Functional Analysis
2024-03-19 v2
Abstract
We examine how the square-integrable function subspaces are transformed using the holomorphic Fourier transform. On account of this, the extended Paley-Wiener theorem over the Hardy-Sobolev spaces is produced. The theorem also asserts that the reproducing kernel of the Hardy-Sobolev spaces can be found. We discuss the relationship between the disc and the upper half-plane.
Keywords
Cite
@article{arxiv.2310.10040,
title = {The Extended Paley-Wiener Theorem over the Hardy-Sobolev Spaces},
author = {Detian Liu and Haichou Li and Kit Ian Kou},
journal= {arXiv preprint arXiv:2310.10040},
year = {2024}
}