Spectrality of Infinite Convolutions and Random Convolutions
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , |
|---|---|
| Format: | Preprint |
| Publié: |
2022
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866917804169494528 |
|---|---|
| author | Li, Wenxia Miao, Jun Jie Wang, Zhiqiang |
| author_facet | Li, Wenxia Miao, Jun Jie Wang, Zhiqiang |
| contents | In this paper, we explore spectral measures whose square integrable spaces admit a family of exponential functions as an orthonormal basis.Our approach involves utilizing the integral periodic zeros set of Fourier transform to characterize spectrality of infinite convolutions generated by a sequence of admissible pairs.Then we delve into the analysis of the integral periodic zeros set. Finally, we show that given finitely many admissible pairs, almost all random convolutions are spectral measures. Moreover, we give a complete characterization of spectrality of random convolutions in some special cases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2206_07342 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Spectrality of Infinite Convolutions and Random Convolutions Li, Wenxia Miao, Jun Jie Wang, Zhiqiang Classical Analysis and ODEs Functional Analysis 42C30, 28A80 In this paper, we explore spectral measures whose square integrable spaces admit a family of exponential functions as an orthonormal basis.Our approach involves utilizing the integral periodic zeros set of Fourier transform to characterize spectrality of infinite convolutions generated by a sequence of admissible pairs.Then we delve into the analysis of the integral periodic zeros set. Finally, we show that given finitely many admissible pairs, almost all random convolutions are spectral measures. Moreover, we give a complete characterization of spectrality of random convolutions in some special cases. |
| title | Spectrality of Infinite Convolutions and Random Convolutions |
| topic | Classical Analysis and ODEs Functional Analysis 42C30, 28A80 |
| url | https://arxiv.org/abs/2206.07342 |