A Semi-Classical Szegő-type Limit Theorem for Toeplitz Operators
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912965221941248 |
|---|---|
| author | Camper, Trevor Mitkovski, Mishko |
| author_facet | Camper, Trevor Mitkovski, Mishko |
| contents | We obtain Szeg\H o-type limit theorems for Toeplitz operators on the weighted Bergman spaces $A^{2}_α(\mathbb{B}^{n})$, and on $L^{2}(G)$, presenting separate formulations for compact and locally compact Abelian groups. Furthermore, we establish a broad class of abstract Szegő limit theorems that unify and extend many classical results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_19298 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Semi-Classical Szegő-type Limit Theorem for Toeplitz Operators Camper, Trevor Mitkovski, Mishko Functional Analysis Spectral Theory We obtain Szeg\H o-type limit theorems for Toeplitz operators on the weighted Bergman spaces $A^{2}_α(\mathbb{B}^{n})$, and on $L^{2}(G)$, presenting separate formulations for compact and locally compact Abelian groups. Furthermore, we establish a broad class of abstract Szegő limit theorems that unify and extend many classical results. |
| title | A Semi-Classical Szegő-type Limit Theorem for Toeplitz Operators |
| topic | Functional Analysis Spectral Theory |
| url | https://arxiv.org/abs/2411.19298 |