$e$-product of distributions, with applications
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910801233707008 |
|---|---|
| author | Bagarello, Fabio |
| author_facet | Bagarello, Fabio |
| contents | We consider and reformulate a recent definition of multiplication between distributions. We show that this definition can be adopted, in particular, to prove biorthonormality of some distributions arising when looking to the (generalized) eigenvalues of a specific non self-adjoint number-like operator, considered in connection with the recently introduced {\em weak pseudo-bosons}. Several examples are discussed in details. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_15291 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | $e$-product of distributions, with applications Bagarello, Fabio Mathematical Physics Quantum Physics We consider and reformulate a recent definition of multiplication between distributions. We show that this definition can be adopted, in particular, to prove biorthonormality of some distributions arising when looking to the (generalized) eigenvalues of a specific non self-adjoint number-like operator, considered in connection with the recently introduced {\em weak pseudo-bosons}. Several examples are discussed in details. |
| title | $e$-product of distributions, with applications |
| topic | Mathematical Physics Quantum Physics |
| url | https://arxiv.org/abs/2501.15291 |