Uniqueness sets with angular density for spaces of entire functions, III: how to minimize the type
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866917514224599040 |
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| author | Kononova, Anna |
| author_facet | Kononova, Anna |
| contents | This note is the third part of our work devoted to uniqueness sets for spaces of entire functions. Given a discrete set $Λ$ with angular density $Δ$ with respect to the order $ρ$, satisfying some regularity condition, we show that there exists a type-minimizing measure $Δ_0$ with less than $2ρ$ discrete masses. For the case $ρ=2$, the value of the critical uniqueness type is found in geometric terms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_20380 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Uniqueness sets with angular density for spaces of entire functions, III: how to minimize the type Kononova, Anna Complex Variables 30D15 This note is the third part of our work devoted to uniqueness sets for spaces of entire functions. Given a discrete set $Λ$ with angular density $Δ$ with respect to the order $ρ$, satisfying some regularity condition, we show that there exists a type-minimizing measure $Δ_0$ with less than $2ρ$ discrete masses. For the case $ρ=2$, the value of the critical uniqueness type is found in geometric terms. |
| title | Uniqueness sets with angular density for spaces of entire functions, III: how to minimize the type |
| topic | Complex Variables 30D15 |
| url | https://arxiv.org/abs/2605.20380 |