Trigonometric Convexity for the Multidimensional Indicator after Ivanov
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2022
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866914630326026240 |
|---|---|
| author | Mkrtchyan, Aleksandr Vagharshakyan, Armen |
| author_facet | Mkrtchyan, Aleksandr Vagharshakyan, Armen |
| contents | Multidimensional indicator after Ivanov is a generalization of the notion of indicator, that is well-known for analytic functions in one complex variable, to analytic functions in several complex variables. We prove an analogue of trigonometric convexity for it. Additionally, we show that our estimate is sharp. The proof is based on the multidimensional analogue of the sectorial Fourier inversion formula. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2205_02585 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Trigonometric Convexity for the Multidimensional Indicator after Ivanov Mkrtchyan, Aleksandr Vagharshakyan, Armen Complex Variables 32A26, 42B10, 32C30 Multidimensional indicator after Ivanov is a generalization of the notion of indicator, that is well-known for analytic functions in one complex variable, to analytic functions in several complex variables. We prove an analogue of trigonometric convexity for it. Additionally, we show that our estimate is sharp. The proof is based on the multidimensional analogue of the sectorial Fourier inversion formula. |
| title | Trigonometric Convexity for the Multidimensional Indicator after Ivanov |
| topic | Complex Variables 32A26, 42B10, 32C30 |
| url | https://arxiv.org/abs/2205.02585 |