Zobrazeno 1 - 10
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pro vyhledávání: '"Daghighi, Abtin"'
Autor:
Daghighi, Abtin
We prove versions of Rad\'o's theorem for polyanalytic functions in one variable and also on simply connected $\mathbb{C}$-convex domains in $\mathbb{C}^n$. Let $\Omega\subset \mathbb{C}$ be a bounded, simply connected domain and let $q\in \mathbb{Z}
Externí odkaz:
http://arxiv.org/abs/2101.07874
Autor:
Daghighi, Abtin, Gauthier, Paul M.
The most important uniform algebra is the family of continuous functions on a compact subset $K$ of the complex plane $\mathbb{C}$ which are analytic on the interior int$(K)$ For compact sets $K$ which are regular (i.e. $K =$int$(K)$ and for polyanal
Externí odkaz:
http://arxiv.org/abs/1905.02514
Autor:
Daghighi, Abtin
We prove that a smooth generic embedded CR submanifold of C^n obeys the maximum principle for continuous CR functions if and only if it is weakly 1-concave. The proof of the maximum principle in the original manuscript has later been generalized to e
Externí odkaz:
http://urn.kb.se/resolve?urn=urn:nbn:se:miun:diva-21641
Autor:
Daghighi, Abtin, Wikström, Frank
For an open set $V\subset\mathbb{C}^n$, denote by $\mathscr{M}_{\alpha}(V)$ the family of $\alpha$-analytic functions that obey a boundary maximum modulus principle. We prove that, on a bounded domain $\Omega\subset \mathbb{C}^n$, with continuous bou
Externí odkaz:
http://arxiv.org/abs/1612.06990
Autor:
Daghighi, Abtin
This licentiate thesis contains results on the maximum principle forCauchy–Riemann functions (CR functions) on weakly 1-concave CRmanifolds and hypocomplexity of locally integrable structures. Themaximum principle does not hold true in general for
Externí odkaz:
http://urn.kb.se/resolve?urn=urn:nbn:se:miun:diva-17701
Autor:
Daghighi, Abtin, Krantz, Steven G.
We consider the following conjecture (from Huang, et al): Let $\Delta^+$ denote the upper half disc in $\mathbb{C}$ and let $\gamma = ( - 1, 1)$ (viewed as an interval in the real axis in $\mathbb{C}$). Assume that $F$ is a holomorphic function on $\
Externí odkaz:
http://arxiv.org/abs/1407.1763
Autor:
Daghighi, Abtin1 (AUTHOR) abtin.daghighi@umu.se, Tropp, Hans2 (AUTHOR) hans.tropp@liu.se
Publikováno v:
Biometrical Letters. Jan2021, Vol. 57 Issue 1, p131-150. 20p.
