Zobrazeno 1 - 10
of 22
pro vyhledávání: '"Alekos Vidras"'
Autor:
C. Tryfonos, Alekos Vidras
Publikováno v:
Computational Methods and Function Theory. 20:5-38
In the present paper we study the boundary behavior of a weighted Koppelman type integral with a specific choice of weight for a function $$\phi $$ that is integrable on a bounded domain $$D\subset \mathbb {C}^n$$ and is continuous on its $$\mathcal
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e368ddbe51e990707429249ab8b7d617
https://doi.org/10.1007/s40315-019-00297-6
https://doi.org/10.1007/s40315-019-00297-6
Autor:
Alekos Vidras, Alain Yger
Residue theory is an active area of complex analysis with connections and applications to fields as diverse as partial differential and integral equations, computer algebra, arithmetic or diophantine geometry, and mathematical physics. Multidimension
Autor:
Alekos Vidras, Alain Yger
Publikováno v:
Mathematische Annalen
Mathematische Annalen, Springer Verlag, In press, ⟨10.1007/s00208-020-02137-8⟩
Mathematische Annalen, Springer Verlag, In press, ⟨10.1007/s00208-020-02137-8⟩
Using a modified Cauchy–Weil representation formula in a Weil polyhedron $${\varvec{D}}_f\subset U\subset \mathbb {C}^n$$ , we prove a generalized version of Lagrange interpolation formula (at any order) with respect to a discrete set defined by $$
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3a74e89e42a15cc3c43403bf78b41396
https://hal.archives-ouvertes.fr/hal-03110008
https://hal.archives-ouvertes.fr/hal-03110008
Autor:
Alekos Vidras
Publikováno v:
Complex Analysis and Operator Theory. 14
Let $$\Pi =\{z=x+iy\in \mathbb {C}:\;y>0\} $$ be the upper half-plane and the interval [a, b] be a subset of $$ \partial \Pi =\mathbb {R}$$ . We derive a Carleman integral representation formula for all holomorphic functions $$f\in {\mathcal H}(\Pi )
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1633217e4cd4b62936e9998a2aae751b
https://doi.org/10.1007/s11785-020-01024-z
https://doi.org/10.1007/s11785-020-01024-z
Autor:
N. Alexandrou, Alekos Vidras
Publikováno v:
Complex Analysis and Operator Theory. 13:431-478
Let $$T_{B}=\mathbb {R}^2\times i\{(y_1,y_2)\in \mathbb {R}^2 :y_1^2+y_2^2
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f45adf7b5dae8bcae9d09e7788a471e6
https://doi.org/10.1007/s11785-018-0831-4
https://doi.org/10.1007/s11785-018-0831-4
Publikováno v:
Complex Analysis and Operator Theory. 8:1341-1366
Let $$\Omega \subset \mathbb {C}^n $$ be a bounded, strictly convex domain with $${{\mathcal {C}}}^3$$ boundary and $$\widetilde{\Omega }$$ be its dual complement. We prove that $$(H^p(\Omega ))^{\prime }=H^q(\widetilde{\Omega })$$ , where $$p>1$$ an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::56a6b319fa82b417472a6c69e5ef14c9
https://doi.org/10.1007/s11785-013-0337-z
https://doi.org/10.1007/s11785-013-0337-z
Autor:
Lev Aizenberg, Alekos Vidras
Publikováno v:
Complex Analysis and Dynamical Systems V. :1-24
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::496f82663595352e7f875351c11c9584
https://doi.org/10.1090/conm/591/11823
https://doi.org/10.1090/conm/591/11823
Publikováno v:
Computational Methods and Function Theory. 9:65-74
We prove that the abscissas of Bohr and Rogosinski for ordinary Dirichlet series, mapping the right half-plane into the bounded convex domain $G\subset \mathbb{C} $ are independent of the domain $G$. Furthermore, we obtain new estimates about these a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c1c32422358ff9c4040ce6d457ca3dfc
https://doi.org/10.1007/bf03321715
https://doi.org/10.1007/bf03321715
Autor:
Lev Aizenberg, Alekos Vidras
Publikováno v:
Mathematische Nachrichten. 237:5-25
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::75ce827496e5c5f1b0272b5c6ce0fa17
https://doi.org/10.1002/1522-2616(200204)237:1<5::aid-mana5>3.0.co
https://doi.org/10.1002/1522-2616(200204)237:1<5::aid-mana5>3.0.co
Autor:
Alain Yger, Alekos Vidras
Publikováno v:
Scopus-Elsevier
We use a D-module approach to discuss positive examples for the existence of the unrestricted limit of the integrals involved in the approximation to the Coleff-Herrera residual currents (in the complete intersection case.) Our results provide also a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9d033989b906a386c38f1e66b3b49b52
https://doi.org/10.1090/s0002-9947-98-02332-0
https://doi.org/10.1090/s0002-9947-98-02332-0