Results 41 to 50 of about 3,739 (136)

Non‐cyclicity and polynomials in Dirichlet‐type spaces of the unit ball

Bulletin of the London Mathematical Society, Volume 56, Issue 12, Page 3905-3919, December 2024.
Abstract We give a description of the intersection of the zero set with the unit sphere of a polynomial that is zero‐free in the unit ball of Cn${\mathbb {C}}^n$. This description leads to a necessary condition for a polynomial to be cyclic in Dirichlet‐type spaces of the unit ball.
Dimitrios Vavitsas, Konstantinos Zarvalis   +1 more
wiley   +1 more source

Compactness of the canonical solution operator on Lipschitz q-pseudoconvex boundaries

Electronic Journal of Differential Equations, 2019
Let $\Omega\subset\mathbb{C}^n$ be a bounded Lipschitz q-pseudoconvex domain that admit good weight functions. We shall prove that the canonical solution operator for the $\overline{\partial}$-equation is compact on the boundary of $\Omega$ and is ...
Sayed Saber
doaj  

Strong Stein neighborhood bases

, 2011
Let D be a smooth bounded pseudoconvex domain in C^n. We give several characterizations for the closure of D to have a strong Stein neighborhood basis in the sense that D has a defining function r such that {z\in C^n:r(z)0.
Boas HP, Harrington PS, Hörmander L, Krantz SG, Range RM, Sibony N, Straube EJ, Sönmez Şahutoğlu, Čirka EM, Şahutoğlu S   +9 more
core   +1 more source

New estimates of Rychkov's universal extension operator for Lipschitz domains and some applications

Mathematische Nachrichten, Volume 297, Issue 4, Page 1407-1443, April 2024.
Abstract Given a bounded Lipschitz domain Ω⊂Rn$\Omega \subset \mathbb {R}^n$, Rychkov showed that there is a linear extension operator E$\mathcal {E}$ for Ω$\Omega$, which is bounded in Besov and Triebel‐Lizorkin spaces. In this paper, we introduce some new estimates for the extension operator E$\mathcal {E}$ and give some applications.
Ziming Shi, Liding Yao
wiley   +1 more source

Golden Angle Modulation in Complex Dimension Two

Mathematics
In this paper, we propose a new geometric-shaping design for golden angle modulation (GAM) based on the complex geometric properties of open symmetrized bidisc, termed Bd-GAM, for future generation wireless communication systems.
Kejia Hu, Hongyi Li, Di Zhao, Yuan Jiang
doaj   +1 more source

Levi problem and semistable quotients

, 2012
A complex space $X$ is in class ${\mathcal Q}_G$ if it is a semistable quotient of the complement to an analytic subset of a Stein manifold by a holomorphic action of a reductive complex Lie group $G$.
Cox D, Heinzner P, Ivashkovich S, Malgrange B, Matsushima Y, Oka K, Stefan Nemirovski, Ueda T   +7 more
core   +1 more source

Closed 3‐forms in five dimensions and embedding problems

Journal of the London Mathematical Society, Volume 109, Issue 4, April 2024.
Abstract We consider the question if a five‐dimensional manifold can be embedded into a Calabi–Yau manifold of complex dimension 3 such that the real part of the holomorphic volume form induces a given closed 3‐form on the 5‐manifold. We define an open set of 3‐forms in dimension five which we call strongly pseudoconvex, and show that for closed ...
Simon Donaldson, Fabian Lehmann
wiley   +1 more source

Optimizing Artificial Neural Network Learning Using Improved Reinforcement Learning in Artificial Bee Colony Algorithm

Applied Computational Intelligence and Soft Computing, Volume 2024, Issue 1, 2024.
Artificial neural networks (ANNs) are widely used machine learning techniques with applications in various fields. Heuristic search optimization methods are typically used to minimize the loss function in ANNs. However, these methods can lead the network to become stuck in local optima, limiting performance.
Taninnuch Lamjiak, Booncharoen Sirinaovakul, Siriwan Kornthongnimit, Jumpol Polvichai, Aysha Sohail, Nadeem Sarwar   +5 more
wiley   +1 more source

ENSEMBLES TOTALEMENT RÉELS ET DOMAINES PSEUDOCONVEXES

Memoirs of the Faculty of Science, Kyushu University. Series A, Mathematics, 1985
Main theorem: Let \(L\) be a connected Lie group, \(L'\subset L\) a closed subgroup, \(X\) a complex manifold, \(p: F\to X\) an analytic fiber space with fiber \(L/L'\); let \(D\) be a locally pseudoconvex domain in \(F\) such that there is an open \(G\subset X\) and a totally real submanifold \(M\) of \(G\), \(\dim_{\mathbb R} M =\dim_{\mathbb C} X\),
Hamada, Hidetaka, Kajiwara, Joji
openaire   +3 more sources

The Investigation of Some Essential Concepts of Extended Fuzzy‐Valued Convex Functions and Their Applications

Advances in Fuzzy Systems, Volume 2024, Issue 1, 2024.
In this paper, we are thus motivated to define and introduce the extended fuzzy‐valued convex functions that can take the singleton fuzzy values −∞˜ and +∞˜ at some points. Such functions can be characterized using the notions of effective domain and epigraph.
T. Allahviranloo, M. R. Balooch Shahryari, O. Sedaghatfar, M. R. Shahriari, R. Saadati, S. Noeiaghdam, U. Fernandez-Gamiz, Ramin Ranjbarzadeh   +7 more
wiley   +1 more source