Results 51 to 60 of about 5,540 (198)
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 +1 more
wiley +1 more source
Condition R and proper holomorphic maps between equidimensional product domains
, 2013 We consider proper holomorphic mappings of equidimensional pseudoconvex domains in complex Euclidean space, where both source and target can be represented as Cartesian products of smoothly bounded domains.
Chakrabarti, Debraj, Verma, Kaushal
core +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
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
Embeddability of some strongly pseudoconvex CR manifolds
, 2004 We obtain an embedding theorem for compact strongly pseudoconvex CR manifolds which are bounadries of some complete Hermitian manifolds. We use this to compactify some negatively curved Kaehler manifolds with compact strongly pseudoconvex boundary.
Marinescu, G., Yeganefar, N.
core +1 more source
Golden Angle Modulation in Complex Dimension Two
MathematicsIn 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
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
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 +5 more
wiley +1 more source
The Automorphism Group of a Domain with an Exponentially Flat Boundary Point [PDF]
, 2010 We study the automorphisms group action on a bounded domain in $\CC^n$ having a boundary point that is exponentially flat. Such a domain typically has a compact automorphism group.
Krantz, Steven G.
core
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