Results 31 to 40 of about 122 (116)

Pseudoconvexity and Steinness of Connected Complex Lie Groups: A Concise Lie-Theoretic Approach

Geometry
We give new concise Lie-theoretic proofs of basic analytic–geometric properties of connected complex Lie groups. Using Matsushima’s biholomorphic splitting G≃Cn×K˜ together with a refined analysis of the center via its Cousin factor, we show that every ...
Abdel Rahman Al-Abdallah
doaj   +1 more source

The Levi problem in ℂn: a survey [PDF]

Surveys in Mathematics and its Applications, 2016
We discuss domains of holomorphy and several notions of pseudoconvexity (drawing parallels with the corresponding concepts from geometric convexity), and present a mostly self-contained solution to the Levi problem.
Harry J. Slatyer
doaj  

Graphical and Analytic Study of New Inequalities Involving Strongly n‐Polynomial Exponential‐Type s‐Convex Functions

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper explores a new class of convexity, namely, strongly n‐polynomial exponential‐type s‐convexity. We developed some basic results related to this convexity including few algebraic properties. Three examples have been provided for the verification of newly introduced convexity.
Khuram Ali Khan, Ramy M. Hafez, Kashif Ali, Ndolane Sene, Çetin Yildiz   +4 more
wiley   +1 more source

Compactness of the Complex Green Operator on C¹ Pseudoconvex Boundaries in Stein Manifolds

Mathematics
We study compactness for the complex Green operator Gq associated with the Kohn Laplacian □b on boundaries of pseudoconvex domains in Stein manifolds. Let Ω⋐X be a bounded pseudoconvex domain in a Stein manifold X of complex dimension n with C1 boundary.
Abdullah Alahmari, Emad Solouma, Marin Marin, A. F. Aljohani, Sayed Saber   +4 more
doaj   +1 more source

A geometrical insight on pseudoconvexity and pseudomonotonicity [PDF]

Mathematical Programming, 2009
Generalised convexity is revisited from a geometrical point of view. A substitute to the subdifferential is proposed. Then generalised monotonicity is considered. A representation of generalised monotone maps allows to obtain a symmetry between maps and their inverses. Finally, maximality of generalised monotone maps is analysed.
Jean-Pierre Crouzeix, Andrew C. Eberhard, Daniel Ralph   +2 more
openaire   +3 more sources

On uniqueness of solutions to complex Monge–Ampère mean field equations

Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 3163-3180, October 2025.
Abstract We establish the uniqueness of solutions to complex Monge–Ampère mean field equations when (minus) the temperature parameter is small. In the local setting of bounded hyperconvex domains, our result partially confirms a conjecture by Berman and Berndtsson. Our approach also extends to the global context of compact complex manifolds.
Chinh H. Lu, Trong‐Thuc Phung
wiley   +1 more source

Dual Algebras and A-Measures

Journal of Function Spaces, 2014
Weak-star closures of Gleason parts in the spectrum of a function algebra are studied. These closures relate to the bidual algebra and turn out both closed and open subsets of a compact hyperstonean space.
Marek Kosiek, Krzysztof Rudol
doaj   +1 more source

Dirac–Schrödinger operators, index theory and spectral flow

Journal of the London Mathematical Society, Volume 112, Issue 4, October 2025.
Abstract In this article, we study generalised Dirac–Schrödinger operators in arbitrary signatures (with or without gradings), providing a general KK$\textnormal {KK}$‐theoretic framework for the study of index pairings and spectral flow. We provide a general Callias Theorem, which shows that the index (or the spectral flow, or abstractly the K ...
Koen van den Dungen
wiley   +1 more source

Locally pseudoconvex inductive limit of sequences of locally pseudoconvex algebras [PDF]

Banach Journal of Mathematical Analysis, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abel, Mati, María Pérez-Tiscareño, Reyna   +1 more
openaire   +2 more sources