Results 11 to 20 of about 13,765,551 (318)

Holomorphic mappings of complex spaces [PDF]

open access: yesProceedings of the American Mathematical Society, 1960
In ?3, we consider the existence of holomorphic maps with a given rank on complex spaces countable at infinity. We use the method given here to make a remark on an imbedding theorem for holomorphically complete spaces due to R. Remmert [4]. The author is indebted to Professor H.
R. Narasimhan
openaire   +2 more sources

On the Laplace–Beltrami operator on compact complex spaces [PDF]

open access: yesTransactions of the American Mathematical Society, 2017
Let ( X , h ) (X,h) be a compact and irreducible Hermitian complex space of complex dimension v > 1 v>1 . In this paper we show that the Friedrichs extension of both the Laplace–Beltrami operator and the Hodge–Kodaira ...
F. Bei
semanticscholar   +1 more source

The Jordan Property for Lie Groups and Automorphism Groups of Complex Spaces [PDF]

open access: yes, 2018
We prove that the family of all connected n-dimensional real Lie groups is uniformly Jordan for every n. This implies that all algebraic (not necessarily affine) groups over fields of characteristic zero and some transformation groups of complex spaces ...
V. Popov
semanticscholar   +1 more source

$L^2$-Serre duality on singular complex spaces and rational singularities [PDF]

open access: yes, 2014
In the present paper, we devise a version of topological $L^2$-Serre duality for singular complex spaces with arbitrary singularities. This duality is used to deduce various new $L^2$-vanishing theorems for the $\bar{\partial}$-equation on singular ...
J. Ruppenthal
semanticscholar   +1 more source

Explicit Serre duality on complex spaces [PDF]

open access: yes, 2014
In this paper we use recently developed calculus of residue currents together with integral formulas to give a new explicit analytic realization, as well as a new analytic proof, of Serre duality on any reduced pure n-dimensional paracompact complex ...
J. Ruppenthal   +2 more
semanticscholar   +1 more source

The Poletsky-Rosay theorem on singular complex spaces [PDF]

open access: yes, 2011
In this paper we extend the Poletsky-Rosay theorem, concerning plurisubharmonicity of the Poisson envelope of an upper semicontinuous function, to locally irreducible complex spaces.
B. D. Drnovšek, F. Forstnerič
semanticscholar   +1 more source

Quantum complex Minkowski space [PDF]

open access: yesJournal of Geometry and Physics, 2006
The complex Minkowski phase space has the physical interpretation of the phase space of the scalar massive conformal particle. The aim of the paper is the construction and investigation of the quantum complex Minkowski space.
Jakimowicz, Grzegorz, Odzijewicz, Anatol
openaire   +2 more sources

Isometries on extremely non-complex Banach spaces [PDF]

open access: yes, 2010
Given a separable Banach space $E$, we construct an extremely non-complex Banach space (i.e. a space satisfying that $\|Id + T^2\|=1+\|T^2\|$ for every bounded linear operator $T$ on it) whose dual contains $E^*$ as an $L$-summand.
Koszmider, Piotr   +2 more
core   +1 more source

Incidence Axioms for the Boundary at Infinity of Complex Hyperbolic Spaces

open access: yesAnalysis and Geometry in Metric Spaces, 2015
We characterize the boundary at infinity of a complex hyperbolic space as a compact Ptolemy space that satisfies four incidence axioms.
Buyalo Sergei, Schroeder Viktor
doaj   +1 more source

On complex L1-predual spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1987
This paper contains some characterisations of complex L-balls, including interpolation theorems which are analogs of Edward's separation theorem for simplices.
Mrinal Kanti Das
doaj   +1 more source

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