Results 51 to 60 of about 47,886 (213)

Stein manifolds M for which O(M) has the property Ω-tilda (Dedicated to Mikhail Mikhaylovich Dragilev on the occation of his 90th birthday) [PDF]

, 2013
In this note, we consider the linear topological invariant Ω-tilda for Fréchet spaces of global analytic functions on Stein manifolds. We show that O(M), for a Stein manifold M, enjoys the property Ω-tilda if and only if every compact subset of M lies ...
Aytuna, Aydın, Aytuna, Aydin
core   +1 more source

Noncritical holomorphic functions on Stein manifolds

Acta Mathematica, 2003
Acta Math, to appear. Remark 1. The foliation version of Theorem 4.1 was stated incorrectly in versions 1-3 of the preprint. Remark 2. Preprint versions 1-4 contained an informal statement (without proof) regarding the multi-parametric case of Theorem II.
openaire   +4 more sources

Familial genetic risk for posttraumatic stress disorder: Associations with clinical features

Journal of Traumatic Stress, EarlyView.
Abstract In the present study, the novel family genetic risk score (FGRS) method, a reliable quantification of latent genetic risk, was applied to posttraumatic stress disorder (PTSD) to examine associations between genetic liability and clinical features of PTSD among 3,097,180 individuals in the Swedish national registries.
Ananda B. Amstadter, Linda Abrahamsson, James E. Hart, Jan Sundquist, Kenneth S. Kendler, Kristina Sundquist   +5 more
wiley   +1 more source

A strong Oka principle for embeddings of some planar domains into CxC* [PDF]

, 2010
Gromov, in his seminal 1989 paper on the Oka principle, introduced the notion of an elliptic manifold and proved that every continuous map from a Stein manifold to an elliptic manifold is homotopic to a holomorphic map.
Ritter, Tyson
core  

Stein 4-manifolds and corks

, 2010
It is known that every compact Stein 4-manifolds can be embedded into a simply connected, minimal, closed, symplectic 4-manifold. By using this property, we discuss a new method of constructing corks. This method generates a large class of new corks including all the previously known ones. We prove that every one of these corks can knot infinitely many
Akbulut, Selman, Yasui, Kouichi
openaire   +2 more sources

Universal functions on Stein manifolds

Journal of the Mathematical Society of Japan, 2004
Let \(M\) be a Stein manifold with projective compactification \((X,Y)\), and let \(A\subset Y\) be a connected analytic subset. For a compact subset \(K\subset M\), we denote by \(\mathcal{A}(K)\) the set of all functions which are holomorphic in a neighborhood of \(K\). Define \(\| f\| _K:= \max_{x\in K}| f(x)| \), for any \(f\in \mathcal{O}(M)\) and
Abe Y., ZAPPA, Paolo
openaire   +4 more sources

Self‐Supervised Deep Learning Framework for Rician Distribution Based Denoising and Modeling of Multi‐b Prostate Diffusion MRI

Magnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose Convolutional neural networks (CNNs) are evaluated for improved and accelerated denoising and Rician bias correction in multi‐b DW images with simultaneous signal modeling. Methods Prostate diffusion images from 46 individuals acquired at 20 linearly distributed b‐values (bmax=2000s/mm2)$$ {b}_{\mathrm{max}}=2000\kern0.3em \mathrm{s}/{\
Mustafa Abbas, Wenyin Zhou, Stephan E. Maier, Fredrik Langkilde, Stefan Kuczera   +4 more
wiley   +1 more source

S-parabolic manifolds [PDF]

, 2011
A Stein manifold is called S-Parabolic in case there exits a special plurisubharmonic exhaustion function that is maximal outside a compact set. If a continuous special plurisubharmonic exits then we will call the manifold S*-Parabolic: In one ...
Aytuna, Aydın, Aytuna, Aydin, Sadullaev, Azimbay   +2 more
core  

Pseudoconvex domains spread over complex homogeneous manifolds

, 2012
Using the concept of inner integral curves defined by Hirschowitz we generalize a recent result by Kim, Levenberg and Yamaguchi concerning the obstruction of a pseudoconvex domain spread over a complex homogeneous manifold to be Stein.
A. Borel, A. Hirschowitz, A. Hirschowitz, A. Takeuchi, A.T. Huckleberry, B. Gilligan, Bruce Gilligan, C.O. Kiselman, Christian Miebach, D. Zaffran, F. Berteloot, F. Berteloot, J.J. Loeb, K. Oeljeklaus, K.H. Hofmann, K.T. Kim, Karl Oeljeklaus, P. Heinzner, R. Fujita, T. Ueda, W. Barth, W. Barth, Y. Matsushima, Y. Matsushima   +23 more
core   +3 more sources

Stein complements in compact Kähler manifolds

Mathematische Annalen
Given a projective or compact K hler manifold X and a (smooth) hypersurface Y, we study conditions under which $X \setminus Y$ could be Stein. We apply this in particular to the case when X is the projectivization of the so-called canonical extension of the tangent bundle $T_M$ of a projective manifold M with Y being the projectivization of $T_M ...
Andreas Höring, Thomas Peternell
openaire   +2 more sources