Access the full text.
Sign up today, get DeepDyve free for 14 days.
M. Cornalba, P. Griffiths (1975)
Analytic cycles and vector bundles on non-compact algebraic varietiesInventiones mathematicae, 28
L. Bungart (1968)
On analytic fiber bundles—I holomorphic fiber bundles with infinite dimensional fibersTopology, 7
H. Grauert (1958)
Analytische Faserungen über holomorph-vollständigen RäumenMathematische Annalen, 135
I. Gohberg, J. Leiterer (2009)
Holomorphic Operator Functions of One Variable and Applications: Methods from Complex Analysis in Several Variables
G. Henkin, J. Leiterer (1984)
Theory of Functions on Complex Manifolds
B. Berndtsson, J. Rosay (2003)
Quasi-isometric vector bundles and bounded factorization of holomorphic matricesAnnales de l'Institut Fourier, 53
I. Gohberg, L. Rodman (1981)
Analytic matrix functions with prescribed local dataJournal d’Analyse Mathématique, 40
D. Pompeiu (1910)
Sur les singularitÉs des fonctions analytiques uniformesRendiconti del Circolo Matematico di Palermo (1884-1940), 29
[It is well known that every holomorphic cocycle over a domain in the complex plane and with values in the group of invertible elements of a Banach algebra, which is sufficiently close to the unit cocycle, splits holomorphically. We prove this result with certain uniform estimates.]
Published: Jan 3, 2012
Keywords: Holomorphic cocycle; splitting of cocycles; uniform estimates
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.