School of Mathematics: Recent submissions
Now showing items 281-300 of 393
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On a problem of H. Bohr
(Societe Royale des Sciences de Liege, 1991) -
A fixed-point theorem for holomorphic maps
(Royal Irish Academy, 1994)We consider the action on the maximal ideal space M of the algebra H of bounded analytic functions, induced by an analytic self?map of a complex manifold, X. After some general preliminaries, we focus on the question of ... -
Euromath system: alphabets and fonts
(Institute of Computational Technologies, 1997)We describe some of the principles behind the design of the Euromath system, concentrating on some aspects that are needed to explain how the system deals with alphabets and fonts and are not immediately apparent from a ... -
Computing the norms of elementary operators
(University of Illinois Press, 2003)We provide a direct proof that the Haagerup estimate on the completely bounded norm of elementary operators is best possible in the case of B(H) via a generalisation of a theorem of Stamp i. We show that for an elementary ... -
On local CR-transformation of Levi-degenerate group orbits in compact Hermitian symmetric spaces
(European Mathematical Society, 2006) -
The equivalence problem and rigidity for hypersurfaces embedded into hyperquadrics
(Duke University Press, 2005)Our main objective in this paper is to study the class of real hypersurfaces M ? Cn+1 which admit holomorphic (or formal) embeddings into the unit sphere (or, more generally, Levi-nondegenerate hyperquadrics) in CN+1 ... -
Approximation and convergence of formal CR-mappings
(Oxford University Press, 2003)Let M ? CN be a minimal real-analytic CR-submanifold and M? ? CN? a realalgebraic subset through points p ? M and p? ? M?. We show that that any formal (holomorphic) mapping f : (CN, p) ? (CN? , p?), sending M into M?, ... -
Holomorphic extension of smooth CR-mappings between real-analytic and real-algebraic CR-manifolds
(International Press, 2003)The classical Schwarz reflection principle states that a continuous map f between real-analytic curves M and M? in C that locally extends holomorphically to one side of M, extends also holomorphically to a neighborhood ... -
Extension of CR-functions on wedges.
(Springer, 2003)The celebrated Boggess-Polking theorem [BP82] extending classical results of Lewy [L56] states that all (continuous) CR-functions on a generic submanifold M in CN extend holomorphically to a wedge in the direction of the ... -
Finite jet determination of local analytic CR automorphisms and their parametrization by 2-jets in the finite type case.
(Geometric And Functional Analysis, 2003)We show that germs of local real-analytic CR automorphisms of a real-analytic hypersurface M in C2 at a point p ? M are uniquely determined by their jets of some finite order at p if and only if M is not Levi-flat near ... -
Equivalences of real submanifolds in complex space.
(null, International Press, 2001)We show that for any real-analytic submanifold M in CN there is a proper real-analytic subvariety V contained in M such that for any p ? M \ V , any real-analytic submanifold M? in CN, and any p? ? M?, the germs of the ... -
On symmetric Cauchy-Riemann manifolds
(Elsevier, 2000)The Riemannian symmetric spaces play an important role in different branches of mathematics. By definition, a (connected) Riemannian manifold M is called symmetric if, to every a ? M, there exists an involutory isometric ... -
Actions of groups of birationally extendible automorphisms
(World Science Publishing, 1996)The origin of this work is found in the study of automorphisms of domains D in Cn, n > 1. For example, suppose for the moment that D is relatively compact and recall that in this case the group Aut(D) of all holomorphic ... -
Domains of polyhedral type and boundary extensions of biholomorphisms
(1998)For D, D? analytic polyhedra in Cn, it is proven that a biholomorphic mapping f : D ! D? extends holomorphically to a dense boundary subset under certain condition of general position. This result is also extended to ... -
On the automorphism groups of algebraic bounded domains
(Springer, 1995) -
Remarks on the rigidity of CR-manifolds
(NUMDAM, 2006)A method is proposed to obtain examples of smooth CR-manifolds whose local stability group is neither a Lie group nor infinite-dimensional.
