Displaying 321 – 340 of 959

Showing per page

On fixed points of C 1 extensions of expanding maps in the unit disc

Roberto Tauraso (1994)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Using a result due to M. Shub, a theorem about the existence of fixed points inside the unit disc for C 1 extensions of expanding maps defined on the boundary is established. An application to a special class of rational maps on the Riemann sphere and some considerations on ergodic properties of these maps are also made.

On functions satisfying more than one equation of Schiffer type

J. Macura, J. Śladkowska (1993)

Annales Polonici Mathematici

The paper concerns properties of holomorphic functions satisfying more than one equation of Schiffer type ( D n -equation). Such equations are satisfied, in particular, by functions that are extremal (in various classes of univalent functions) with respect to functionals depending on a finite number of coefficients.

On generalized M * - groups.

Ikikardes, Sebahattin, Sahin, Recep (2010)

Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

On geometric convergence of discrete groups

Shihai Yang (2014)

Czechoslovak Mathematical Journal

One of the basic questions in the Kleinian group theory is to understand both algebraic and geometric limiting behavior of sequences of discrete subgroups. In this paper we consider the geometric convergence in the setting of the isometric group of the real or complex hyperbolic space. It is known that if Γ is a non-elementary finitely generated group and ρ i : Γ SO ( n , 1 ) a sequence of discrete and faithful representations, then the geometric limit of ρ i ( Γ ) is a discrete subgroup of SO ( n , 1 ) . We generalize this result by...

On global smoothness preservation in complex approximation

George A. Anastassiou, Sorin G. Gal (2002)

Annales Polonici Mathematici

By using the properties of convergence and global smoothness preservation of multivariate Weierstrass singular integrals, we establish multivariate complex Carleman type approximation results with rates. Here the approximants fulfill the global smoothness preservation property. Furthermore Mergelyan's theorem for the unit disc is strengthened by proving the global smoothness preservation property.

Currently displaying 321 – 340 of 959