-bounded systems: common approach to Fisher-Micchelli's and Bernstein-Walsh's type problems.
-hyperelliptic compact nonorientable Klein surfaces without boundary.
Quadratic differentials and algebraic Cauchy transform
We discuss the representability almost everywhere (a.e.) in of an irreducible algebraic function as the Cauchy transform of a signed measure supported on a finite number of compact semi-analytic curves and a finite number of isolated points. This brings us to the study of trajectories of the particular family of quadratic differentials . More precisely, we give a necessary and sufficient condition on the complex numbers and for these quadratic differentials to have finite critical trajectories....
Quadratic differentials with prescribed singularities and pseudo-convex-Anosov diffeomorphisms.
Quadratic harmonic morphisms and O-systems
We introduce O-systems (Definition 3.1) of orthogonal transformations of , and establish correspondences both between equivalence classes of Clifford systems and those of O-systems, and between O-systems and orthogonal multiplications of the form , which allow us to solve the existence problems both for -systems and for umbilical quadratic harmonic morphisms simultaneously. The existence problem for general quadratic harmonic morphisms is then solved by the Splitting Lemma. We also study properties...
Quadratic Mean Radius of a Polynomial in C(Z)
* Dedicated to the memory of Prof. N. ObreshkoffA Schoenberg conjecture connecting quadratic mean radii of a polynomial and its derivative is verified for some kinds of polynomials, including fourth degree ones.
Quadrature formulas for rational functions.
Quadrilaterals and extremal quasiconformal extensions.
Quadruples and spatial quasiconformal mappings.
Quantitative versions of a result of Hecke in the theory of uniform distribution mod 1
Quasi Fricke Polygons and the Nielsen Convex Region.
Quasianalytic functions in the sense of Bernstein [Book]
Quasi-analyticity in Carleman ultraholomorphic classes
We give a characterization for two different concepts of quasi-analyticity in Carleman ultraholomorphic classes of functions of several variables in polysectors. Also, working with strongly regular sequences, we establish generalizations of Watson’s Lemma under an additional condition related to the growth index of the sequence.
Quasicircles modulo bilipschitz maps.
We give an explicit construction of all quasicircles, modulo bilipschitz maps. More precisely, we construct a class S of planar Jordan curves, using a process similar to the construction of the van Koch snowflake curve. These snowflake-like curves are easily seen to be quasicircles. We prove that for every quasicircle Γ there is a bilipschitz homeomorphism f of the plane and a snowflake-like curve S ∈ S with Γ = f(S). In the same fashion we obtain a construction of all bilipschitz-homogeneous Jordan...
Quasiconformal Analogues of a Theorem of Smirnov.
Quasiconformal and harmonic mappings between smooth Jordan domains.
Quasiconformal circles and Lipschitz classes.
Quasiconformal Concordance.
Quasiconformal deformations of holomorphic functions.
Quasiconformal dimensions of self-similar fractals.
The Sierpinski gasket and other self-similar fractal subsets of Rd, d ≥ 2, can be mapped by quasiconformal self-maps of Rd onto sets of Hausdorff dimension arbitrarily close to one. In R2 we construct explicit mappings. In Rd, d ≥ 3, the results follow from general theorems on the equivalence of invariant sets for iterated function systems under quasisymmetric maps and global quasiconformal maps. More specifically, we present geometric conditions ensuring that (i) isomorphic systems have quasisymmetrically...