Add to ORKGIn this paper the orthogonality properties of iterated polynomials are shown to remain valid in some cases for rational maps. Using a functional equation fulfilled by the generating function, the author shows that the Hausdorff dimension of the maximal measure is a real analytical function of the coefficients of an Axiom A rational map satisfying the property that all poles of ƒ and zeros of ƒ’(z) have multiplicity one
AbstractLet the polynomialsPn(x),n⩾1, be defned byP0(x)=0,P1(x)=1,anPn+1(x)+an−1Pn−1(x)+bnPn(x)=xPn(...
We explain the notion of multiple orthogonal polynomials (polyorthogonal polynomials), which is clos...
AbstractSuppose that m(ξ) is a trigonometric polynomial with period 1 satisfying m(0) = 1 and ∣m(ξ)∣...
In this paper the orthogonality properties of iterated polynomials are shown to remain valid in some...
We give a brief survey to some basic elements of the theory of orthogonal rational functions. Two ma...
We shall consider nested spaces L_n, n=0,1,2,... of rational functions with n prescribed poles outsi...
In this paper we extend Shishikura's result on the Hausdorff dimension of the boundary of the Mandel...
We shall consider nested spaces L_n, n = 0, 1, 2, . . . of rational functions with n prescribed pole...
. We explain the notion of multiple orthogonal polynomials (polyorthogonal polynomials), which is cl...
AbstractGiven two finite sets of real points {zn,j}j=1n and {zn+1,j}j=1n+1 satisfying the interlacin...
We give a brief survey to some basic elements of the theory of orthogonal rational functions. Two ma...
AbstractIn this paper we study measures and orthogonal polynomials with asymptotically periodic refl...
We give formulas and effective sharp bounds for the degree of multi-graded rational maps and provide...
We compute the Hausdorff dimension of sets of very well approximable vectors on rational quadrics. W...
AbstractThe problem is to determine all nonnegative measures on the Borel subsets of the complex pla...
AbstractLet the polynomialsPn(x),n⩾1, be defned byP0(x)=0,P1(x)=1,anPn+1(x)+an−1Pn−1(x)+bnPn(x)=xPn(...
We explain the notion of multiple orthogonal polynomials (polyorthogonal polynomials), which is clos...
AbstractSuppose that m(ξ) is a trigonometric polynomial with period 1 satisfying m(0) = 1 and ∣m(ξ)∣...
In this paper the orthogonality properties of iterated polynomials are shown to remain valid in some...
We give a brief survey to some basic elements of the theory of orthogonal rational functions. Two ma...
We shall consider nested spaces L_n, n=0,1,2,... of rational functions with n prescribed poles outsi...
In this paper we extend Shishikura's result on the Hausdorff dimension of the boundary of the Mandel...
We shall consider nested spaces L_n, n = 0, 1, 2, . . . of rational functions with n prescribed pole...
. We explain the notion of multiple orthogonal polynomials (polyorthogonal polynomials), which is cl...
AbstractGiven two finite sets of real points {zn,j}j=1n and {zn+1,j}j=1n+1 satisfying the interlacin...
We give a brief survey to some basic elements of the theory of orthogonal rational functions. Two ma...
AbstractIn this paper we study measures and orthogonal polynomials with asymptotically periodic refl...
We give formulas and effective sharp bounds for the degree of multi-graded rational maps and provide...
We compute the Hausdorff dimension of sets of very well approximable vectors on rational quadrics. W...
AbstractThe problem is to determine all nonnegative measures on the Borel subsets of the complex pla...
AbstractLet the polynomialsPn(x),n⩾1, be defned byP0(x)=0,P1(x)=1,anPn+1(x)+an−1Pn−1(x)+bnPn(x)=xPn(...
We explain the notion of multiple orthogonal polynomials (polyorthogonal polynomials), which is clos...
AbstractSuppose that m(ξ) is a trigonometric polynomial with period 1 satisfying m(0) = 1 and ∣m(ξ)∣...