Add to ORKGIntroduction. There has been considerable recent work in constructing bounded analytic functions with level sets of infinite length. Belna and Piranian [3] constructed a Blaschke function with a level set of infinite length and Piranian and Weitsman [9] constructed a bounded analytic function with uncountably many level sets of infinite length. Jones [6] constructed a bounded analytic function all of whose level sets ar
AbstractWe prove that if f is a partial Borel function from one Polish space to another, then either...
© 2017 European Mathematical Society. We give conclusive answers to some questions about definabilit...
Abstract. We give a full description of the structure under inclusion of all finite level Borel clas...
In the paper we establish some conditions under which a given sequence of polynomials on a Banach sp...
Introduction. Given a topological space X and a real function f on X define Lf (X) = {x ∈ X: lim t→...
AbstractLet T be Takagiʼs continuous but nowhere-differentiable function. It is known that almost al...
1. Introduction. A compact subset Z of the complex plane C is said to be remou' able for bounde...
Part 6: Shape and Structural OptimizationInternational audienceIn this note a concept of ε-level set...
This research monograph concerns the Nevanlinna factorization of analytic functions smooth, in a sen...
The Takagi function τ: [0, 1] → [0, 1] is a continuous non-differentiable function constructed by T...
As surprising as it may seem, there exist infinitely differentiable functions which are nowhere anal...
In this paper necessary and sufficient conditions on a subset S of the unit disc D are given such th...
The Takagi function τ: [0, 1] → [0, 1] is a continuous non-differentiable function constructed by T...
This work is based on the article Analyticity Of Almost Everywhere Differentiable Functions, it will...
In this part of a series of two papers, we extend the theorems discussed in Part I for infinite seri...
AbstractWe prove that if f is a partial Borel function from one Polish space to another, then either...
© 2017 European Mathematical Society. We give conclusive answers to some questions about definabilit...
Abstract. We give a full description of the structure under inclusion of all finite level Borel clas...
In the paper we establish some conditions under which a given sequence of polynomials on a Banach sp...
Introduction. Given a topological space X and a real function f on X define Lf (X) = {x ∈ X: lim t→...
AbstractLet T be Takagiʼs continuous but nowhere-differentiable function. It is known that almost al...
1. Introduction. A compact subset Z of the complex plane C is said to be remou' able for bounde...
Part 6: Shape and Structural OptimizationInternational audienceIn this note a concept of ε-level set...
This research monograph concerns the Nevanlinna factorization of analytic functions smooth, in a sen...
The Takagi function τ: [0, 1] → [0, 1] is a continuous non-differentiable function constructed by T...
As surprising as it may seem, there exist infinitely differentiable functions which are nowhere anal...
In this paper necessary and sufficient conditions on a subset S of the unit disc D are given such th...
The Takagi function τ: [0, 1] → [0, 1] is a continuous non-differentiable function constructed by T...
This work is based on the article Analyticity Of Almost Everywhere Differentiable Functions, it will...
In this part of a series of two papers, we extend the theorems discussed in Part I for infinite seri...
AbstractWe prove that if f is a partial Borel function from one Polish space to another, then either...
© 2017 European Mathematical Society. We give conclusive answers to some questions about definabilit...
Abstract. We give a full description of the structure under inclusion of all finite level Borel clas...