AbstractWe introduce the notion ofessential angular derivativefor functionsφmapping the open unit diskUholomorphically into itself. After exploring some of its basic properties, we show how the essential angular derivative ofφdetermines the maximum growth rate of the Koenigs eigenfunctionσforφwhenφhas an attractive fixed point inU. Our work answers some questions about growth of Koenigs functions recently posed by Pietro Poggi-Corradini
Abstract. We prove a result, announced by F. Nazarov, L. Polterovich and M. Sodin in [NPS], that exh...
We characterize the defect measures of sequences of Laplace eigenfunctions with maximal L∞ growth. A...
We define a deterministic growth model which generalizes both the Gompertz and the Korf law in a fra...
AbstractWe introduce the notion ofessential angular derivativefor functionsφmapping the open unit di...
Abstract. We study the singular behavior of kth angular derivatives of ana-lytic functions in the un...
This thesis falls naturally into two distinct parts. Both come under the general heading of the theo...
We use the concept of angular derivative and the hyperbolic metric in the unit diskD, to study the d...
In this article, we consider the growth of solutions of higher-order linear differential equations ...
Abstract. The well-known Schwarz–Pick lemma states that any analytic mapping φ of the unit disk U in...
Abstract. The notion of the angular derivative of a holomorphic self-map b of the unit disk has been...
18 pagesInternational audienceWe study radial behavior of analytic and harmonic functions, which adm...
If a complex valued function on the unit disk has invariance in form, then it is separable into radi...
Abstract. For a given positive function φ defined in [0, 1) and 1 ≤ p < ∞, we consider the space ...
We consider functions f that are univalent in a plane angular domain of angle απ, 0 < α ≤ 2. It is p...
The principal question to be investigated is the character of a function harmonic and positive in a ...
Abstract. We prove a result, announced by F. Nazarov, L. Polterovich and M. Sodin in [NPS], that exh...
We characterize the defect measures of sequences of Laplace eigenfunctions with maximal L∞ growth. A...
We define a deterministic growth model which generalizes both the Gompertz and the Korf law in a fra...
AbstractWe introduce the notion ofessential angular derivativefor functionsφmapping the open unit di...
Abstract. We study the singular behavior of kth angular derivatives of ana-lytic functions in the un...
This thesis falls naturally into two distinct parts. Both come under the general heading of the theo...
We use the concept of angular derivative and the hyperbolic metric in the unit diskD, to study the d...
In this article, we consider the growth of solutions of higher-order linear differential equations ...
Abstract. The well-known Schwarz–Pick lemma states that any analytic mapping φ of the unit disk U in...
Abstract. The notion of the angular derivative of a holomorphic self-map b of the unit disk has been...
18 pagesInternational audienceWe study radial behavior of analytic and harmonic functions, which adm...
If a complex valued function on the unit disk has invariance in form, then it is separable into radi...
Abstract. For a given positive function φ defined in [0, 1) and 1 ≤ p < ∞, we consider the space ...
We consider functions f that are univalent in a plane angular domain of angle απ, 0 < α ≤ 2. It is p...
The principal question to be investigated is the character of a function harmonic and positive in a ...
Abstract. We prove a result, announced by F. Nazarov, L. Polterovich and M. Sodin in [NPS], that exh...
We characterize the defect measures of sequences of Laplace eigenfunctions with maximal L∞ growth. A...
We define a deterministic growth model which generalizes both the Gompertz and the Korf law in a fra...
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