10 citations · 11 across the 7 of their papers we have counts for
4 papers · 1 filter
Dynamics of inner functions revisited
Jon Aaronson, Mahendra Nadkarni
We study the circle restrictions of inner functions of the unit disc showing that the local invertibility of a restriction is independent of its singularity set and proving a local…
On flat polynomials with non-Negative coefficients
e. H. el Abdalaoui, M. G. Nadkarni
We formulate and prove a necessary condition for a sequence of analytic trigonometric polynomials with real non-negative coefficients to be flat a.e.
A non-singular transformation whose spectrum has Lebesgue component of multiplicity one
E. H. El Abdalaoui, M. G. Nadkarni
In this note we give an example of an ergodic non-singular map whose unitary operator admits a Lebesgue component of multiplicity one in its spectrum.
Calculus of Generalized Riesz Products
e. H. el Abdalaoui, M. G. Nadkarni
In this paper we discuss generalized Riesz products bringing into consideration theory, the notion of Mahler measure, and the zeros of polynomials appearing in the generalize…