activity
20032023
most citedA non-singular transformation whose spectrum has Lebesgue component of multiplicity one

10 citations · 11 across the 7 of their papers we have counts for

collaborators

8 papers

math.DS2023

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…

math.NT2016

A class of Littlewood polynomials that are not -flat

E. H. el Abdalaoui, M. G. Nadkarni

We exhibit a class of Littlewood polynomials that are not -flat for any . Indeed, it is shown that the sequence of Littlewood polynomials is not -flat, …

math.DS2015★ 1 cited

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.

math.DS2014★ 10 cited

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.

math.DS2013

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…

math.GM2008

On the number of extreme measures with fixed marginals

M. G. Nadkarni, K. Gowri Navada

In this paper we give an improved upper bound, as compared to the one given in [3] for the number of extreme points of the convex set of all G-invariant probability measures on X*Y…