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19992005
most citedA local smoothing estimate in higher dimensions

11 citations · 16 across the 5 of their papers we have counts for

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Showing 2000 · math.CAShow all

3 papers · 2 filters

math.CA2000

The spectral set conjecture and multiplicative properties of roots of polynomials

I. Laba

We obtain new partial results supporting the spectral set conjecture in dimension 1.

math.CA2000

An improved bound for the Minkowski dimension of Besicovitch sets in medium dimension

Izabella Laba, Terence Tao

We use geometrical combinatorics arguments, including the ``hairbrush'' and x-ray arguments of Wolff and the sticky/plany/grainy analysis of Katz, Laba, and Tao, to show that Besic…

math.CA2000

Fuglede's conjecture for a union of two intervals

I. Laba

We prove that a union of two intervals in R is a spectral set if and only if it tiles R by translations.