Span of translates in L^p(R), and zeros of Fourier transform
Speaker:
Nir Lev, Tel-Aviv University
Date and Time:
Thursday, January 10, 2008 - 2:00pm to 2:30pm
Location:
Fields Institute, Room 230
Abstract:
A function f ∈ Lp(R) is called a generator if the set of all translates of f spans the whole space Lp(R). We discuss recent progress in the problem of characterization of generators in terms of zeros of the Fourier transform. This subject is closely related to a problem of uniqueness for trigonometric series. Joint work with A. Olevskii.
