Theoretical Statistics and Mathematics Unit, ISI Delhi

September 12, 2012 (Wednesday) ,
3:30 PM at Webinar

Speaker:
Debashish Bose,
Institute of Mathematical Sciences, Chennai

Title:
Structure of Spectral Pairs in 1-dimension

Abstract of Talk

A bounded measurable set $\Omega \subseteq
\mathbb{R}$, is called spectral if there is a set $\Lambda \subseteq
\mathbb{R}$ such that the exponential functions $e_\lambda(x) =
\exp(2\pi i \lambda x)$, $\lambda\in\Lambda$, form a complete
orthonormal system on $L^2(\Omega)$. Such a set $\Lambda$ is called a
spectrum of $\Omega$, and the pair $(\Omega,\Lambda)$ is called a
spectral pair.
Spectral sets have deep relation with Tiling problems.
I will talk about structure of spectral pairs in dimension-$1$.