A. Sitaram

collaborators

2 papers

math.FA2010

Lacunary Fourier series and a qualitative uncertainty principle for compact Lie groups

E K Narayanan, A Sitaram

We define lacunary Fourier series on a compact connected semisimple Lie group $G$ . If $f \in L^{1} (G)$ has lacunary Fourier series, and vanishes on a non empty open set, then we prov…

math.FA2009

Analogues of the Wiener-Tauberian and Schwartz theorems for radial functions on symmetric spaces

E. K. Narayanan, A. Sitaram

We prove a Wiener-Tauberian theorem for $L^{1}$ -spherical functions on a semisimple Lie group of arbitrary real rank. We also establish a Schwartz theorem for complex groups. As a co…