## Department of Mathematics

Indian Institute Of Technology Madras , Chennai

### Special Seminar Talk: Completeness of discrete translates of a function

#### Abstract :

The classical Wiener's Tauberian theorem states that the system of all translations of a function in the Lebesgue space $L^1(R)$ is dense if and only if its Fourier transform is non vanishing on R. A similar characterization is true for the Lebesgue space of square-integrable functions $L^2(R)$. However, this is not true in general Lebesgue space $L^p(R)$. In this talk, we will discuss the completeness property of the system generated by discrete translations of a function. This is joint work with Ms. Bhawna Dharra.

Key Speaker Dr. S. Sivananthan, Department of Mathematics, Indian Institute of Technology Delhi
Place NAC 522
Start Time 3:00 PM
Finish Time 4:00 PM