Prof. Kristian Seip - Fourier interpolation with the zeros of the Riemann zeta function

The title of the lecture: “Fourier interpolation with the zeros of the Riemann zeta function”

Abstract: Originating in work of Radchenko and Viazovska, a new kind of Fourier analytic duality, known as Fourier interpolation, has recently been developed. I will discuss the underlying general duality principle and present a new construction associated with the non-trivial zeros of the Riemann zeta function, obtained in joint work Andriy Bondarenko and Danylo Radchenko. I will emphasize how the latter construction fits into the theory of the Riemann zeta function.