IISER Mohali, Knowledge city, Sector 81, SAS Nagar, Manauli PO 140306

Positivity aspects of Dirichlet series

Prof. Sameer Chavan (IIT Kanpur)

Zoom Link

Location Online
In the first half of this talk, we discuss the space D[s] of finite Dirichlet series considered as a subspace of continuous functions on the nonnegative real line R+. Unlike the space of polynomials, D[s] fails to be an adapted space in the sense of Choquet. This causes an obstruction in identifying all positive linear functionals on D[s] as moment functionals (an analog of the so-called Riesz-Haviland Theorem). One solution (easier) to this problem can be based on a well-known one-point compactification technique in moment theory. Another solution (slightly harder) takes us to some interesting topics like log-moment sequences and Helson matrices.

In the second half, we focus on half-plane analog of the weighted Hardy spaces. The motivating example comes from the Riemann zeta function. We address the problem of finding members/multipliers of these spaces.

This talk forms a basis for a joint work with Chaman Kumar Sahu.

Meeting ID: 943 7403 6747
Passcode: 518065
Go to top