Venue
SMS Conference Room (via GoogleMeet)
Speaker
Manoj Kumar
Affiliation
IIT Delhi
Title
Harmonic analysis associated to vector measures on a compact group
It is well known that the Orlicz space is a natural generalization of the Lebesgue spaces. A vector measure is a countably additive Banach space valued measure. We discuss the Banach algebra structure on the Orlicz spaces associated to a vector measure over compact groups. We also discuss the Fourier transform of functions that are integrable with respect to vector measures over compact groups. We also introduce and study the convolution of functions from Lp-spaces associated to a vector measure.