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Jordy van Velthoven: Density theorems for discrete series restricted to lattices

Seminarium, GOAT (Grupp och operator-algebror träff)

Time: Thu 2022-03-10 11.00 - 12.00

Location: Kräftriket, House 5, Room 16

Lecturer: Jordy van Velthoven (TU Delft)

Abstract

The density theorem provides a trichotomy that precisely describes the reproducing properties of a given lattice orbit of a discrete series representation in terms of the lattice co-volume. An elementary proof based on frame and representation theory will be outlined. In addition, recent quantitative aspects of the density theorem for classes of Lie groups will be presented.