Outer kernel theorem for co-orbit spaces generated from localised frames

24.03.2023 09:45 - 11:15

Dimitri Bytchenkoff (Acoustics Research Institute)

I shall prove the so-called outer kernel theorem for bounded linear operators mapping the co-orbit space of test functions induced by a localised frame for a Hilbert space on the co-orbit space of distributions induced by a localised frame for another Hilbert space. The proof of the theorem relies on using Galerkin’s method to transform any given operator into a matrix, before synthesising the kernel of the operator from the matrix.  



K. Gröchenig, J. L. Romero and I. Shafkulovska
SR11 (second floor)