Grid-like sets of stable sampling for the wavelet transform: An application of the oscillation method for continuous frames

12.12.2023 11:30 - 13:00

Nicki Holighaus (Acoustics Research Institute)

We will recall the oscillation method for continuous frames, which can be interpreted as a means to study sets of stable sampling by purely geometric arguments on the phase space, provided that the considered continuous frame is sufficiently well-behaved in a sense that will be specified during the talk. For reasons of accessibility, we will only consider Parseval (or 1-tight) continuous frames in this talk. We will then proceed to use the oscillation method to derive 2 types of grid-like discretization rules for the continuous wavelet transform, that serve as proof-of-concept of the usage of low discrepancy sequences for constructing sets of stable sampling for continuous frames. 

 

https://univienna.zoom.us/j/64895816787?pwd=L0tHVnBPUkJFQVVSR3Y2QnhVRXRGZz09

Organiser:
K. Gröchenig and I. Shafkulovska
Location:
SR10 (2st floor)