Abstract for the ISAAC talk 2017:
(still a motivation for THIS talk)


The idea of “Conceptual Harmonic Analysis” grew out of the
attempt to make objects arising in Fourier Analysis or Gabor
Analysis (such as norms of functions, their Fourier transforms, dual
Gabor atoms, etc.) computable. Using suitable function spaces
such as the Segal algebra S0(Rd) it should be possible to find
concrete algorithms which allow to compute approximations to the
desired on real hardware in finite time, up to (at least potentially)
arbitrary requested precision.
Going beyond the ideas of Abstract Harmonic Analysis, which only
allows to identify the analogies between objects on different
LCA (locally compact Abelian) groups G