Banks and Governments: An Arial View

FINAL REPORT (Arial 22)

1

A Uni ed View on Filter Banks

An impressive variety of multirate lter banks evolved during the past twenty years. We present an algebraic approach that subsumes many concepts developed so far (e. g. multi lters, nonseparable multidimensional lter banks, cyclic lter banks, lter banks with values in nite elds, etc.). In our approach the signals and lters are viewed as elements of a group ring. We give necessary and su cient c...

FINAL REPORT (Arial 22)

On the Nature of Conflicts between Central Banks and National Governments in a Monetary Union

Output-growth and inflation differentials have been large and rather persistent since the beginning of the European Economic and Monetary Union. In the empirical literature, several fundamental causes of heterogeneities as regional productivity shocks and home-bias effects, and frictions as staggered-pricing and labor immobility are identified as causes for these differentials. In our model, we...

An Apophatic View of God and Creation

The English Dominican Herbert McCabe highlighted some ideas of Thomas Aquinas on the knowability of God and on creation, which can usefully challenge some widespread commonplaces. The purposes of this article are two: to present McCabe’s sophisticated doctrine on the knowability of God and on creation in a systematic way, and to put this doctrine into its historical context. In the scattered an...