The multiplier theory is still an important analytical tool in many macroeconomic textbooks. For example, a number of textbook authors use the theory to explain the process of growth in goods market by expanding the multiplier process into a geometric series, and thus obtain the route of economic growth. Then some students raise an interesting question: Can we induce the dynamics of the monetar...

Extending the Levy-Steinitz rearrangement theorem in Rn, which in turn extended Riemann’s theorem, Banaszczyk proved in 1990/93 that a metrizable, locally convex space is nuclear if and only if the domain of sums of every convergent series (i.e. the set of all elements in the space which are sums of a convergent rearrangement of the series) is a translate of a closed subspace of a special form....

We consider reproducing kernel Hilbert spaces of Dirichlet series with kernels of the form k(s, u) = ∑ ann −s−ū, and characterize when such a space is a complete Pick space. We then discuss what it means for two reproducing kernel Hilbert spaces to be “the same”, and introduce a notion of weak isomorphism. Many of the spaces we consider turn out to be weakly isomorphic as reproducing kernel Hil...