43 research outputs found
Hilbert Spaces from Path Integrals
It is shown that a Hilbert space can be constructed for a quantum system
starting from a framework in which histories are fundamental. The Decoherence
Functional provides the inner product on this "History Hilbert space". It is
also shown that the History Hilbert space is the standard Hilbert space in the
case of non-relativistic quantum mechanics.Comment: 22 pages. Minor updates to match published versio
Weak representation of the cumulative hazard function under semiparametric random censorship models
Production Control in the Face of Storable Raw Material, Random Supply, and an Outside Market
Algebrability and nowhere Gevrey differentiability
We show that there exist c-generated algebras (and dense in C^infty([0,1])) every
nonzero element of which is a nowhere Gevrey diff erentiable function. This leads to results
of dense algebrability (and, therefore, lineability) of functions enjoying this property. In
the process of proving these results we also provide a new construction of nowhere Gevrey
di fferentiable functions