Consider a linear functional L defined on the space $${\mathcal {D}}[s]$$ of Dirichlet polynomials with real coefficients and set {D}}_+[s]$$ non-negative elements in {D}}[s].$$ An analogue Riesz–Haviland theorem this context asks: What are all -positive functionals L, which moment functionals? Since {D}}[s],$$ when considered as subspace $$C([0, \infty ), {\mathbb {R}}),$$ fails to be an adapt...

The Dirichlet problem is of central importance in both applied and abstract potential theory. We prove the (perhaps surprising) result that the existence of solutions in the general case is an essentially nonconstructive proposition: there is no algorithm which will actually compute solutions for arbitrary domains and boundary conditions. A corollary of our results is the non-existence of const...

tact, whereas those for a = 0.02 imply only 25% more frequent contacts than the all-ornone hypothesis but with rather high though rapidly diminishing attack rates. 10 Schuman and Doull, Amer. Jour. Pub. Health, 30, Supplement to March, 1940, p. 21, state: "From these estimates of carrier prevalence and froni the average annual increment in Shick-negatives, an estimate may be made of the number ...