Ibort, A.Linares, P.Llavona, José G.2023-06-192023-06-192014-011139-113810.1007/s13163-013-0123-5https://hdl.handle.net/20.500.14352/33479Given a multi-index sequence necessary and sufficient conditions are given for the existence of a regular Borel polymeasure on the unit interval such that . This problem will be called the weak multilinear Hausdorff problemof moments for . Comparison with classical results will allow us to relate the weak multilinear Hausdorff problem with the multivariate Hausdorff problem. A solution to the strong multilinear Hausdorff problem of moments will be provided by exhibiting necessary and sufficient conditions for the existence of a Radon measure on such that where is the -linear moment functional on the space of continuous functions on the unit interval defined by the sequence . Finally the previous results will be used to provide a characterization of a class of weakly harmonizable stochastic processes with bimeasures supported on compact sets.engjournal articlehttp://link.springer.com/article/10.1007/s13163-013-0123-5http://www.springer.com/http://arxiv.org/pdf/1203.2967v1.pdfopen access517Problem of momentsMultilinear functionalsPolymeasuresSecond order stochastic processesÁlgebra1201 Álgebra