Geodesic
An Integral Representation for the Product of Spectral Measures
Canadian journal of mathematics, Tome 20 (1968) no. 1, pp. 904-912

Voir la notice de l'article provenant de la source Cambridge University Press

Let be a Hilbert space with inner product (•, •) and let E(•) and E0(•) be spectral measures in corresponding to self-adjoint operators and . In this paper we consider the set function ƒ(I × J) = E(I)E0(J) defined on the semiring of bounded rectangles, and obtain an integral representation for this set function for disjoint I, J under the hypotheses that H — H0 is a type of Carleman operator. 
Derzko, N. A. An Integral Representation for the Product of Spectral Measures. Canadian journal of mathematics, Tome 20 (1968) no. 1, pp. 904-912. doi: 10.4153/CJM-1968-087-0
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