Geodesic
Pseudo-Measure Energy and Spectral Synthesis
Canadian journal of mathematics, Tome 26 (1974) no. 4, pp. 985-1001

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

In this paper we develop a natural notion of continuous pseudo-measure and study the Stieltjes integral with respect to a given pseudo-measure. The common feature to these two topics is the essential appearance in both of integrals having the form Such integrals come about naturally when one defines the energy of distributions other than measures [6]. The reasons to study continuous pseudo-measures are to find properties analogous with those of continuous measures, and to discover more about the structure of pseudo-measures because of their importance in harmonic analysis, and particularly in spectral synthesis (e.g., [4; 15]). The Stieltjes integral with respect to a pseudo-measure is studied because of its intimate relation with spectral synthesis (e.g., §5); the key observations on this matter were initially made by Beurling [6]. 
Benedetto, John J. Pseudo-Measure Energy and Spectral Synthesis. Canadian journal of mathematics, Tome 26 (1974) no. 4, pp. 985-1001. doi: 10.4153/CJM-1974-092-3
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