Geodesic
Singular Integrals are Perron Integrals of a Certain Type
Canadian journal of mathematics, Tome 22 (1970) no. 2, pp. 260-264

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

In [7] a Perron-like integral was denned in an arbitrary topological space and many of its basic properties were established. In this paper we shall show (the theorem in § 2) that in a suitable setting the integral from [7] includes a class of so-called singular integrals, i.e., generalized forms of the Cauchy principal value of an integral. Thus, the powerful machinery of Perron integration, e.g., the monotone and dominant convergence theorems, can be automatically applied to these singular integrals. 
Pfeffer, W. F. Singular Integrals are Perron Integrals of a Certain Type. Canadian journal of mathematics, Tome 22 (1970) no. 2, pp. 260-264. doi: 10.4153/CJM-1970-034-8
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