Geodesic
Schwartz's integral for a class of functions which are regular in a denumerable-connected circular $\delta$-region
Matematičeskie zametki, Tome 12 (1972) no. 4, pp. 349-354 Cet article a éte moissonné depuis la source Math-Net.Ru

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We construct an expression which generalizes the familiar Schwartz expression to the case of a denumerable-connected circular $\delta$-region for which the centers of the boundary circles lie on a finite number of straight lines of the same bundle. Using this expression we can construct a regular and single-valued function of a sufficiently general form inside the region under consideration, from the values of its real part on the boundary of the region. 
@article{MZM_1972_12_4_a0,
     author = {L. E. Dunduchenko},
     title = {Schwartz's integral for a class of functions which are regular in a denumerable-connected circular $\delta$-region},
     journal = {Matemati\v{c}eskie zametki},
     pages = {349--354},
     year = {1972},
     volume = {12},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1972_12_4_a0/}
}
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L. E. Dunduchenko. Schwartz's integral for a class of functions which are regular in a denumerable-connected circular $\delta$-region. Matematičeskie zametki, Tome 12 (1972) no. 4, pp. 349-354. http://geodesic.mathdoc.fr/item/MZM_1972_12_4_a0/