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Well posed solution of Schwarzschild integral equation and its application in statistical astronomy. (English) Zbl 0612.45007

It is proved the well-posedness in the Laurent Schwartz sense of an operator equation \(Ax=y\) where \(x\in X\) and \(y\in Y\) and where X,Y are Banach spaces. Applications are given to the determination of the star density through the investigation of the Schwarzschild equation in the convolution form.
Reviewer: G.Di.Blasio

MSC:

45N05 Abstract integral equations, integral equations in abstract spaces
45H05 Integral equations with miscellaneous special kernels
45L05 Theoretical approximation of solutions to integral equations
85A35 Statistical astronomy
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