A new approach to Abel's integral operator and its application to stellar winds

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Analytical Methods, Inverse Problems, Stellar Winds

Scientific paper

Inverse problems are prevalent in astrophysics and many methods were developed for the reconstruction of these ill-posed equations. We present a new method for inverting Abel's integral equation by explicit diagonalization of the related Volterra operator. This method is particularly suitable for determining the velocity laws of stellar winds. We test the method for different frequently used parameterizations of velocity laws of stellar winds.

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