Spatial spectroscopic diagnostics of planetary nebulae. VI - Numerical properties of the integral kernel

Astronomy and Astrophysics – Astronomy

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Astronomical Spectroscopy, Fredholm Equations, Kernel Functions, Planetary Nebulae

Scientific paper

The numerical properties of the kernel function of the Fredholm integral equation of the first kind of spatial spectroscopic diagnostics of planetary nebulae are studied and briefly discussed. Samples of some kernel functions are shown as three-dimensional axonometric figures. A simple reason for inherent limitations of the regularization techniques used is given.

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