Laplace transform in astronomy

The Laplace transform is a really powerful tool for processing and filtering data comprising of signals. A paper called On the interpretation of continuum flux observations from thermal radio source which was published in the Monthly Notices of the Royal Astronomical Society in 1974 discusses how to deduce the distribution of surface brightness of astronomical bodies from the spectrum of its total flux density by evaluating an inverse Laplace transform.

Read the paper here: https://academic.oup.com/mnras/article-lookup/doi/10.1093/mnras/167.3.493

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