... profile

The Maxwellian profile of the velocity distribution is the first term of a series expansion in terms of Gauss-Hermite moments (van der Marel & Franx 1993; Gerhard 1993). See Sect. 3.2 of Paper I.

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... reads

The velocity components parallel to the line of sight are integrated out, and the subscript $\perp$ indicates the vectorial component in the plane orthogonal to the line of sight.

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