Is there a term for asteroseismology as applied to giant planets? Giant planets such as Jupiter have oscillations which enable analyses using the techniques of asteroseismology, for example Gaulme et al. (2011) detected global modes on Jupiter via radial velocity measurements. Is there a specific term for this technique as applied to giant planets instead of stars?
Is there a specific term for this technique (asteroseismology) as applied to giant planets instead of stars?


No it seems there is not. 

Instead, people just use normal literal constructions.


"Seismology of Giant Planets""
"Jovian Seismology" and "giant planet seismology" or (your planet here) seismology in general
"Planetary normal-mode seismology"


A good example of the Fourier imaging technique is SYMPA:


SYMPA, a dedicated instrument for Jovian seismology I. Principle and performance
SYMPA, a dedicated instrument for Jovian seismology
II. Real performance and first results


JOVIAL is next-gen implementation, also from Earth: 


JOVIAL; Jovian Oscillations through radial Velocimetry ImAging observations at several Longitudes.
Jupiter’s interior: from gravimetry to seismology


note: after posting I realized that one of the linked papers is the same as in the OP"s question. I'll leave it here for completeness.