Geodesic
Harmonic analysis on reductive Lie groups
Itogi nauki i tehniki. Seriâ, Matematičeskij analiz, Tome 17 (1979), pp. 207-269.

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This is a survey on harmonic analysis on real reductive Lie groups for the period 1950–1978. Contained is a description of the fundamental series of representations of a reductive group $G$, the theory of characters, a description of the Plancherel measure, a description of dual spaces with respect to the Fourier transform on $G$, the classification of irreducible representations of the group $G$, questions of harmonic analysis on symmetric spaces of noncompact type. 
@article{INTM_1979_17_a2,
     author = {D. P. Zhelobenko},
     title = {Harmonic analysis on reductive {Lie} groups},
     journal = {Itogi nauki i tehniki. Seri\^a, Matemati\v{c}eskij analiz},
     pages = {207--269},
     publisher = {mathdoc},
     volume = {17},
     year = {1979},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTM_1979_17_a2/}
}
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D. P. Zhelobenko. Harmonic analysis on reductive Lie groups. Itogi nauki i tehniki. Seriâ, Matematičeskij analiz, Tome 17 (1979), pp. 207-269. http://geodesic.mathdoc.fr/item/INTM_1979_17_a2/