ThefirstcoverselementarypropertiesofLiegroups,thesecondcoversthegeneraltheoryofmeasuresonalocallycompactgroupandrepresentationingeneral,whilethefinalpartcontainsaconstructionofthecontinuoussumofHilbertspaces,decompositionofaunitaryrepresentationintoacontinuoussumofirreduciblerepresentationsandthePlancherelformula.
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The first covers elementary properties of Lie groups, the second covers the general theory of measures on a locally compact group and representation in general, while the final part contains a construction of the continuous sum of Hilbert spaces, decomposition of a unitary representation into a continuous sum of irreducible representations and the Plancherel formula.