Linear Analysis and Representation Theory

Afrequentlycitedscholarlytext，thisunifiedtreatmentconstitutesanidealreferenceforgraduatemathstudentsandmathematicians.Itsclear，accurateformulationsofferarelativelyself-containedresourceforthosestudyinglocallycompactgroups，Liegroupsandalgebras，harmonicanalysis，andtherepresentationofgroups.
AnintroductorychapteronalgebrasandBanachalgebrasisfollowedbyasummaryoflinearfunctionalanalysisandexaminationsofspectraltheorem，stablesubspaces，andvonNeumannalgebras.SubsequentchaptersexploreelementaryrepresentationtheoryinHilbertspace;topologicalgroups，invariantmeasures，convolutions，andrepresentations;thebasictheoryofinducedrepresentations;andfundamentalsofthetheoryofrepresentationsofcompactgroups.ThefinalchaptersofferaconciseintroductiontothetheoryofLiealgebras，Liegroups，andtransformgroups.，