Titlebook: Basic Real Analysis; Anthony W. Knapp Textbook 2005 Birkh?user Boston 2005 Compact space.Fourier series.Fourier transform.Lebesgue integra

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Integration on Locally Compact Spaces,the Borel sets, those generated by the compact sets..Sections 1–2 establish the basic theorem, the Riesz Representation Theorem, which says that any positive linear functional on the space C.(X) of continuous scalar-valued functions of compact support on the underlying space X is given by integratio