Real Analysis: Measure Theory, Integration, and Hilbert Spaces
by Elias M. Stein, Rami Shakarchi · Elias M. Stein, Rami Shakarchi
Third volume of the Princeton Lectures in Analysis. It builds Lebesgue measure and integration, differentiation of integrals, Hilbert spaces, and abstract measure theory, connecting them to Fourier analysis and PDEs. Readers learn the modern integration framework behind functional and harmonic analysis.
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