PMATH 450 – LEC 0.50 – Course ID: 007674 – Lebesgue Integration and Fourier Analysis

Lebesgue measure on the line, the Lebesgue integral, monotone and dominated convergence theorems, Lp-spaces: completeness and dense subspaces. Separable Hilbert space, orthonormal bases. Fourier analysis on the circle, Dirichlet kernel, Riemann-Lebesgue lemma, Fejer’s theorem and convergence of Fourier series. Prereq: PMATH 351 with a grade of at least of 60%; Not open to General Mathematics students.

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