MATH 455 Honours Analysis 4 (3 credits)

Overview

Mathematics & Statistics (Sci) : Review of point-set topology: topological spaces, dense sets, completeness, compactness, connectedness and path-connectedness, separability, Baire category theorem, Arzela-Ascoli theorem, Stone-Weierstrass theorem..Functional analysis: L^p spaces, linear functionals and dual spaces, Hilbert spaces, Riesz representation theorems. Fourier series and transform, Riemann-Lebesgue Lemma,Fourier inversion formula, Plancherel theorem, Parseval’s identity, Poisson summation formula.

Terms: Winter 2025

Instructors: Lin, Jessica (Winter)

• Prerequisite: MATH 454 or equivalent.

• Restriction(s): Not open to students who have taken MATH 355.