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This is an archived course. A more recent version may be available at ocw.mit.edu.
Expanding a periodic function into its Fourier series. (Image by Prof. Richard Melrose.)
Prof. Richard Melrose
18.103
Spring 2004
Undergraduate
18.103 picks up where 18.100B (Analysis I) left off. Topics covered include the theory of the Lebesgue integral with applications to probability, Fourier series, and Fourier integrals.
OCW has published multiple versions of this subject. 
Richard Melrose. 18.103 Fourier Analysis - Theory and Applications, Spring 2004. (Massachusetts Institute of Technology: MIT OpenCourseWare), https://ocw.mit.edu (Accessed). License: Creative Commons BY-NC-SA
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