| Math 110a |
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| Analysis,
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| Fall 2014-15 | |
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Instructor: Vlad
Markovic, 364 Sloan, 626-395-4362,
markovic @ caltech.edu |
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| Topics:
This year, Ma 110a will do the basics of real and functional analysis,
Ma 110b the basics of complex analysis, and Ma 110c the basics of
harmonic analysis and operator theory. In 110a: integration theory and basic real analysis: topological spaces, Hilbert space basics, Fejer’s theorem, measure theory, measures as functionals, product measures, Lp-spaces, Baire category, Hahn- Banach theorem, Alaoglu’s theorem, Krein-Millman theorem, count- ably normed spaces, tempered distributions and the Fourier transform. |
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Textbooks This course will use the book ``Real and Complex Analysis" by W. Rudin and also an updated version of a draft book by Barry Simon on Real Analysis. You can place the order for Barry Simon's book with Stacey Croomes or Kristy Aubry in the Math Office. |
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