| Math 110c |
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| Analysis, I | |
| Spring 2008-09 | |
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11:00
MWF // 159 Sloan
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Instructor: Jonathan
Breuer, 272 Sloan, 395-4345, jbreuer@caltech.edu
Grader: Rostyslav Kozhan, 156 Sloan, 395-6805, rostysla@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 110c: Basic theory of tempered distributions. Maximal functions and the Hardy-Littlewood Maximal Theorem; the Maximal and Pointwise (Birkhoff) Ergodic Theorems. Harmonic and subharmonic functions on the disk. The basics of Hp spaces. As time allows, we shall also study elementary theory of Banach algebras and the spectral theorem. |
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Grading: Based on homework; no exams. Homework: There will be four homeworks due roughly every two weeks. They will definitely be longer than a one-week homework. Until one week before the homework is due, you may not collaborate but you may use any books. For the last week you may collaborate with others in the class or ask leading questions of the TA or Professor. As in the first two terms, the first three homeworks will have roughly equal weight and the last homework, which will have a three-week time period, will be longer and be worth somewhat more.Late homework policy: If you get a note from the Dean's Office (personal problems) or infirmary (medical problems) requesting a postponement, it will be honored. Otherwise, late homework will not be accepted EXCEPT ONE time (per term) you may email me PRIOR to the due time requesting an extension of up to one week and it will granted. |
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Required Text:
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