Details of MA5103 (Autumn 2014)
Level: 5 | Type: Theory | Credits: 3.0 |
Course Code | Course Name | Instructor(s) |
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MA5103 | Introduction to Hardy space and shift operator | Shibananda Biswas |
Syllabus |
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Harmonic functions, Poisson Kernel, Poisson integral, mean
value property, The Hardy-Hilbert space, reproducing kernel, Fatou's theorem, shift operator, invariant and reducing subspaces, Beurling's theorem, inner and outer function, Blaschke products, singular inner functions, Herglotz representation theorem. |
References |
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Course Credit Options
Sl. No. | Programme | Semester No | Course Choice |
---|---|---|---|
1 | IP | 1 | Not Allowed |
2 | IP | 3 | Elective |
3 | MR | 1 | Not Allowed |
4 | MR | 3 | Not Allowed |
5 | MS | 9 | Elective |
6 | RS | 1 | Elective |
7 | RS | 2 | Not Allowed |