Details of MA5103 (Autumn 2014)

Level: 5 Type: Theory Credits: 3.0

Course CodeCourse NameInstructor(s)
MA5103 Introduction to Hardy space and shift operator Shibananda Biswas

Syllabus
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

Course Credit Options

Sl. No.ProgrammeSemester NoCourse 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