Mathematics BSc
Course description
2013.
Course description
2013.
Analysis 5
| Hours lect+pc |
Credits lect+pc |
Assessment | Specialization | Course code lect/pc |
Semester | Status |
|---|---|---|---|---|---|---|
| 2 + 0 | 2 + 0 | exam | applied. math. | mm1c1an5a | 5 | optional |
Course coordinator
- Péter Simon
| Strong | Weak | Prerequisites | |
|---|---|---|---|
| Lecture | |||
|
Strong:
Analysis4L-a
(mm1c1an4a)
| |||
Remarks
Syllabus designed by:
- Péter Simon, Department of Numerical Analysis, Faculty of Informatics.
Literature
- E. Hewitt, K. Stromberg: Real and abstract analysis. Springer Verlag, Berlin-Heidelberg-New York, 1969.
- A. C. Zaanen: Integration. North Holland Publ. Co., Amsterdam 1967.
Syllabus
- Singular measures, Lebesgue decomposition.
- Differentiation of measures.
- Differentiation of monotone functions and of absolute continuous functions. Integral functions.
- Decomposition of monotone functions. Lebesgue's density theorem.
- Hardy-Littlewood theory.
- Operator interpolation, Marcinkiewicz's theorems.
- The dual space of Lp.