Advanced analysis

Dr. Jiahang Che

Mi. 8:30 - 10:00 in A5,6 C116

Fr.  8:30 - 10:00 in A5,6 C116

Tutorial:  Fr. 10:15-11:45 in B6 A204 

Content: This course will start with basic knowledge of real analysis, includes measure and integration, then we will go into some advanced topics in analysis, such as L^p spaces, distributions, the Fourier transform, Sobolev spaces and related inequalities. These are necessary knowledges in modern PDE theories and their applications (for example, in physics, biology and economy).

Language: English.

Prerequisites: Linear algebra I, Analysis I,II.

It is a master course, however, all bachelor students who have already "Analysis I and II" are welcome to join.


E. H. Lieb and M. Loss, Analysis, Graduate Studies in Mathematics, V. 14, American Mathematical Society Providence, Rhode Island, 2nd edition. 2001.

W. Rudin, Real and complex analysis. Third Edition.