
FUNCTIONS OF SEVERAL COMPLEX VARIABLES
Second cycle degree in MATHEMATICS
Campus:
PADOVA
Language:
English
Teaching period:
First Semester
Lecturer:
LUCA BARACCO
Number of ECTS credits allocated:
6
Prerequisites:

Basics on functions of one complex variable, differential calculus, differential geometry. 
Examination methods:

oral examination. 
Course unit contents:

1. Real and complex differentials
2. Cauchy formula on polydiscs
3. Subharmonic functions
4. Separate analytic functions
5. Analytic functions and convergent power series
6. Levi form and H. Lewy's extension theorem
7. Logarithmic Superharmonicity, Continuity principle, Propagation of holomorphic extendibility
8. Domains of holomorphy end pseudoconvex domains
9. L2 estimates and Neumann problem 

