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


Syllabus
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