First cycle
degree courses
Second cycle
degree courses
Single cycle
degree courses
School of Science
MATHEMATICS
Course unit
FUNCTIONS OF SEVERAL COMPLEX VARIABLES
SCN1037792, A.A. 2019/20

Information concerning the students who enrolled in A.Y. 2019/20

Information on the course unit
Degree course Second cycle degree in
MATHEMATICS
SC1172, Degree course structure A.Y. 2011/12, A.Y. 2019/20
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Degree course track ALGANT [001PD]
Number of ECTS credits allocated 6.0
Type of assessment Mark
Course unit English denomination FUNCTIONS OF SEVERAL COMPLEX VARIABLES
Website of the academic structure http://matematica.scienze.unipd.it/2019/laurea_magistrale
Department of reference Department of Mathematics
Mandatory attendance No
Language of instruction English
Branch PADOVA
Single Course unit The Course unit can be attended under the option Single Course unit attendance
Optional Course unit The Course unit can be chosen as Optional Course unit

Lecturers
Teacher in charge LUCA BARACCO MAT/05

Mutuating
Course unit code Course unit name Teacher in charge Degree course code
SCN1037792 FUNCTIONS OF SEVERAL COMPLEX VARIABLES LUCA BARACCO SC1172

ECTS: details
Type Scientific-Disciplinary Sector Credits allocated
Core courses MAT/05 Mathematical Analysis 6.0

Course unit organization
Period First semester
Year 1st Year
Teaching method frontal

Type of hours Credits Teaching
hours
Hours of
Individual study
Shifts
Practice 3.0 24 51.0 No turn
Lecture 3.0 24 51.0 No turn

Calendar
Start of activities 30/09/2019
End of activities 18/01/2020
Show course schedule 2019/20 Reg.2011 course timetable

Syllabus
Prerequisites: Integral and differential calculus in several variables.
Target skills and knowledge: Knowledge of the basic properties of holomorphic functions in several variables. In particular learning the techniques for dealing with such functions.
Examination methods: Oral exam
Assessment criteria: Knowledge of the topics exposed in class.
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
Planned learning activities and teaching methods: lectures and tutorials
Textbooks (and optional supplementary readings)
  • Giuseppe Zampieri, Complex analysis and CR Geometry. --: American Math. Soc., 2008. Cerca nel catalogo