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. 2017/18

Information concerning the students who enrolled in A.Y. 2017/18

Information on the course unit
Degree course Second cycle degree in
MATHEMATICS
SC1172, Degree course structure A.Y. 2011/12, A.Y. 2017/18
N0
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Degree course track GENERALE [010PD]
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/2017/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

Mutuated
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

Mode of delivery (when and how)
Period First semester
Year 1st Year
Teaching method frontal

Organisation of didactics
Type of hours Credits Hours of
teaching
Hours of
Individual study
Shifts
Practice 2.0 16 34.0 No turn
Lecture 4.0 32 68.0 No turn

Calendar
Start of activities 02/10/2017
End of activities 19/01/2018

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
Planned learning activities and teaching methods: English Classroom Lectures.
Textbooks (and optional supplementary readings)
  • L. Hormander, An introduction to complex analysis in several variables. --: North-Holland, 1990. Cerca nel catalogo
  • A. Boggess, CR manifolds and the tangential Cauchy-Riemann complex. --: CRC Press, 1991. Cerca nel catalogo
  • S.C. Chen, M.C. Shaw, Partial Differential Equations in several complex variables. --: AMS/IP, 2001. Cerca nel catalogo