Second Level Degree in Mathematics
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HARMONIC ANALYSIS - 6 CFU
Teacher
Massimo Lanza De Cristoforis
Scheduled Period
I Year - 2 Semester | 02/03/2020 - 12/06/2020
Hours: 48 (16 esercitazione, 32 lezione)
Prerequisites
Analysis courses of the first two years, and preferably the following courses
Real Analysis
Mathematical Methods
Functional Analysis 1
and the basic properties of harmonic functions, which will be anyway brushed up.
Target skills and knowledge
Theory of integal operators with singular and weakly singular kernel. Potential theory. Applications to boundary value problems for harmonic functions.
Examination methods
Partial tests and final oral exam
Assessment criteria
Evaluation of the knowledge of the candidate on each topic of the program
Course contents
Preliminaries on function spaces
Integral operators with weakly singular and singular kernel
Applications to the analysis of potentials
Elements of potential theory
Applications to boundary value problems for harmonic functions.
Planned learning activities and teaching methods
Theoretical exposition with exercises and examples
Additional notes about suggested reading
The course material is covered by hand-outs or references, which will be recommended.
Textbooks (and optional supplementary readings)
- , Dispense - Handouts