First cycle
degree courses
Second cycle
degree courses
Single cycle
degree courses
School of Science
MATHEMATICS
Course unit
HARMONIC ANALYSIS
SCL1001879, A.A. 2018/19

Information concerning the students who enrolled in A.Y. 2018/19

Information on the course unit
Degree course Second cycle degree in
MATHEMATICS
SC1172, Degree course structure A.Y. 2011/12, A.Y. 2018/19
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 HARMONIC ANALYSIS
Website of the academic structure http://matematica.scienze.unipd.it/2018/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 MASSIMO LANZA DE CRISTOFORIS MAT/05

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

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

Type of hours Credits Teaching
hours
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 25/02/2019
End of activities 14/06/2019

Examination board
Board From To Members of the board
7 Analisi Armonica - a.a. 2018/2019 01/10/2018 30/09/2019 LANZA DE CRISTOFORIS MASSIMO (Presidente)
LAMBERTI PIER DOMENICO (Membro Effettivo)
ANCONA FABIO (Supplente)
CIATTI PAOLO (Supplente)
MONTI ROBERTO (Supplente)
MUSOLINO PAOLO (Supplente)

Syllabus
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 unit 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 almost entirely covered by hand-outs. Then we also indicate some specific references.
Textbooks (and optional supplementary readings)
  • --, --. --: --, --. Dispense - Handouts