Inhalt

[ TM1WKUESPEK ] UE Spectral theory and distributions

Versionsauswahl
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Workload Education level Study areas Responsible person Hours per week Coordinating university
3 ECTS B3 - Bachelor's programme 3. year Mathematics Johanna Penteker 2 hpw Johannes Kepler University Linz
Detailed information
Original study plan Bachelor's programme Technical Mathematics 2012W
Objectives (*)Konkrete Handhabung grundlegender Techniken der Spektraltheorie in Hilberträumen und der Distributionentheorie. Die Verbindung zur Fourier Analysis und Partiellen Differentialgleichungen, anhand des Laplaceoperators
Subject (*)Spektralsätze für kompakte Operatoren. Diffusionshalbgruppen, Spektraltheorie Elliptischer Operatoren, Distributionen, Temperierte Distributionen und Fourier Transformation. Hermite System, Eigenfunktionen des Laplace Operators
Criteria for evaluation
Study material Naoki Saito: Laplacian Eigenfunctions: Theory, Applications and Computations http://www.math.ucdavis.edu/~saito/lapeig/

Reed-Simon, Methods of Mathematical Physics, Bd 1,

                     (Functional Analysis) 

J. Cigler, Skriptum Distributionentheorie

Changing subject? No
On-site course
Maximum number of participants 25
Assignment procedure Direct assignment