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                      | Detailed information |  
                      | Original study plan | Master's programme Mathematics for Natural Sciences 2012W |  
                      | Objectives | Mastering the basic techniques of 
Spectraltheory in Hilbert space,
of the Theory of Distributions  
with applications to PDE. |  
                      | Subject | Spectraltheory for compact Operators, 
Diffusion Semigroups,  Weyl Theory of 
Elliptic operators, tempered Distributions 
and Fourier Transforms Hermite expansions. |  
                      | Criteria for evaluation | Exam |  
                      | Methods | Real-, complex-, and 
Functionalanalysis |  
                      | Language | German |  
                      | 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
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                      | Changing subject? | No |  |