Inhalt
              
                
                  
                    [ 404ANACSTDV23 ]                                         VL                                         Spectral theory and distributions
                   | 
                 
                
                   | 
                  
                    
                                       | 
                 
                | Es ist eine neuere Version 2025W dieser LV im Curriculum Bachelor's programme Technical Mathematics 2025W vorhanden. |                  
                   | 
                 
                                
                                
                    | 
                  
                    
                      | Workload | 
                                            Education level | 
                      Study areas | 
                                            Responsible person | 
                                                                  Hours per week | 
                                            Coordinating university | 
                     
                    
                      | 4,5 ECTS | 
                                            
                      M - Master's programme | 
                      Mathematics | 
                                                                  
                          N.N                       | 
                                               
                                            3 hpw | 
                                            Johannes Kepler University Linz | 
                     
                    | 
                 
                
                   | 
                 
                                
                    | 
                  
                      
                      
                      
                      
                      
                      
                      
                        
    					  
    					  
  						
                    
                      | Detailed information | 
                     
                                
                    
                      | Original study plan | 
                      Master's programme Computational Mathematics 2023W | 
                     
                      
                    
                      | 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 | 
                      English | 
                     
                      
                    
                      | 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 | 
                      - | 
                          
                    
                      | Assignment procedure | 
                      Direct assignment | 
                     
                    
                     
                    
                    
                     | 
                 
                                
                                
                                
                               
              | 
            
                   
       
     |