Chapter
        
        
            
                    
        Publicly Available
    
                
        
        
            
            
                
            
            
            
            
            
            
        
    
    
    Frontmatter
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        Aref Jeribi
        
 
Chapters in this book
- Frontmatter I
 - Preface VII
 - Contents IX
 - 1. Introduction 1
 - 2. Linear operators 19
 - 3. Basic notations and results 55
 - 4. Bases 85
 - 5. Semi-groups 133
 - 6. Discrete operator and denseness of the generalized eigenvectors 145
 - 7. Frames in Hilbert spaces 159
 - 8. Summability of series 191
 - 9. ν-convergence operators 201
 - 10. Γ-hypercyclic set of linear operators 231
 - 11. Analytic operators in Béla Szökefalvi-Nagy’s sense 241
 - 12. Bases of the perturbed operator T(ε) 257
 - 13. Frame of the perturbed operator T(ε) 275
 - 14. Perturbation method for sound radiation by a vibrating plate in a light fluid 289
 - 15. Applications to mathematical models 305
 - 16. Reggeon field theory 359
 - Bibliography 393
 - Index 403
 
Chapters in this book
- Frontmatter I
 - Preface VII
 - Contents IX
 - 1. Introduction 1
 - 2. Linear operators 19
 - 3. Basic notations and results 55
 - 4. Bases 85
 - 5. Semi-groups 133
 - 6. Discrete operator and denseness of the generalized eigenvectors 145
 - 7. Frames in Hilbert spaces 159
 - 8. Summability of series 191
 - 9. ν-convergence operators 201
 - 10. Γ-hypercyclic set of linear operators 231
 - 11. Analytic operators in Béla Szökefalvi-Nagy’s sense 241
 - 12. Bases of the perturbed operator T(ε) 257
 - 13. Frame of the perturbed operator T(ε) 275
 - 14. Perturbation method for sound radiation by a vibrating plate in a light fluid 289
 - 15. Applications to mathematical models 305
 - 16. Reggeon field theory 359
 - Bibliography 393
 - Index 403