@article{1447474,
      recid = {1447474},
      author = {Kaashoek, M. A., and Verduyn Lunel, S. M.},
      title = {Completeness theorems and characteristic Matrix functions  : applications to integral and differential operators /},
      pages = {1 online resource (xvi, 350 pages) :},
      abstract = {This monograph presents necessary and sufficient  conditions for completeness of the linear span of  eigenvectors and generalized eigenvectors of operators that  admit a characteristic matrix function in a Banach space  setting. Classical conditions for completeness based on the  theory of entire functions are further developed for this  specific class of operators. The classes of bounded  operators that are investigated include trace class and  Hilbert-Schmidt operators, finite rank perturbations of  Volterra operators, infinite Leslie operators, discrete  semi-separable operators, integral operators with  semi-separable kernels, and period maps corresponding to  delay differential equations. The classes of unbounded  operators that are investigated appear in a natural way in  the study of infinite dimensional dynamical systems such as  mixed type functional differential equations, age-dependent  population dynamics, and in the analysis of the Markov  semigroup connected to the recently introduced zig-zag  process.},
      url = {http://library.usi.edu/record/1447474},
      doi = {https://doi.org/10.1007/978-3-031-04508-0},
}