Free Access
Issue
Math. Model. Nat. Phenom.
Volume 9, Number 5, 2014
Spectral problems
Page(s) 239 - 243
DOI https://doi.org/10.1051/mmnp/20149515
Published online 17 July 2014
  1. F. V. Atkinson. The normal solvability of linear equations in normed spaces (Russian). Mat. Sbornik N. S., 28 (1951), no. 70, 3–14. [MathSciNet] [Google Scholar]
  2. P. Boggiatto, E. Buzano, L. Rodino. Global Hypoellipticity and Spectral Theory. Akademie-Verlag, 1996. [Google Scholar]
  3. M. Cappiello, L. Rodino. SG-pseudo-differential operators and Gelfand–Shilov spaces. Rocky Mountain J. Math., 36 (2006), 1117-1148. [CrossRef] [MathSciNet] [Google Scholar]
  4. S. Coriasco, L. RodiCauchy problem for SG-hyperbolic equations with constant multipliers. no. Ricerche Mat. Suppl., XLVIII (1999), 25-43. [Google Scholar]
  5. A. Dasgupta, M. W. Wong. Spectral theory of SG pseudo-differential operators on Lp(ℝn). Studia Math., 187 (2008), 186–197. [CrossRef] [Google Scholar]
  6. Y. V. Egorov, B.-W. Schulze. Pseudo-Differential Operators, Singularities, Applications. Birkhäuser, 1997. [Google Scholar]
  7. V. V. Grushin. Pseudodifferential operators on ℝn with bounded symbols. Funct. Anal. Appl., 4 (1970), 202–212. [CrossRef] [Google Scholar]
  8. L. Hörmander. The Analysis of Linear Partial Differential Operators III: Pseudo-Differential Operators. Reprint of the 1994 Edition, Classics in Mathematics, Springer-Verlag, 2007. [Google Scholar]
  9. S. Molahajloo. A characterization of compact pseudo-differential operators on S1. in Pseudo-Differential Operators: Analysis, Applications and Computations, Operator Theory: Advances and Applications, Birkhäuser, 213 (2011), 25–29. [Google Scholar]
  10. S. Molahajloo, M. W. Wong. Ellipticity, Fredholmness and spectral invariance of pseudo-differential operators on S1. J. Pseudo-Differ. Oper. Appl, 1 (2010), 183–205. [CrossRef] [MathSciNet] [Google Scholar]
  11. F. Nicola. K-theory of SG-pseudo-differential algebras. Proc. Amer. Math. Soc., 131 (2003), 2841-2848. [CrossRef] [MathSciNet] [Google Scholar]
  12. M. Schechter. On the essential spectrum of an arbitrary operator I. J. Math. Anal. Appl., 13 (1966), 205–215. [CrossRef] [Google Scholar]
  13. M. Schechter. Spectra of Partial Differential Operators. Second Edition, North-Holland, 1986. [Google Scholar]
  14. F. Wolf. On essential spectrum of partial differential boundary problems. Comm. Pure Appl. Math., 12 (1959), 211-228. [CrossRef] [MathSciNet] [Google Scholar]
  15. M. W. Wong. An Introduction to Pseudo-Differential Operators. Second Edition, World Scientific, 1999. [Google Scholar]

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