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Pseudo-differential Operators on \( \mathbb{T}^n \)

  • Michael Ruzhansky
  • Ville Turunen
Part of the Pseudo-Differential Operators book series (PDO, volume 2)

Abstract

Pseudo-differential operators on the torus \( \mathbb{T}^n \) = ℝ n /ℤ n , or the periodic pseudo-differential operators, are studied next. The presentation is written in a way for a reader to be able to compare and to contrast it to the general theory of pseudo-differential operators on the Euclidean space from Chapter 2.

Keywords

Asymptotic Expansion Sobolev Space Bounded Linear Operator Fredholm Operator Continuous Linear Operator 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Verlag AG 2010

Authors and Affiliations

  • Michael Ruzhansky
    • 1
  • Ville Turunen
    • 2
  1. 1.Department of MathematicsImperial College LondonLondonUK
  2. 2.Institute of MathematicsHelsinki University of TechnologyFinland

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