Pseudodifferential calculus on compact Lie groups and homogeneous spaces
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Doctoral thesis (article-based)
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en
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19, [68]
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Research reports / Helsinki University of Technology, Institute of Mathematics. A, 440
Abstract
Pseudodifferential calculus is an important tool in the theory of elliptic linear partial differential equations. We introduce papers [I-IV], where pseudodifferential calculus is studied in the presence of a transitive group of symmetries for the underlying compact manifold.Description
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- Turunen, V. and Vainikko, G.: On symbol analysis of periodic pseudodifferential operators. Z. Anal. Anw. 17 (1998), 9-22. [article1.pdf] © 1998 Heldermann Verlag. By permission.
- Turunen, V.: Commutator characterization of periodic pseudodifferential operators. Z. Anal. Anw. 19 (2000), 95-108. [article2.pdf] © 2000 Heldermann Verlag. By permission.
- Turunen, V.: Pseudodifferential calculus on compact Lie groups. Helsinki Univ. Techn. Inst. Math. Research Report A431. 2001. [article3.pdf] © 2001 by author.
- Turunen, V.: Pseudodifferential calculus on compact homogeneous spaces. Helsinki Univ. Techn. Inst. Math. Research Report A436. 2001. [article4.pdf] © 2001 by author.