Pseudodifferential calculus on compact Lie groups and homogeneous spaces

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dc.contributorAalto-yliopistofi
dc.contributorAalto Universityen
dc.contributor.authorTurunen, Ville 
dc.contributor.departmentDepartment of Engineering Physics and Mathematicsen
dc.contributor.departmentTeknillisen fysiikan ja matematiikan osastofi
dc.contributor.labInstitute of Mathematicsen
dc.contributor.labMatematiikan laitosfi
dc.date.accessioned2012-02-13T12:29:05Z
dc.date.available2012-02-13T12:29:05Z
dc.date.issued2001-11-09 
dc.description.abstractPseudodifferential 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.en
dc.description.versionrevieweden
dc.format.extent19, [68] 
dc.format.mimetypeapplication/pdf 
dc.identifier.isbn951-22-5694-0 
dc.identifier.issn0784-3143 
dc.identifier.urihttps://aaltodoc.aalto.fi/handle/123456789/2357
dc.identifier.urnurn:nbn:fi:tkk-003024 
dc.language.isoenen
dc.publisherHelsinki University of Technologyen
dc.publisherTeknillinen korkeakoulufi
dc.relation.haspartTurunen, 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. 
dc.relation.haspartTurunen, V.: Commutator characterization of periodic pseudodifferential operators. Z. Anal. Anw. 19 (2000), 95-108. [article2.pdf] © 2000 Heldermann Verlag. By permission. 
dc.relation.haspartTurunen, V.: Pseudodifferential calculus on compact Lie groups. Helsinki Univ. Techn. Inst. Math. Research Report A431. 2001. [article3.pdf] © 2001 by author. 
dc.relation.haspartTurunen, V.: Pseudodifferential calculus on compact homogeneous spaces. Helsinki Univ. Techn. Inst. Math. Research Report A436. 2001. [article4.pdf] © 2001 by author. 
dc.relation.ispartofseriesResearch reports / Helsinki University of Technology, Institute of Mathematics. Aen
dc.relation.ispartofseries440en
dc.subject.keywordpseudodifferential operatorsen
dc.subject.keywordLie groupsen
dc.subject.keywordhomogeneous spacesen
dc.subject.keywordnon-commutative Fourier analysisen
dc.subject.keywordSchwartz kernelsen
dc.subject.keywordoperator-valued symbolsen
dc.subject.keywordsymbol calculusen
dc.subject.keywordasymptotic expansionsen
dc.subject.keywordparametrixen
dc.subject.keywordcommutatorsen
dc.subject.keywordperiodic pseudodifferential operatorsen
dc.subject.keywordanalysis on sphereen
dc.subject.otherMathematicsen
dc.titlePseudodifferential calculus on compact Lie groups and homogeneous spacesen
dc.typeG5 Artikkeliväitöskirjafi
dc.type.dcmitypetexten
dc.type.ontasotVäitöskirja (artikkeli)fi
dc.type.ontasotDoctoral dissertation (article-based)en
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