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dc.contributor.authorDeitmar, Anton ( )
dc.date.accessioned2019-12-12T19:54:28Z
dc.date.available2019-12-12T19:54:28Z
dc.date.issued2000-09-01
dc.identifier.citationDeitmar, A. (2000). Differential operators on equivariant vector bundles over symmetric spaces. Electronic Journal of Differential Equations, 2000(59), pp. 1-8.en_US
dc.identifier.issn1072-6691
dc.identifier.urihttps://digital.library.txstate.edu/handle/10877/9061
dc.description.abstractGeneralizing the algebra of motion-invariant differential operators on a symmetric space we study invariant operators on equivariant vector bundles. We show that the eigenequation is equivalent to the corresponding eigenequation with respect to the larger algebra of all invariant operators. We compute the possible eigencharacters and show that for invariant integral operators the eigencharacter is given by the Abel transform. We show that sufficiently regular operators are surjective, i.e. that equations of the form D ƒ = u are solvable for all u.en_US
dc.formatText
dc.format.extent10 pages
dc.format.medium1 file (.pdf)
dc.language.isoenen_US
dc.publisherSouthwest Texas State University, Department of Mathematicsen_US
dc.sourceElectronic Journal of Differential Equations, 2000, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectInvariant operatorsen_US
dc.titleDifferential Operators on Equivariant Vector Bundles Over Symmetric Spacesen_US
dc.typepublishedVersion
txstate.documenttypeArticle
dc.rights.licenseCreative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
dc.description.departmentMathematics


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