Analysis on Homogeneous Groups

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dc.contributor.authorMichael Ruzhansky;
dc.contributor.authorDurvudkhan Suragan
dc.date.accessioned2025-08-12T10:04:18Z
dc.date.available2025-08-12T10:04:18Z
dc.date.issued2019
dc.description.abstractIn this chapter we provide preliminaries for the analysis on homogeneous groups to make the use of the monograph more self-sufficient. We make a selection of topics which will be playing a role in the subsequent analysis. Thus, we first discuss relevant properties of general Lie groups and algebras and then concentrate on properties of homogeneous groups required for our further analysis. Lastly, we introduce the notion of the Euler operator on homogeneous groups and establish its main properties.
dc.identifier.citationRuzhansky, M.; Suragan, D. (2019). Analysis on Homogeneous Groups. In: Hardy Inequalities on Homogeneous Groups, Progress in Mathematics, vol. 327, pp. 11–70. DOI: 10.1007/978-3-030-02895-4_1
dc.identifier.urihttps://nur.nu.edu.kz/handle/123456789/9181
dc.language.isoen
dc.subjecthomogeneous groups
dc.subjectLie groups
dc.subjectEuler operator
dc.subjectnilpotent Lie algebras
dc.subjectsub-Laplacian fundamentals
dc.titleAnalysis on Homogeneous Groups
dc.typeBook chapter

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