Abstract
In this chapter we develop the general background information relevant to the subsequent analysis. Part of the material consists of standard results which are summarized for later reference. A second part consists of the basic definitions of subelliptic operators and the related semigroups together with the description of some preliminary results which motivate the later analysis. Thirdly, we introduce several techniques adapted to the Lie group analysis. Since most of the reference material is quite standard it is summarized in formal statements without proof. Further details and specific references to the literature are, however, given in the Notes and Remarks at the end of the chapter.
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© 2003 Birkhäuser Boston
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Dungey, N., ter Elst, A.F.M., Robinson, D.W. (2003). General Formalism. In: Analysis on Lie Groups with Polynomial Growth. Progress in Mathematics, vol 214. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-2062-6_2
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DOI: https://doi.org/10.1007/978-1-4612-2062-6_2
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-3225-0
Online ISBN: 978-1-4612-2062-6
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