Abstract
The compactifications of symmetric spaces defined by Satake [S1], referred to nowadays as Satake compactifications, were motivated by the theory of automorphic forms and of representations. Furstenberg [F3] considered boundary value problems at infinity for the Laplacian on symmetric spaces and was led to isomorphic compactifications, as was shown by Moore [M8]. While these two families of compactifications are isomorphic, they are defined by quite different methods.
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© 1998 Birkhäuser Boston
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Guivarc’h, Y., Ji, L., Taylor, J.C. (1998). The Satake-Furstenberg Compactifications. In: Compactification of Symmetric Spaces. Progress in Mathematics, vol 156. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-2452-5_4
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DOI: https://doi.org/10.1007/978-1-4612-2452-5_4
Publisher Name: Birkhäuser Boston
Print ISBN: 978-1-4612-7542-8
Online ISBN: 978-1-4612-2452-5
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