The concept of symmetric space is of central importance in many
branches of mathematics. Compactifications of these spaces have
been studied from the points of view of representation theory,
geometry, and random walks. This work is devoted to the study of
the interrelationships among these various compactifications and,
in particular, focuses on the martin compactifications. It is the
first exposition to treat compactifications of symmetric spaces
systematically and to uniformized the various points of view. The
work is largely self-contained, with comprehensive references to
the literature. It is an excellent resource for both researchers
and graduate students.
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