Titlebook: Compactifications of Symmetric Spaces; Yves Guivarc’h,Lizhen Ji,J. C. Taylor Book 1998 Birkhäuser Boston 1998 Algebra.Compactification.Fin

Palliation

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Geometrical Constructions of Compactifications, turns out that this sphere .(∞) at infinity may be given the structure of a simplicial complex Δ(.) (see Theorem 3.15 and Proposition 3.18) with respect to which it is a spherical Tits building (Definition 3.14). This is accomplished by identifying the sets of points in X(∞) stabilized by the various parabolic subgroups (see Proposition 3.9).

Eeg332

Integral Representation of Positive Eigenfunctions of Convolution Operators,hey are determined by using convolution equations (see Theorems 13.1, 13.23, and 13.28), a method first used by Furstenberg for semisimple Lie groups. This method is to used prove analogous results for convolution equations on a general class of groups that includes local field analogues of . as well as reductive Lie groups.

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Nibble

Norbert Spangenberg,Manfred Clemenz(., .) is a Gelfand pair. As a result it follows, see Corollary 12.9, that a bounded C.-function is harmonic if and only if it satisfies the mean-value property. This is not so easily proved as in Euclidean space because, if the rank of . is greater than one, . is not transitive on the geodesic spheres centered at ..

果仁

Book 1998 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 spac

Graduated

squander

HAIRY

Introduction,ious invariants are the Laplace—Beltrami operator . and the volume measure .. The operator — L acting on L.(.) is a non-negative operator and has a non-negative lower bound λ. to its spectrum. It is known (cf. Sullivan [S4], Taylor [T3, p. 131]) that, for λ ≤ λ 0, the operator . + λ . has positive g

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