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For axioms in symmetric space, one has.
It is proven thatanyalgebraic symmetric space hasfinitemultiplicity.
Let be the symmetric space as in Example 2.2.
Then, is a symmetric space which satisfies (C.C).
If is a symmetric space than so (2.24) becomes (2.26).
Then, But Hence, the symmetric space does not satisfy (H.E).
Then, is a symmetric space which satisfies (H.E).
Actually a symmetric space need not be Hausdorff.
If is a symmetric space than and (2.1) becomes (2.3).
Let X = GH be an affine symmetric space.
They generalize the spherical functions of an ordered symmetric space.
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