An Lp Fourier analysis on symmetric spaces
نویسندگان
چکیده
منابع مشابه
Fourier Analysis on Semisimple Symmetric Spaces
A homogeneous space X = G/H of a connected Lie group G is called a symmetric homogeneous space if there exists an involution σ of G such that H lies between the fixed point group G and its identity component Go . Example 0. For a connected Lie group G′, put G = G′×G′, σ(g1, g2) ) = (g2, g1) and H = G. Then the homogeneous space X = G/H is naturally isomorphic to G′ by the map (g1, g2) 7→ g1g−1 ...
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Let G be a reductive group in the Harish-Chandra class e.g. a connected semisimple Lie group with finite center, or the group of real points of a connected reductive algebraic group defined over R. Let σ be an involution of the Lie group G, H an open subgroup of the subgroup of fixed points of σ. One decomposes the elements of L(G/H) with the help of joint eigenfunctions under the algebra of le...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 1982
ISSN: 0022-1236
DOI: 10.1016/0022-1236(82)90106-9