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Cusp forms for reductive symmetric spaces of split rank one

For reductive symmetric spaces G/H of split rank one we identify a class of minimal parabolic subgroups for which certain cuspidal integrals of Harish-Chandra - Schwartz functions are absolutely convergent. Using these integrals we introduce a notion of cusp forms and investigate its relation with representations of the discrete series for G/H.

preprint2015arXivOpen access
Erik P. van den BanJob J. Kuit
math.RT
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Erik P. van den BanJob J. Kuit

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