Normalizations of Eisenstein integrals for reductive symmetric spaces
Publication date
2017-04-01
Authors
van den Ban, E. P.
Kuit, Job
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Document Type
Article
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Abstract
We construct minimal Eisenstein integrals for a reductive symmetric space G/H as matrix coefficients of the minimal principal series of G. The Eisenstein integrals thus obtained include those from the \sigma-minimal principal series. In addition, we obtain related Eisenstein integrals, but with different normalizations. Specialized to the case of the group, this wider class includes Harish-Chandra's minimal Eisenstein integrals.
Keywords
Symmetric spaces, Eisenstein integrals, Principal series, Intertwining operators, Taverne
Citation
van den Ban, E P & Kuit, J 2017, 'Normalizations of Eisenstein integrals for reductive symmetric spaces', Journal of Functional Analysis, vol. 272, no. 7, pp. 2795 - 2864. https://doi.org/10.1016/j.jfa.2017.01.004