Rankin–Selberg periods for spherical principal series
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DOI: 10.1007/s00229-021-01295-6
Abstract: By the unfolding method, Rankin-Selberg L-functions for ${\rm GL}(n)\times{\rm GL}(m)$ can be expressed in terms of period integrals. These period integrals actually define invariant forms on tensor products of the relevant automorphic representations. By the… read more here.
Keywords: rankin selberg; spherical principal; principal series; invariant forms ... See more keywords
Whittaker functions for generalized principal series representations of GSp(2,R)
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DOI: 10.1016/j.jfa.2018.09.011
Abstract: Abstract We study Whittaker functions for generalized principal series representations of GSp ( 2 , R ) induced from Siegel parabolic subgroup. We give Mellin–Barnes type integral representations of Whittaker functions belonging to certain K-types.… read more here.
Keywords: generalized principal; principal series; functions generalized; whittaker functions ... See more keywords