Abstract
We describe the spectral decomposition of certain spherical varieties of low rank, verifying a recent conjecture of Sakellaridis and Venkatesh in these cases.
To Nolan Wallach, with admiration and appreciation
The research of the first author is partially supported by NSF grant 0801071 and a startup grant from the National University of Singapore. The second author was supported by a Postdoctoral Research Fellowship at the National University of Singapore during the course of this work.
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Gan, W.T., Gomez, R. (2014). A conjecture of Sakellaridis–Venkatesh on the unitary spectrum of spherical varieties. In: Howe, R., Hunziker, M., Willenbring, J. (eds) Symmetry: Representation Theory and Its Applications. Progress in Mathematics, vol 257. Birkhäuser, New York, NY. https://doi.org/10.1007/978-1-4939-1590-3_7
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