{"year":"2022","citation":{"ama":"Kuit J, Sayag E. The most continuous part of the Plancherel decomposition for a real spherical space.","apa":"Kuit, J., &#38; Sayag, E. (n.d.). <i>The most continuous part of the Plancherel decomposition for a real spherical space</i>.","short":"J. Kuit, E. Sayag, (n.d.).","bibtex":"@article{Kuit_Sayag, title={The most continuous part of the Plancherel decomposition for a real spherical space}, author={Kuit, Job and Sayag, Eitan} }","mla":"Kuit, Job, and Eitan Sayag. <i>The Most Continuous Part of the Plancherel Decomposition for a Real Spherical Space</i>.","ieee":"J. Kuit and E. Sayag, “The most continuous part of the Plancherel decomposition for a real spherical space.” .","chicago":"Kuit, Job, and Eitan Sayag. “The Most Continuous Part of the Plancherel Decomposition for a Real Spherical Space,” n.d."},"publication_status":"submitted","title":"The most continuous part of the Plancherel decomposition for a real spherical space","date_updated":"2026-02-19T13:41:05Z","date_created":"2026-02-19T13:39:25Z","author":[{"first_name":"Job","last_name":"Kuit","full_name":"Kuit, Job"},{"first_name":"Eitan","full_name":"Sayag, Eitan","last_name":"Sayag"}],"abstract":[{"lang":"eng","text":"In this article we give a precise description of the Plancherel decomposition of the most continuous part of $L^{2}(Z)$ for a real spherical homogeneous space $Z$. Our starting point is the recent construction of Bernstein morphisms by Delorme, Knop, Krötz and Schlichtkrull. The most continuous part decomposes into a direct integral of unitary principal series representations. We give an explicit construction of the $H$-invariant functionals on these principal series. We show that for generic induction data the multiplicity space equals the full space of $H$-invariant functionals. Finally, we determine the inner products on the multiplicity spaces by refining the Maass-Selberg relations."}],"status":"public","type":"preprint","language":[{"iso":"eng"}],"_id":"64285","user_id":"52730"}