2026-09-26T04:35:23Zhttps://ubir.buffalo.edu/oai/request

oai:ubir.buffalo.edu:10477/868582025-07-15T19:45:34Zcom_10477_77914col_10477_86792

Generalized WO-models of Principal Series Representations of SO(2n) Mandava, Navya Teja; 0000-0002-4601-9925 Hundley, Joseph Mathematics mathematics Ph.D. Let G be a a split even orthogonal group. We consider generalized Whittaker-Orthogonal functionals. These are defined by generalizing the WO-functionals of [3] which are equivariant with respect to the product of a unipotent group and a smaller odd orthogonal group. We give explicit criteria for a principal series representation of G to support such a functional. **To request an accessible version of the file(s) associated with this item, contact library@buffalo.edu. Please include the item's persistent URL [http://hdl.handle.net/. . .] in your request.** 2025-02-25T23:23:31Z 2025-02-25T23:23:31Z 2020 2020-08-11 13:24:54 Text Dissertation http://hdl.handle.net/10477/86858 eng Users of works found in University at Buffalo Institutional Repository (UBIR) are responsible for identifying and contacting the copyright owner for permission to reuse. University at Buffalo Libraries do not manage rights for copyright-protected works and cannot assist with permissions. Copyright retained by author. application/pdf State University of New York at Buffalo