{"user_id":"37390","extern":"1","abstract":[{"lang":"eng","text":"AbstractIfGis a closed subgroup of a commutative hypergroupK, then the coset spaceK/Gcarries a quotient hypergroup structure. In this paper, we study related convolution structures onK/Gcoming fromdeformations of the quotient hypergroup structure by certain functions onKwhich we call partial characters with respect toG. They are usually not probability-preserving, but lead to so-called signed hypergroups onK/G. A first example is provided by the Laguerre convolution on [0, ∞[, which is interpreted as a signed quotient hypergroup convolution derived from the Heisenberg group. Moreover, signed hypergroups associated with the Gelfand pair (U(n, 1),U(n)) are discussed."}],"volume":51,"date_created":"2023-01-26T08:27:14Z","status":"public","publication":"Canadian Journal of Mathematics","keyword":["General Mathematics"],"publisher":"Canadian Mathematical Society","author":[{"first_name":"Margit","full_name":"Rösler, Margit","last_name":"Rösler","id":"37390"},{"last_name":"Voit","first_name":"Michael","full_name":"Voit, Michael"}],"issue":"1","_id":"40192","intvolume":" 51","page":"96-116","citation":{"ieee":"M. Rösler and M. Voit, “Partial Characters and Signed Quotient Hypergroups,” Canadian Journal of Mathematics, vol. 51, no. 1, pp. 96–116, 1999, doi: 10.4153/cjm-1999-006-6.","short":"M. Rösler, M. Voit, Canadian Journal of Mathematics 51 (1999) 96–116.","bibtex":"@article{Rösler_Voit_1999, title={Partial Characters and Signed Quotient Hypergroups}, volume={51}, DOI={10.4153/cjm-1999-006-6}, number={1}, journal={Canadian Journal of Mathematics}, publisher={Canadian Mathematical Society}, author={Rösler, Margit and Voit, Michael}, year={1999}, pages={96–116} }","mla":"Rösler, Margit, and Michael Voit. “Partial Characters and Signed Quotient Hypergroups.” Canadian Journal of Mathematics, vol. 51, no. 1, Canadian Mathematical Society, 1999, pp. 96–116, doi:10.4153/cjm-1999-006-6.","chicago":"Rösler, Margit, and Michael Voit. “Partial Characters and Signed Quotient Hypergroups.” Canadian Journal of Mathematics 51, no. 1 (1999): 96–116. https://doi.org/10.4153/cjm-1999-006-6.","ama":"Rösler M, Voit M. Partial Characters and Signed Quotient Hypergroups. Canadian Journal of Mathematics. 1999;51(1):96-116. doi:10.4153/cjm-1999-006-6","apa":"Rösler, M., & Voit, M. (1999). Partial Characters and Signed Quotient Hypergroups. Canadian Journal of Mathematics, 51(1), 96–116. https://doi.org/10.4153/cjm-1999-006-6"},"type":"journal_article","year":"1999","title":"Partial Characters and Signed Quotient Hypergroups","publication_status":"published","publication_identifier":{"issn":["0008-414X","1496-4279"]},"department":[{"_id":"555"}],"doi":"10.4153/cjm-1999-006-6","date_updated":"2023-01-26T17:51:42Z","language":[{"iso":"eng"}]}