A Plancherel Theorem On a Noncommutative Hypergroup
Brou Kouakou Germain, Ibrahima Toure, Kinvi Kangni
International Journal of Analysis and Applications · 2022
doi:10.28924/2291-8639-20-2022-32 (opens in a new tab)
We email you when a new notice or a question about this paper appears.
Abstract
Let G be a locally compact hypergroup and let K be a compact sub-hypergroup of G. (G, K) is a Gelfand pair if Mc(G//K), the algebra of measures with compact support on the double coset G//K, is commutative for the convolution. In this paper, assuming that (G, K) is a Gelfand pair, we define and study a Fourier transform on G and then establish a Plancherel theorem for the pair (G, K).
Abstract licence: CC BY
Reads
Read by people on this page
None yet.
Checked or read by AI through naulon
None yet.
A person counts once a day per paper. We keep no cookie and no address: a reader is a hash that changes every day. Any month under five reads shows no number.
Are you an author?
Is this your paper?
Claim it to add your note and be paid when agents cite it. Free.