%0 Journal Article
%T Spherical Functions on Fuzzy Lie Group
%A Murphy E. Egwe
%A Samuel S. Sangodele
%J Advances in Pure Mathematics
%P 185-195
%@ 2160-0384
%D 2024
%I Scientific Research Publishing
%R 10.4236/apm.2024.144010
%X Let <i>G</i> be a locally compact Lie group and <img src="https://html.scirp.org//file/5302366-rId13.svg?20240402112528" /> its Lie algebra. We consider a fuzzy analogue of <i>G,</i> denoted by <img src="https://html.scirp.org//file/5302366-rId15.svg?20240402112528" /> called a fuzzy Lie group. Spherical functions on <img src="https://html.scirp.org//file/5302366-rId17.svg?20240402112528" /> are constructed and a version of the existence result of the Helgason-spherical function on <i>G</i> is then established on <img src="https://html.scirp.org//file/5302366-rId19.svg?20240402112528" />.
%K Fuzzy Spherical Function
%K Fuzzy Lie Group
%K Fuzzy Manifolds
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=132289