Abstract
The purpose of this paper is to prove that if on a commutative hypergroup an exponential monomial has the property that the linear subspace of all sine functions in its variety is one dimensional, then this exponential monomial is a linear combination of generalized moment functions.
Highlights
A hypergroup is a locally compact Hausdorff space X equipped with an involution and a convolution operation defined on the space of all bounded complex regular measures on X
Szekelyhidi, has been implemented by the support provided from the National Research, Development and Innovation Fund of Hungary, financed under the K 20 funding scheme
Gselmann has partially been carried out with the help of the project 2019-2.1.11-TET-2019-00049, which has been implemented by the support provided from the National Research, Development and Innovation Fund of Hungary
Summary
A hypergroup is a locally compact Hausdorff space X equipped with an involution and a convolution operation defined on the space of all bounded complex regular measures on X. Gselmann has partially been carried out with the help of the project 2019-2.1.11-TET-2019-00049, which has been implemented by the support provided from the National Research, Development and Innovation Fund of Hungary. A continuous complex valued function is called an exponential polynomial, if its variety is finite dimensional. The simplest nonzero exponential polynomial is the one having one dimensional variety: it consists of all constant multiples of a nonzero continuous function.
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
