Abstract
The integral representation theorems for positive and negative definite functions obtained so far were all proved under the assumption that the semigroup contained a neutral element, i.e. a “zero” with respect to the additively written semigroup operation. We also saw that some boundedness conditions were necessary for the functions under consideration in order to prove the main representation results.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1984 Springer Science+Business Media New York
About this chapter
Cite this chapter
Berg, C., Christensen, J.P.R., Ressel, P. (1984). Positive and Negative Definite Functions on Abelian Semigroups Without Zero. In: Harmonic Analysis on Semigroups. Graduate Texts in Mathematics, vol 100. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1128-0_8
Download citation
DOI: https://doi.org/10.1007/978-1-4612-1128-0_8
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-7017-1
Online ISBN: 978-1-4612-1128-0
eBook Packages: Springer Book Archive