This paper introduced a kind of functions associated with spherically convex sets and discussed their basic properties.Finally,it proved the spherical convexity/concavity of these functions in lower dimensional cases,which pro-vides useful information for the essential characteristics of these functions determining spherically convex sets.The results obtained here are helpful in setting up a systematic spherical convexity theory.
关键词
球面凸性/球支撑函数/球径向函数/典型变换
Key words
spherical convexity/spherical support function/spherical radial function/canonical transformation