Affordable Access

Exponentially Convex Functions on Hypercomplex Systems

International Journal of Mathematics and Mathematical Sciences
Publication Date


A hypercomplex system (h.c.s.) 𝐿 1 ( 𝑄 , 𝑚 ) is, roughly speaking, a space which is defined by a structure measure ( 𝑐 ( 𝐴 , 𝐵 , 𝑟 ) , ( 𝐴 , 𝐵 ∈ ℬ ( 𝑄 ) ) ) , such space has been studied by Berezanskii and Krein. Our main result is to define the exponentially convex functions (e.c.f.) on (h.c.s.), and we will study their properties. The definition of such functions is a natural generalization of that defined on semigroup.

There are no comments yet on this publication. Be the first to share your thoughts.