The approximation by integral functions to functions defined on the real axis-oo <£< oo or on its positive part only (0P(2), developed by E. Hille and J. D. Tamarkin; some of the results deduced for the strip can be regarded as an extension of this theory. The investigation of the strip starts from Theorem 13. Its proof and that of some other results is given as an appendix. Incidentally results
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.