Linear functional operations on functions having discontinuities of the first kind
نویسندگان
چکیده
منابع مشابه
Linear Functional Operations on Functions Having Discontinuities of T H E First Kind
The most general form of a linear continuous functional operation on a function f(x) continuous on (a, b) has been expressed by F. Rieszf as a Stieltjes integral of f(x) with respect to a function of bounded variation. By virtue of the extension theorem of Hahn,$ this result can be extended to the case where f(x) has discontinuities of the first kind on (a, b). In establishing this more general...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1934
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1934-05949-4