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Abstract The modern theory of functions of a real variable is closely interrelated with functional analysis The former creates the basis for studying many concrete function spaces and the latter provides a more general modern approach to the problems of the theory of functions The swift development of analysis in the twentieth century, beginning with the theory of the Lévesque integral, has been of tremendous mathematical importance. No math- magician today can afford to be ignorant of the modern Theo- rise of in gyration. |