Abstract
This chapter reviews the measures in linear topological spaces. The class of locally convex linear topological spaces contains all countable normed spaces. The chapter introduces a condition for the countable additivity of measures on the cylinder sets in spaces adjoint to countably Hilbert spaces, which is more convenient to use. It discusses questions connected with the transformation of measures in linear topological spaces by parallel displacement. It also discusses the Fourier transforms of measures in linear topological spaces.
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