In this six-volume series on functional analysis, Gel'Fand and Vilkenkin depart from direct sequence for this fourth volume, assuming only the knowledge from the first two chapters of Volume One, and briefly repeating some matters that were discussed in previous chapters. They focus on recent developments in the theory of linear topological spaces, and the construction of harmonic analysis in n-dimensional Euclidean and infinite-dimensional spaces. Their topics are the kernel theorem, nuclear spaces, and rigged Hilbert space; positive and positive-definite generalized functions; generalized random processes; and measures in linear topological spaces. Annotation ©2016 Ringgold, Inc., Portland, OR (protoview.com)
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