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1. Introduction. 1.1. Preliminaries. 1.2. Extended real numbers (R*) and R[symbol]. 1.3. Lebesgue's definition of the integral -- 2. Measure theory. 2.1. Semi-rings and algebras of sets. 2.2. Additive set functions. 2.3. Outer measures. 2.4. Extensions of premeasures. 2.5. Lebes…
This text contains a basic introduction to the abstract measure theory and the Lebesgue integral. Most of the standard topics in the measure and integration theory are discussed. In addition, topics on the Hewitt-Yosida decomposition, the Nikodym and Vitali-Hahn-Saks theorems an…
This text contains a basic introduction to the abstract measure theory and the Lebesgue integral. Most of the standard topics in the measure and integration theory are discussed. In addition, topics on the Hewitt-Yosida decomposition, the Nikodym and Vitali-Hahn-Saks theorems an…
The basic purpose of the paper is to construct, for the indicated integrals, series expansions in terms of finite multiple integrals of increasing multiplicity ("generalized Dyson series''). The authors study in detail the character of these expansions in the case when the measu…
![Proceedings of the Conference on Integration, Topology, and Geometry in Linear Spaces [held at the University of North Carolina, Chapel Hill, North Carolina, May 17-19, 1979]](https://covers.openlibrary.org/b/isbn/0821850024-M.jpg?default=false)
Proceedings of the Conference on Integration, Topology, and Geometry in Linear Spaces [held at the University…
by Graves, William H., (William Howard), Conference on Integration, Topology, and Geometry in Linear Spaces, University of North Carolina)
fromContemporary mathematics (American Mathematical Society)
0
Type: Book
Proceedings of the Conference on Integration, Topology, and Geometry in Linear Spaces [held at the University…
by Graves, William H., (William Howard), Conference on Integration, Topology, and Geometry in Linear Spaces, University of North Carolina)
fromContemporary mathematics (American Mathematical Society)
0
Type: Book
