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Titlebook: Integration I; Chapters 1-6 Nicolas Bourbaki Book 2004 Springer-Verlag Berlin Heidelberg 2004 MSC (2000): 28-01, 28Bxx, 46Exx.YellowSale200

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Nicolas BourbakiIncludes supplementary material:
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antly on the preceding five Books, especially .General Topology. and  .Topological Vector Spaces., making it a culmination of the core six. The power of the tool thus fashioned is strikingly displayed in Chapter II of the author‘s .Théories Spectrales., an exposition, in a mere 38 pages, of abstract
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Book 2004ly .General Topology. and  .Topological Vector Spaces., making it a culmination of the core six. The power of the tool thus fashioned is strikingly displayed in Chapter II of the author‘s .Théories Spectrales., an exposition, in a mere 38 pages, of abstract harmonic analysis and the structure of loc
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Günther Hachtel,Ulrich Holzbaurine the products 0·(+∞) and 0·(−∞) by giving them the value 0; thus, if f is a numerical function defined on E, and A is a subset of E, fϕ. denotes the function that coincides with f on A and is equal to 0 on .A. For every point a of a locally compact space, ε. denotes the measure defined by placing a unit mass at the point a (Ch. III, §1, No. 3).
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Integration of measures,nction of A (if no confusion can result thereby). By numerical function, we always mean a function taking its values in ., thus possibly taking on the values +∞ and −∞. The set of positive numerical functions defined on E will be denoted ℱ.(E), or simply by ℱ. no confusion can result We agree to def
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Vectorial integration,aic dual of F′ (the space of all linear forms on F′); F″ is a linear subspace of F′*, and F may be identified (as a vector space without topology) with a linear subspace of F″. We denote by F. the vector space F equipped with the weakened topology cr(F, F′); the qualifiers ‘weak’ and ‘weakly’ refer
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Book 2004 the author the opportunity tocorrect misprints, update references, clarify the concordance of Chapter 6 with the second editions of Chapters 1-5, and revise the definition of a key concept in Chapter 6 (measurable equivalence relations)..
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