000			01907nam a2200253 4500
008			220716b |||||||| |||| 00| 0 eng d
020			_a9788184896152
082			_a515.8 _bDOO
100			_aDoob, J. L.
245			_aMeasure theory
260			_aNew Delhi: _bSpringer India, _c1994.
300			_axii, 210p.; _bpbk; _c24cm.
504			_aIncludes notation and Index
520			_aThis book was planned originally not as a work to be published, but as an excuse to buy a computer, incidentally to give me a chance to organize my own ideas ~n what measure theory every would-be analyst should learn, and to detail my approach to the subject. When it turned out that Springer-Verlag thought that the point of view in the book had general interest and offered to publish it, I was forced to try to write more clearly and search for errors. The search was productive. Readers will observe the stress on the following points. The application of pseudometric spaces. Pseudo metric, rather than metric spaces, are applied to obviate the artificial replacement of functions by equivalence classes, a replacement that makes the use of "almost everywhere" either improper or artificial. The words "function" and "the set on which a function has values at least E" can be taken literally in this book. Pseudometric space properties are applied in many contexts. For example, outer measures are used to pseudometrize classes of sets and the extension of a finite measure from an algebra to a 0" algebra is thereby reduced to finding the closure of a subset of a pseudo metric space. https://link.springer.com/book/10.1007/978-1-4612-0877-8
650			_aConditional probability
650			_aDistribution
650			_aHilbert space
650			_aMaxima
650			_aRandom variable
650			_aProbability space
650			_aUniform integrability
650			_aMeasure theory
942			_2ddc _cTD
999			_c57034 _d57034