Parthasarathy, K. R. Introduction to probability and measure. (Vvedenie v teoriyu veroyatnostej i teoriyu mery). Transl. from the English. (Russian) Zbl 0529.28001 Moskva: Izdatel’stvo ”Mir”. 343 p. R. 2.00 (1983). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 4 Documents MSC: 28-02 Research exposition (monographs, survey articles) pertaining to measure and integration 28A25 Integration with respect to measures and other set functions 28C10 Set functions and measures on topological groups or semigroups, Haar measures, invariant measures 60A10 Probabilistic measure theory 28A12 Contents, measures, outer measures, capacities 28C15 Set functions and measures on topological spaces (regularity of measures, etc.) 28D05 Measure-preserving transformations 60F05 Central limit and other weak theorems 60B15 Probability measures on groups or semigroups, Fourier transforms, factorization Keywords:laws of large numbers; central limit theorem; extension of measures to sigma-algebras from Boolean algebras; convergence of measurable functions on metric spaces; Daniel-Kolmogorov consistency theorem; Lebesgue integration; convergence theorems; Riesz representation theorem; decomposition of measures; ergodic theory; conditional expectation; orthogonal projections; Fourier transforms; Haar measure on locally compact groups; invariant measures on homogeneous spaces Citations:Zbl 0395.28001 PDFBibTeX XML