Lebesgue Measure on R

Part 1 Tài liệu Measure and integration problems with solutions included: Measure on a σ-Algebra of Sets, Lebesgue Measure on R, Measurable Functions, Convergence a.e. and Convergence in Measure, Integration of Bounded Functions on Sets of Finite Measure, Integration of Nonnegative Functions.

92p uocvong09 20-10-2015 82 5   Download

Part 2 Tài liệu Measure and integration problems with solutions included: Integration of Measurable Functions, Signed Measures and Radon-Nikodym Theorem, Differentiation and Integration, L p Spaces, Integration on Product Measure Space, Some More Real Analysis Problems.

66p uocvong09 20-10-2015 49 3   Download

Tài liệu Measure and Integration: Concepts, Examples and Exercises (Part 2) included: Chapter 1 Classes of sets, chapter 2 Measure, chapter 3 Construction of measures, chapter 4 Integration.

66p uocvong09 20-10-2015 68 4   Download

Tài liệu Measure and Integration: Concepts, Examples and Exercises (Part 2) included: Chapter 5 Measure and integration on product spaces, chapter 6 Lp-spaces.

48p uocvong09 20-10-2015 44 7   Download

Lectures on Measure Theory and Probabilityby H.R. PittPublisher: Tata institute of Fundamental Research 1958Number of pages: 126Description:Measure Theory (Sets and operations on sets, Classical Lebesgue and Stieltjes measures, The Lebesgue integral ...); Probability (Function of a random variable, Conditional probabilities, The Central Limit Problem, Random Sequences and Convergence Properties

126p nunongnuna 05-04-2013 70 9   Download

Sums of two squares near perfect squares by R. C. Vaughan∗∗∗ In memory of Pritish Limani (1983–2003) Abstract Let C be a nondegenerate planar curve and for a real, positive decreasing function ψ let C(ψ) denote the set of simultaneously ψ-approximable points lying on C. We show that C is of Khintchine type for divergence; i.e. if a certain sum diverges then the one-dimensional Lebesgue measure on C of C(ψ) is full. We also obtain the Hausdorff measure analogue of the divergent Khintchine type result. ...

61p noel_noel 17-01-2013 51 7   Download