Measure in Groups |
Common terms and phrases
670 be given approximate identity Baire measure Bm(x bounded functions character of G/N closed under multiplication collection of functions compact set complex numbers condition contradiction proves corollary cosets cyclic group dbda defined Emin EnN(f Enti essentially bounded exists a set f(xy FIMI Fubini's theorem G X G group algebra homomorphism implies XE Inye jeji kernel of Ty L₁ Lebesgue Lemma locally compact group M₂ maximal ideal measurable function measurable set measure space Mg(x multiplier function neighborhood notation open set outer measure integral positive measure prove the existence proves the lemma Radon-Nikodym theorem real line relatively invariant measure representation of G ring S-measurable semi-simple Banach algebra sequence of subsets set of functions subset of G theorem topological group topology Ty f Ty g(x Ty Ty U₂ YEminYE کے