Category:Measure theory

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Measure theory

Subcategories

This category has the following 5 subcategories, out of 5 total.

D

• Definitions of mathematical integration

I

• Integral geometry

M

• Measures (measure theory)
• Measures (set theory)

P

• Probability theory

Pages in category "Measure theory"

The following 115 pages are in this category, out of 115 total. Updates to this list can occasionally be delayed for a few days.

* Measure (mathematics) A Absolute continuity Abstract Wiener space Almost everywhere Atom (measure theory) Aubin-Lions lemma B Ba space Banach–Tarski paradox Bochner's theorem Borel-Cantelli lemma Brunn-Minkowski theorem C Caccioppoli set Cameron-Martin theorem Cantor function Cantor set Carathéodory's criterion Carathéodory's extension theorem Clark-Ocone theorem Computable measure theory Concentration of measure Content (measure theory) Conull set Convergence in measure Convergence of measures Cramér-Wold theorem Crofton formula Curvature of a measure D Delta-ring Differentiation of integrals Dirac delta function Direct integral Dominated convergence theorem E Effective dimension Egorov's theorem Equivalence (measure theory) Essential supremum and essential infimum F F. and M. Riesz theorem Factorization lemma

F cont. Fatou's lemma Fatou–Lebesgue theorem Filtration (mathematics) Finite-dimensional distribution G Geometric measure theory H H-derivative Hahn decomposition theorem Hahn-Kolmogorov theorem Ham sandwich theorem Hamburger moment problem Hanner's inequalities Hausdorff density Hausdorff measure Hausdorff paradox I Indicator function Integral representation theorem for classical Wiener space Integration by parts operator K Klee's measure problem Kōmura's theorem L Lebesgue differentiation theorem Lebesgue integration Lebesgue's decomposition theorem Lebesgue's density theorem Lévy metric Lévy-Prokhorov metric Locally integrable function Logarithmically-spaced Dirac comb Lusin's theorem Luzin N property M Malliavin's absolute continuity lemma Measurable function Minkowski-Steiner formula Monotone class theorem N Naimark's dilation theorem Nikodym set Non-measurable set Null set P Pettis' theorem Pi system

P cont. Planar lamina Portmanteau theorem Positive and negative sets Prevalent and shy sets Prokhorov's theorem R Radon space Radonifying function Radon–Nikodym theorem Rectifiable set Regularity theorem for Lebesgue measure Ruziewicz problem S Separable sigma algebra Sigma additivity Sigma-algebra Sigma-ideal Sigma-ring Simple function Smith-Volterra-Cantor set Stein-Strömberg theorem Steinhaus theorem Structure theorem for Gaussian measures Support (measure theory) T There is no infinite-dimensional Lebesgue measure Tightness of measures Transportation theory Trigonometric moment problem U Universally measurable set V Valuation (measure theory) Varifold Vitali convergence theorem Vitali covering lemma Vitali set Vitali–Hahn–Saks theorem Volterra's function W Wasserstein metric Weakly measurable function Weierstrass function Weight function

Categories: Functional analysis | Real analysis | Theories

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