Math 321. Measure Theory |
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Ana
sayfa / Home
Öğrenci Semineri / Students' Seminar
Takvim / Calendar 2003-2004 |
Measure spaces. The spaces ℓp.
The Dirac distribution. Decomposition of measures. Radon-Nykodym Theorem.
Outer measure. Caratheodory extension theorem. n-dimensional
intervals in
ℝn.
The Lebesgue measure on
ℝn.
Measurable sets and functions. Definition of the Lebesgue integral on
ℝn.
The spaces Lp(ℝn).
Iterated integrals, Fubini’s theorem. Change of variable formula.
Convergence theorems. Differentiation under the integral sign. Curves and
differential 1-forms. Line integrals. Green’s theorem. Haar measure.
Louis
MacAuley's Instructors:
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