18.102 | Spring 2021 | Undergraduate

Introduction to Functional Analysis

Lecture 12: Lebesgue Integrable Functions, the Lebesgue Integral and the Dominated Convergence Theorem

Description: We define the class of Lebesgue integrable functions and the Lebesgue integral, and we prove the powerful Dominated Convergence Theorem! We conclude by showing that the Riemann and Lebesgue integrals agree for continuous functions on a bounded interval.

Instructor: Dr. Casey Rodriguez

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Spring 2021
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