Lecture

Distributions and Derivatives

In course

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Description

This lecture covers the concept of distributions and their derivatives, including the dual space of distributions, compact support functions, convergence criteria, and the space of continuous linear functionals. It also discusses the continuity of distributions, the Heaviside function, and the relation between measures and distributions.

Official source

https://mediaspace.epfl.ch/media/0_bug9432s

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Ontological neighbourhood

Mathematics

Analysis: Measure theory, Functional analysis, Calculus, Distribution theory

Topology: General topology

Algebra: Linear algebra

Statistics

Statistical inference: Mathematical statistics

Logic

Classical logic: First-order logic

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