Lecture
Functional Analysis and Distribution Theory
Description
This lecture covers different notions of equality for functions, including classical equality, equality in the norm, and weak equality in the sense of distributions. It also explores linear functionals, the continuous dual of a vector space, and operations on distributions. The Schwartz space of tempered distributions and examples of calculations are discussed, along with the advantages of working with Schwartz' space in infinite-dimensional vector algebra.
Official source
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