Analysis IV: Tempered Distributions and Dirac Functional
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Description
This lecture covers the concept of tempered distributions, the derivative of a tempered distribution, and the Dirac functional. It also introduces vectorial spaces, operations, and the Dirac functional in the context of analysis.
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The course studies the fundamental concepts of complex analysis with a view to their use in solving multidisciplinary problems of scientific engineering.
Explores the definition and properties of linear applications, focusing on injectivity, surjectivity, kernel, and image, with a specific emphasis on matrices.
Introduces functional analysis, distribution theory, topological vector spaces, and linear operators, emphasizing their importance in engineering applications.