11. Applications to functional analysis
Functional analysis is the branch of mathematics, particularly analysis, that studies functions and spaces of functions.
11.1 Studying discontinuities in a real function
In this paragraph, only discontinuities in real-valued functions will be presented.
Definition (limit on the left and limit on the right at a point). Let f be a function defined on a non-empty interval I of and with real values. The limit from the left of the function f at a point x0 of I (if it exists), denoted by is...
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Applications to functional analysis
Applications to geometry
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