Applications to functional analysis
Bounded Variation Functions
Article REF: AF109 V1
Applications to functional analysis
Bounded Variation Functions

Author : Jean-Charles PINOLI

Publication date: May 10, 2025 | Lire en français

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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 x 0 of I (if it exists), denoted by f(x0)...

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