11. Applications to functional analysis
Functional analysis is the branch of mathematics, particularly analysis, that studies functions and spaces of functions.
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
...
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Applications to functional analysis
Bibliography
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(1) - ALBERTI (G.), MANTEGAZZA (C.) -
A Note on the Theory of SBV Functions,
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Bollettino Unione Matematica Italiana Sezione B, Vol. 7, n° 11, pp. 375-382 (1997).
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(2) - AMBROSIO (L.) -
Metric space valued functions with...
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