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Results tagged with real-analysis
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user 45494
Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.
2
votes
Differentiability: Partially Defined Functions
1.(Riesz-Dunford Functional Calculus)
Consider the function $f(z):=|z|^2$ defined on the real and imaginary axis only. Then around every point it has an extension to a continuously differentiable fun …
- 598
4
votes
2
answers
649
views
Differentiability: Partially Defined Functions
These ideas came to my mind while reading Lee's Introduction to Smooth Manifolds.
(Cf. discussion on p. 45.)
Definition
Let $E$ and $F$ be two Banach spaces together with a plain subset $A\subsete …
- 598