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Questions on the calculus of variations, which deals with the optimization of functionals mostly defined on infinite dimensional spaces.
26
votes
Central limit theorem via maximal entropy
There is a book on the subject: "Information Theory and The Central Limit Theorem" by Oliver Johnson.
The article by Anshelevich mentioned by Yemon considers the operator $T$ acting on probability den …
2
votes
Functional derivatives on Banach spaces
Not a great idea to use normed spaces here. In physics, one typically deals with a functional on a space of smooth functions. Via polarization, the higher derivatives become symmetric continuous multi …