I am trying to get familiar with hyperfunctions, and I do have some familiarity with the classical theory of distributions.

I am wondering whether hyperfunctions have any advantages over distributions. Are there any applications of the former which cannot be obtained using the latter? Any important examples?I was told one general property of hyperfunctions which seems to be important and which is not satisfies by usual distributions: the sheaf of hyperfunctions (on a real analytic manifold) is injective.

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**Attribution***Source : Link , Question Author : makt , Answer Author : Community*