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asv
asv
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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 about 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.

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 about 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.

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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asv
asv
  • 21.8k
  • 6
  • 54
  • 121

I am not reallytrying to get familiar with hyperfunctions, thoughand 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 about 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.

I am not really familiar with hyperfunctions, though 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 about 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.

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 about 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.

Source Link
asv
asv
  • 21.8k
  • 6
  • 54
  • 121

Applications and main properties of hyperfunctions

I am not really familiar with hyperfunctions, though 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 about 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.