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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeAug 6th 2017

    created pullback of a distribution, just for completeness

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeAug 7th 2017

    added statement of a second sufficient condition for the pullback of distributions to exist: their wave front set does not intersect the conormal bundle of the map being pulled back along: here

    • CommentRowNumber3.
    • CommentAuthorzskoda
    • CommentTimeAug 8th 2017

    Oh, here I see what I was talking in another entry. The formula for pullback has Jacobian…this is exactly because Hoermander takes generalized 1-densities and not generalized functions in geometric sense. For generalized functions as functionals on classical distributions (1-densities), no conditions for pullback.

    • CommentRowNumber4.
    • CommentAuthorzskoda
    • CommentTimeAug 8th 2017
    • (edited Aug 8th 2017)

    Wait a second. I was wrong in 3. To pushforward the test 1-density as a measure no problem but you can loose smoothness if it is not a submersion. Thus the condition that one needs submersion if one wants to pullback all generalized functions.

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTime6 days ago

    added to pullback of distributions the example of restrictions of distributions: here