Recent content by Stevan White

  1. S

    How does distributional derivatives work in the context of linear mappings?

    A different interpretation of your question: For what distribution is the distributional derivative the same as the elementary derivative of a given function? Observe that in the above formula for the distributional derivative, if the mapping f is linear, then T is the same as f. (The...
  2. S

    How does distributional derivatives work in the context of linear mappings?

    The distributional derivative can be defined in terms of a Fréchet derivative on general normed linear spaces. For a mapping f from one normed linear space to another, the derivative T at an element x in the domain is the linear operator with the same domain and range that satisfies limδ→0...
Back
Top