The Space \(\mathcal{D}^{\prime}(\Omega )\) of Distributions

  • Dorina Mitrea
Part of the Universitext book series (UTX)


In this chapter the space of distributions is introduced and studied from the perspective of a topological vector space with various other additional features, such as the concept of support, multiplication with a smooth function, distributional derivatives, tensor product, and a partially defined convolution product. Here the nature of distributions with higher-order gradients continuous or bounded is also discussed.


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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  • Dorina Mitrea
    • 1
  1. 1.Department of MathematicsUniversity of MissouriColumbiaUSA

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