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Distributions

In: Distribution Theory Applied to Differential Equations

Author

Listed:
  • Adina Chirilă

    (Transilvania University of Braşov, Department of Mathematics and Computer Sciences)

  • Marin Marin

    (Transilvania University of Braşov, Department of Mathematics and Computer Sciences)

  • Andreas Öchsner

    (Esslingen University of Applied Sciences, Faculty of Mechanical Engineering)

Abstract

First of all, we introduce some fundamental spaces that are needed in the theory of distributions. Then we introduce the space of distributions. Then we discuss about the derivative of a distribution, the primitive of a distribution and higher-order primitives. Finally, we present the direct product of distributions, the convolution of distributions and their properties.

Suggested Citation

  • Adina Chirilă & Marin Marin & Andreas Öchsner, 2021. "Distributions," Springer Books, in: Distribution Theory Applied to Differential Equations, chapter 0, pages 73-131, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-67159-4_6
    DOI: 10.1007/978-3-030-67159-4_6
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