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Convergence of a Sequence of Distributions

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Book cover Fourier Analysis and Applications

Part of the book series: Texts in Applied Mathematics ((TAM,volume 30))

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Abstract

We mentioned in Section 26.4 that an essential property of derivation in the sense of distributions is its continuity:

We saw in Section 26.2 that from the point of view of physics, the impulse is a limit. For these and other reasons it is important to investigate the notion of limit in D′.

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© 1999 Springer Science+Business Media New York

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Gasquet, C., Witomski, P. (1999). Convergence of a Sequence of Distributions. In: Fourier Analysis and Applications. Texts in Applied Mathematics, vol 30. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1598-1_29

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  • DOI: https://doi.org/10.1007/978-1-4612-1598-1_29

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-7211-3

  • Online ISBN: 978-1-4612-1598-1

  • eBook Packages: Springer Book Archive

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