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Generalized Functions for the Laplace Transform and Universal Approximants

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Generalized Functions and Their Applications
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Abstract

Some classes of spaces of generalized functions with special reference to the Laplace transformation are surveyed, the spaces being norm completions. It is proved using a theorem of G. D. Birkhoff that these spaces contain universal approximants.

Mathematics Subject Classification: primary 44A40, 44A10, secondary 44A35, 46F12.

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References

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© 1993 Springer Science+Business Media New York

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Miller, J.B. (1993). Generalized Functions for the Laplace Transform and Universal Approximants. In: Pathak, R.S. (eds) Generalized Functions and Their Applications. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-1591-7_12

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  • DOI: https://doi.org/10.1007/978-1-4899-1591-7_12

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4899-1593-1

  • Online ISBN: 978-1-4899-1591-7

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