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Multipliers, Convolutors and Hypoelliptic Convolutors for Tempered Ultradistributions

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Generalized Functions and Their Applications
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Abstract

Malgrange’s, Ehrenpreis’s and Hörmander’s results on the solvability and the hy-poellipticity of convolution equations in Schwartz’s spaces of distributions stimulated many mathematicians to study such problems in various subspaces of distributions. We cite here only the results of Zielezny ([15], [16]) and Swartz ([12], [13]), since they are connected with the results of this paper. Convolution equations for ultradistribution spaces were studied by Meise, Taylor, Voigt and their cooperators; (see [1], [7] and references there.)

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References

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© 1993 Springer Science+Business Media New York

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Pilipović, S. (1993). Multipliers, Convolutors and Hypoelliptic Convolutors for Tempered Ultradistributions. In: Pathak, R.S. (eds) Generalized Functions and Their Applications. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-1591-7_18

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  • DOI: https://doi.org/10.1007/978-1-4899-1591-7_18

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4899-1593-1

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