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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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Hypoelliptic convolution equations in $K’_p$, $p>1$
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by G. Sampson and Z. Zieleźny PDF
Trans. Amer. Math. Soc. 223 (1976), 133-154 Request permission

Abstract:

We consider convolution equations in the space ${K’_p},p > 1$, of distributions which “grow” no faster than $\exp (k|x{|^p})$ for some constant k. Our main result is a complete characterization of hypoelliptic convolution operators in ${K’_p}$ in terms of their Fourier transforms.
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Additional Information
  • © Copyright 1976 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 223 (1976), 133-154
  • MSC: Primary 46F10; Secondary 47G05
  • DOI: https://doi.org/10.1090/S0002-9947-1976-0425607-8
  • MathSciNet review: 0425607