Hypoelliptic convolution equations in 𝐾’_{𝑝}, 𝑝>1

Sampson, G.; Zieleźny, Z.

doi:10.1090/S0002-9947-1976-0425607-8

Hypoelliptic convolution equations in $K’_p$, $p>1$
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by G. Sampson and Z. Zieleźny

Trans. Amer. Math. Soc. 223 (1976), 133-154

DOI: https://doi.org/10.1090/S0002-9947-1976-0425607-8

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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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Séminaire de Schwartz

Produits tensoriels topologiques d’espaces vectoriels topologiques. Espaces vectoriels topologiques nucléaires

17

Théorie des distributions

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