Hypoelliptic convolution equations in the space ${\scr K}’_ e$
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- by Dae Hyeon Pahk PDF
- Trans. Amer. Math. Soc. 298 (1986), 485-495 Request permission
Abstract:
We consider convolution equations in the space $\mathcal {K}_e’$ of distributions which "grow" no faster than $\exp ({e^{k|x|}})$ for some constant $k$. Our main results are to find conditions for convolution operators to be hypoelliptic in $\mathcal {K}_e’$ in terms of their Fourier transforms.References
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Additional Information
- © Copyright 1986 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 298 (1986), 485-495
- MSC: Primary 35H05; Secondary 35D99, 46F10
- DOI: https://doi.org/10.1090/S0002-9947-1986-0860376-5
- MathSciNet review: 860376