Pseudodifferential Operators
M. Nedeljkov, D. Perišić, S. Pilipović (1997)
Zbornik Radova
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Displaying similar documents to “Wiener type algebras of pseudodifferential operators”
Pseudodifferential Operators
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Nous étudions une algèbre de fonctions infiniment différentiables définies sur l’espace de phase et satisfaisant des conditions de croissance à l’infini. Le produit dans est la transformée de Fourier symplectique de la convolution gauche. On montre que est une généralisation naturelle de l’algèbre des opérateurs pseudodifférentiels.
The verification of the Nirenberg-Treves conjecture
Nicolas Lerner (2005-2006)
Séminaire Bourbaki
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In a series of recent papers, Nils Dencker proves that condition implies the local solvability of principal type pseudodifferential operators (with loss of derivatives for all positive ), verifying the last part of the Nirenberg-Treves conjecture, formulated in 1971. The origin of this question goes back to the Hans Lewy counterexample, published in 1957. In this text, we follow the pattern of Dencker’s papers, and we provide a proof of local solvability with a loss of derivatives. ...