We introduce the notion of pseudo-differential operators defined at a point and we establish a canonical one-to-one correspondence between such an operator and its symbol. We also prove the invertibility theorem for special type operators.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap89-1-3,
author = {Ryuichi Ishimura},
title = {Op\'erateurs pseudo-diff\'erentiels d\'efinis en un point},
journal = {Annales Polonici Mathematici},
volume = {89},
year = {2006},
pages = {25-51},
zbl = {1123.32023},
language = {fra},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap89-1-3}
}
Ryuichi Ishimura. Opérateurs pseudo-différentiels définis en un point. Annales Polonici Mathematici, Tome 89 (2006) pp. 25-51. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap89-1-3/