A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2022; you can also visit the original URL.
The file type is `application/pdf`

.

##
###
Complex powers of a system of pseudo-differential operators

1971
*
Proceedings of the Japan Academy
*

0o Introduction. In this paper we shall give complex powers of a system of pseudo-differential operators which is not necessarily elliptic. Complex powers of an elliptic pseudo-differential operator were defined by Seeley [5]. He constructed complex powers of a pseudodifferential operator p(x, D) defined on a compact C-manifold without boundary. Here we shall construct symbols for complex powers only by local calculation which works even for operators defined locally. Recently Nagase-Shinkai

doi:10.3792/pja/1195519968
fatcat:x6umtee5szg3lf6v4apvupu2ye