Abstract
We give direct proofs on the perfect block diagonalization and on the transformation to Arnold-Petkov's normal form of matrices of pseudo-differential operators in the ultradifferentiable classes.
Citation
Waichiro Matsumoto. "Direct proof of the perfect block diagonalization of systems of pseudo-differential operators in the ultradifferentiable classes." J. Math. Kyoto Univ. 40 (3) 541 - 566, 2000. https://doi.org/10.1215/kjm/1250517680
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