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Perturbations of pseudo-differential operators with double characteristics of constant multiplicity

✍ Scribed by Paul Godin

Publisher: Elsevier Science
Year: 1983
Tongue: English
Weight: 652 KB
Volume: 50
Category: Article
ISSN: 0022-0396
DOI: 10.1016/0022-0396(83)90082-7

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This paper deals with one-parameter linear perturbations of a family of polynomials {Pn(x)}~0 with deg[P.(x)] = n of the form P~'(x) = Pn(x) +/~Q.(x), where p is a real parameter and {Qn(x)}~ 0 are polynomials with deg[Qn(x)] ~< n. Let the polynomials {Pn(x)}~0 be eigenfunctions of a linear differen