Jet continuation and reducibility of smooth function families
V. I. Rabover
Institute of Systems Analysis, Russian Academy of Sciences
For a family of smooth functions of several variables the problem of local reducibility (through a diffeomorphism) to a lower number of variables is considered. Some sufficient conditions of such reducibility, in terms of subfamily reducibility, are obtained. The argumentation is reduced to solution of a jet continuation problem, for jets defined on the union of a finite family of sets, where the jets can be continued from each of the sets.
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V. I. Rabover, “Jet continuation and reducibility of smooth function families”, Fundam. Prikl. Mat., 7:2 (2001), 515–532
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\paper Jet continuation and reducibility of smooth function families
\jour Fundam. Prikl. Mat.
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