FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2001, VOLUME 7, NUMBER 2, PAGES 515-532

V. I. Rabover

Abstract

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```
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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Last modified: October 31, 2001.