Authors
Citation
S. Bromberg et Sl. Demedrano, ON THE MORSE AND SPLITTING LEMMAS IN HILB ERT-SPACE, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 316(9), 1993, pp. 909-912
Citations number
14
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
ISSN journal
07644442
Volume
316
Issue
9
Year of publication
1993
Pages
909 - 912
Database
ISI
SICI code
0764-4442(1993)316:9<909:OTMASL>2.0.ZU;2-A
Abstract
In this Note, we establish the necessary and sufficient conditions for
a C(r) germ of a real function to be C(r)-equivalent to a non-degener
ate quadratic form. We also give new versions of the parametrized Mors
e lemma and of the splitting lemma.