EQUIVALENCE AND NORMAL FORMS OF GERMS OF SMOOTH MAPPINGS

Abstract

ContentsIntroductionChapter I §1. Normal forms of formal series §2. Normal forms of germs of smooth mappingsChapter II §1. One-sided equivalence §2. Two-sided equivalence §3. Conjugacy of germs of smooth mappings §4. Linearization §5. Families and versalityChapter III §1. Small operators §2. Bounded operators and small operators in the space of germs of smooth mappings §3. Proofs of the theorems on right and two-sided equivalence §4. Proofs of the theorems on conjugacyReferences