Invariant functions in Denjoy–Carleman classes
نویسندگان
چکیده
منابع مشابه
Invariant Functions in Denjoy–carleman Classes
Let V be a real finite dimensional representation of a compact Lie group G. It is well-known that the algebra R[V ] of G-invariant polynomials on V is finitely generated, say by σ1, . . . , σp. Schwarz [38] proved that each G-invariant C-function f on V has the form f = F (σ1, . . . , σp) for a Cfunction F on R. We investigate this representation within the framework of Denjoy–Carleman classes....
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ژورنال
عنوان ژورنال: Annals of Global Analysis and Geometry
سال: 2008
ISSN: 0232-704X,1572-9060
DOI: 10.1007/s10455-008-9135-7