A form of classical Liouville theorem for polyharmonic functions
نویسندگان
چکیده
منابع مشابه
Liouville Theorem for Dunkl Polyharmonic Functions
Abstract. Assume that f is Dunkl polyharmonic in R (i.e. (∆h) f = 0 for some integer p, where ∆h is the Dunkl Laplacian associated to a root system R and to a multiplicity function κ, defined on R and invariant with respect to the finite Coxeter group). Necessary and successful condition that f is a polynomial of degree ≤ s for s ≥ 2p− 2 is proved. As a direct corollary, a Dunkl harmonic functi...
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ژورنال
عنوان ژورنال: Hiroshima Mathematical Journal
سال: 2000
ISSN: 0018-2079
DOI: 10.32917/hmj/1206124683