Premium
Interpolation of Vector‐Valued Real Analytic Functions
Author(s) -
Bonet José,
Domański Paweł,
Vogt Dietmar
Publication year - 2002
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610702003551
Subject(s) - interpolation (computer graphics) , sequence (biology) , mathematics , real number , analytic function , domain (mathematical analysis) , natural number , combinatorics , mathematical analysis , discrete mathematics , physics , chemistry , motion (physics) , biochemistry , classical mechanics
Let ω ⊆ R d be an open domain. The sequentially complete DF‐spaces E are characterized such that for each (some) discrete sequence ( z n ) ⊆ ω, a sequence of natural numbers ( k n ) and any family( X n , α)n ∈ N , | α | ⩽ k n⊆ E the infinite system of equations(∂ | α |f ∂ z α) ( z n ) = x n , αfor n ∈ N , α ∈ N d , | α | ⩽ k n ,has an E ‐valued real analytic solution f .