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- W2000007470 abstract "Polynomial sets and polynomial expansion theorems are developed for solutions of Cauchy problems of the form ∂ n u ( x , t )/∂ t n = ± D m u ( x , t ), ∂ j u ( x , t )/∂ t j | t = 0 = φ j ( x ), j = 0, 1,…, n − 1. If m > n , then the data functions must be entire of growth ρ = s /( s − 1) where s = m / n if n divides m and of growth ρ = ( s + 1)/ s if m = ns + r where 1 ≤ r ≤ n − 1. If n ≥ m , then R -analyticity of the φ j ( x ) will suffice." @default.
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- W2000007470 date "1997-10-01" @default.
- W2000007470 modified "2023-10-17" @default.
- W2000007470 title "Polynomial Expansions of Solutions of Cauchy Problems That Involve One Space Variable" @default.
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- W2000007470 doi "https://doi.org/10.1006/jmaa.1997.5590" @default.
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