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Reconstruction of Entire Functions From Irregularly Spaced Sample Points
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- Journal:
- Canadian Journal of Mathematics / Volume 48 / Issue 4 / 01 August 1996
- Published online by Cambridge University Press:
- 20 November 2018, pp. 777-793
- Print publication:
- 01 August 1996
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- Article
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Let
where {λn}n ∈ Ζ is a sequence of real numbers such that |λn — n| ≤ Δ for some Δ > 0 and all n ∈ ℤ . Extending an obvious property of sin πz to which the function G reduces when Δ = 0 we show that 
is bounded by a constant independent of n. The result is then applied to a problem concerning derivative sampling in one and several variables.
where {
is bounded by a constant independent of 