On the irregular-derivative sampling with uniformly dense sample points for bandlimited stochastic processes

1995 ◽  
pp. 395-408
Keyword(s):  
Stochastic Processes ◽  
Derivative Sampling ◽  
Sample Points

Reconstruction of Entire Functions From Irregularly Spaced Sample Points

1996 ◽  
Vol 48 (4) ◽  
pp. 777-793 ◽  
Author(s):  
Georgi R. Grozev ◽  
Qazi I. Rahman
Keyword(s):  
Entire Functions ◽  
Constant Independent ◽  
Real Numbers ◽  
Several Variables ◽  
Derivative Sampling ◽  
Sample Points

AbstractLet 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.

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