The Shannon Sampling Theorem and Its Implications
نویسنده
چکیده
We say that a function f (with values in either R or C) is supported on a set A if it is zero on the complement of this set. The support of f , which we denote by supp(g), is the minimal closed set on which f is supported, equivalently, it is the closure of the set on which f is non-zero. We note that if f ∈ L1(R) is real-valued then the support of f̂ is symmetric around zero (since the real part of f̂ is even and the imaginary part is odd). A function
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