Classifying Characteristic functions giving Weyl-Heisenberg Frames
نویسنده
چکیده
If (fn) is a sequence of elements of an infinite dimensional Hilbert space H and (en) is an orthonormal basis for H , we define the preframe operator T : H → H by: Ten = fn. It follows that for any f ∈ H , T ∗f = ∑ n〈f, fn〉en. Hence, (fn) is a frame if and only if T ∗ is an isomorphism (called the frame transform) and in this case S = TT ∗ is an invertible operator on H called the frame operator. The frame operator is a positive, self-adjoint invertible operator on H satisfying: Sf = ∑
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تاریخ انتشار 2000