On Affine Frames with Transcendental Dilations
نویسندگان
چکیده
We answer a question of O. Christensen about affine systems in L2(R). Specifically, we show that if the dilation factor a > 1 is transcendental, then cancellations cannot occur between different scales, in the conditions for the affine system to form a frame. Such cancellations are known to occur when a is an integer.
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تاریخ انتشار 2006