Fréchet Frames for Shift Invariant Weighted Spaces
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چکیده
In the present paper we analyze Fréchet frame of the form {φ(·−j) | j ∈ Z}. With a known condition on φ, we show that the given sequence constitutes a frame for a test space isomorphic to the space of periodic smooth functions so that its dual is the multiple of the space of periodic distributions by φ̂. AMS Mathematics Subject Classification (2000): 42C15,42C40,42C99,46A35,46B20
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تاریخ انتشار 2010