New aspects of Beurling-Lax shift invariant subspaces
نویسندگان
چکیده
In terms of forward and backward shift invariant subspaces, we characterize functions in Hardy spaces, or, analytic signals in the terminology of signal analysis, through multiplications between analytic and conjugate analytic signals. As applications, we give some necessary and sufficient conditions for solutions of the Bedrosian equation HðfgÞ 1⁄4 f ðHgÞwhen f or g is a bandlimited signal. We also solve the band preserving problem by means of the shift invariant subspace method, which establishes some necessary and sufficient conditions on the functions f that make fg have bandwidth within that of the function g. 2015 Published by Elsevier Inc.
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عنوان ژورنال:
- Applied Mathematics and Computation
دوره 256 شماره
صفحات -
تاریخ انتشار 2015