Explicit Multidimensional Ingham–beurling Type Estimates
نویسنده
چکیده
Recently a new proof was given for Beurling’s Ingham type theorem on one-dimensional nonharmonic Fourier series, providing explicit constants. We improve this result by applying a short elementary method instead of the previous complex analytical approach. Our proof equally works in the multidimensional case.
منابع مشابه
Ingham – Beurling Type Estimates
Baiocchi et al. generalized a few years ago a classical theorem of Ingham and Beurling by means of divided differences. The optimality of their assumption has been proven by the third author of this note. The purpose of this note to extend these results to vector coefficient sums.
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تاریخ انتشار 2008