Fourier Uniqueness Criteria And Spectrum Estimation Theorems

John J. Benedetto
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John J. Benedetto: University of Maryland, Department of Mathematics

A chapter in Fourier Techniques and Applications, 1985, pp 149-170 from Springer

Abstract: Abstract The convergence or divergence of logarithmic integrals, 1 $$\int_{{ - \infty }}^{\infty } {\frac{{|\log F(\gamma )|}}{{1 + {{\gamma }^{2}}}}} d\gamma ,$$ is related to entropy and periodogram spectrum estimation methods, respectively.

Keywords: Entire Function; Uncertainty Principle; Estimation Theorem; Sampling Theorem; Factorization Theorem (search for similar items in EconPapers)
Date: 1985
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DOI: 10.1007/978-1-4613-2525-3_8

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