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Start Over Author "Sun, Xudong" Journal advances in computational mathematics Publisher springer nature
1 results on '"Sun, Xudong"'

1. Inversion formula for the windowed Fourier transform, II.

Author

Sun, Xudong and Sun, Wenchang

Subjects
*INVERSIONS (Geometry), *FOURIER transforms, *RIEMANNIAN submersions, *INTEGRAL equations, *STATISTICAL sampling, *INFINITY (Mathematics)
Abstract

In this paper, we study the approximation of the inversion of windowed Fourier transforms using Riemannian sums. We show that for certain window functions, the Riemannian sums are well defined on L(ℝ), 1 < p < ∞, and tend to the function to be reconstructed as the sampling density tends to infinity. [ABSTRACT FROM AUTHOR]

Published
2013
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