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math.FA2023
The Extended Paley-Wiener Theorem over the Hardy-Sobolev Spaces
Detian Liu, Haichou Li, Kit Ian Kou
We examine how the square-integrable function subspaces are transformed using the holomorphic Fourier transform. On account of this, the extended Paley-Wiener theorem over the Hard…
math.FA2016★ 24 cited
Generalized Sampling Expansions Associated with Quaternion Fourier Transform
Dong Cheng, Kit Ian Kou
Quaternion-valued signals along with quaternion Fourier transforms (QFT)provide an effective framework for vector-valued signal and image processing. However, the sampling theory o…