论文信息 - Donoho-Stark and Paley-Wiener theorems for the G-transform

Donoho-Stark and Paley-Wiener theorems for the G-transform

This paper deals with a class of G-transformsg(x)=G(f)(x):[email protected]!0~G"2"n","2"m^m^,^n(xy|(a"n),-([email protected]?"n)(b"m),-([email protected]?"m))f(y)dy with the Meijer G-function as the kernel. We prove the Donoho-Stark uncertainty principle for the G-transform. We also give a characterization of the image of functions that have compact support (Paley-Wiener type theorem) under this class of transforms in case n=0.

Vu Kim Tuan | Semyon Yakubovich | S. Yakubovich | V. Tuan

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