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GENERALIZED PALEY–WIENER THEOREMS

QIUHUI CHEN

Cisco School of Informatics, Guangdong University of Foreign Studies, Guangzhou 510420, P. R. China

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LUOQING LI

Faculty of Mathematics and Computer Sciences, Hubei University, Wuhan 430062, P. R. China

Corresponding author.

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, and

GUANGBIN REN

Department of Mathematics, University of Science and Technology of China, Hefei 230026, P. R. China

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https://doi.org/10.1142/S0219691312500208Cited by:14 (Source: Crossref)

Abstract

Non-harmonic Fourier transform is useful for the analysis of transient signals, where the integral kernel is from the boundary value of Möbius transform. In this note, we study the Paley–Wiener type extension theorems for the non-harmonic Fourier transform. Two extension theorems are established by using real variable techniques.

Keywords:

AMSC: 42A38

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