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STABILITY OF FRAMES GENERATED BY NONLINEAR FOURIER ATOMS

QIUHUI CHEN

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

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LUOQING LI

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

Corresponding author.

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, and

TAO QIAN

Department of Mathematics, FST, University of Macau, Macao (via Hong Kong), P. R. China

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https://doi.org/10.1142/S0219691305000968Cited by:22 (Source: Crossref)

Abstract

In this paper, we study the stability of two kinds of frames generated by nonlinear Fourier atoms. The first result is the Kadec type ¼-theorem. The second states that the nonlinear windowed Fourier atoms form a frame of L²(ℝ).

Keywords:

AMSC: 42C05, 65R10

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