Local Fourier Bases and Ultramodulation Spaces

Authors: SALTI SAMARAH, FADY HASAN

Abstract: It was proved that local Fourier bases are unconditional bases for modulation spaces M_{p.q}^w. We prove that the local Fourier bases are unconditional bases for ultramodulation spaces M_p^{w_{\gamma}}=M_{p.p}^{w_{\gamma}}, where 00, \gamma\in(0,1), x\in R.

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