Turkish Journal of Mathematics

Local Fourier Bases and Ultramodulation Spaces
Salti SAMARAH, Fady HASAN
Department of Mathematics,
Jordan university of Science & Technology
Irbid-JORDAN
e-mail: samarah@just.edu.jo

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_g=M_p.p^w_g, where 0<p<\infty and w_g=e^{s|x|^g}, s >0, g\in(0,1), x\in R.

Turk. J. Math., 33, (2009), 193-203.
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Other articles published in the same issue: Turk. J. Math.,vol.33,iss.2.