Strong Limit Power Functions
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- Zhang, C. J Fourier Anal Appl (2006) 12: 291. doi:10.1007/s00041-006-6004-2
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A new C*-algebra of strong limit power functions is proposed. The Gelfand space of the C*-algebra is endowed with an Abelian compact group structure. As applications of this, Fourier analysis and the Bochner-Fejér approximation are carried out for a strong limit power function. Finally, the functions are extended to more general cases and their properties are investigated in that settings.