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Strong Limit Power Functions

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Abstract

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.

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  1. Department of Mathematics, Harbin Institute of Technology, Harbin, 150001, China

    Chuanyi Zhang

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  1. Chuanyi Zhang
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Correspondence to Chuanyi Zhang.

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Zhang, C. Strong Limit Power Functions. J Fourier Anal Appl 12, 291–306 (2006). https://doi.org/10.1007/s00041-006-6004-2

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  • DOI: https://doi.org/10.1007/s00041-006-6004-2

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