Article

Journal of Fourier Analysis and Applications

, Volume 12, Issue 3, pp 291-306

Strong Limit Power Functions

  • Chuanyi ZhangAffiliated withDepartment of Mathematics, Harbin Institute of Technology, Harbin, 150001 Email author 

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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.