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Fischer, Alexandr
Structure of Fourier exponents of almost periodic functions and periodicity of almost periodic functions. (English). Mathematica Bohemica, vol. 121 (1996), issue 3, pp. 249-262
MSC: 42A32, 42A75 | MR 1419878 | Zbl 0863.42012 | DOI: 10.21136/MB.1996.125993
Keywords:
almost periodicity (Bohr); Fourier coefficient; Fourier exponent; Bochner transformation
Summary:
The paper deals with almost periodic functions which are limits of sequences of continuous periodic functions, and determines the structure of their Fourier exponents and their ranges. It is shown that the class $CP(\X)$ of continuous periodic functions is not densely distributed in the space $AP(\X)$.
References:
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