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MATHEMATICA BOHEMICA, Vol. 121, No. 3, pp. 249-262, 1996
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Structure of Fourier exponents of almost periodic functions and periodicity of almost periodic functions

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Alexandr Fischer

* Alexandr Fischer*, Czech Technical University, Faculty of Mechanical Engineering, Dept. of Technical Mathematics, Karlovo nam. 13, 121 35 Praha 2, Czech Republic

**Abstract:** 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 $AP(\X)$.

**Keywords:** almost periodicity (Bohr), Fourier coefficient, Fourier exponent, Bochner transformation

**Classification (MSC91):** 42A75

**Full text of the article:**

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