Two unsolved problems on almost periodic type functions |
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Authors: | Chuanyi Zhang Junwei Liu |
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Institution: | Department of Mathematics, Harbin Institute of Technology, Harbin, 150001, People’s Republic of China |
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Abstract: | We first show that like a scalar-valued case, a vector-valued weakly almost periodic function also satisfies the Parseval’s equality. Then we show that the space of vector-valued weakly almost periodic functions is a proper subspace of pseudo almost periodic functions. These solve two open questions on almost periodic type functions. |
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