Representation of Mean-periodic Functions in Series of Exponential Polynomials
نویسنده
چکیده
Let θ be a Young function and consider the space Fθ(C) of all entire functions with θ-exponential growth. In this paper, we are interested in the solutions f ∈ Fθ(C) of the convolution equation T ⋆ f = 0, called mean-periodic functions, where T is in the topological dual of Fθ(C). We show that each mean-periodic function can be represented in an explicit way as a convergent series of exponential polynomials.
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تاریخ انتشار 2008