Several Problems of Fouries Series Expansion

Ding Xuan-hao · 2004

We will discuss the following questions about Fouries series expansion:\;(1)What are the differences of Fouries series expansion between the function f(x) regarding 2π as a period and the function f(x) just defined in ?(2)If the function f(x) is just defined in a period or a half period, what conditions are satisfied for the values of f(x) in the intervals termipoints?\;(3)If 2l is regarded as a period of f(x), and then 2kl is also a period of f(x), naturally, the fouries series expansion of f(x) whether it is related to the period or not becomes clear.

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