Asymptotic transition from Fourier series to integrals in LGT
نویسنده
چکیده
It is shown that in asymptotic transition from Fourier series to integrals an error and ambiguity may arise. Ambiguity reduces to a possibility of addition of some distribution to the result. Properties of such distributions are studied and conditions are established under which ambiguity doesn’t arise. Method for correction computation is suggested and conditions for correction turning to zero are specified.
منابع مشابه
Errors and ambiguity in transition from Fourier series to Fourier integrals
Transition from Fourier series to Fourier integrals is considered and error introduced by ordinary substitution of integration for summing is estimated. Ambiguity caused by transition from discrete function to continuous one is examined and conditions under which this ambiguity does not arise are suggested.
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تاریخ انتشار 2006