R. F. Arenstorf

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Here we will show that T (s)− B2(s − 1) −1 can be continuously extended onto the line Re s = 1, (Th.1). This enables application of the powerful complex Tauberian theorem of Wiener and Ikehara (1931) and then almost immediately yields our main result, (Th.2). The ideas basic to our proof of Th.1 are plain: We are striving to exhibit a relation between T (s)(More)
The intensity of multiple echoes separated by a time 2 tau has been modeled using the closed form of a finite geometric series. This eliminates long exponential series, introduces the number of echoes as an independent parameter, and corrects for the net T1 relaxation during the echo train. Other sequences having echo trains can be modeled similarly.
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