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Spectral Functions in Mathematics and Physics is written by Klaus Kirsten and published by CRC Press. It's available with International Standard Book Number or ISBN identification 1000738159 (ISBN 10) and 9781000738155 (ISBN 13).
The literature on the spectral analysis of second order elliptic differential operators contains a great deal of information on the spectral functions for explicitly known spectra. The same is not true, however, for situations where the spectra are not explicitly known. Over the last several years, the author and his colleagues have developed new,