Once I met a notation of "spectral decomposition function" (for a selfadjoint operator). No definition was given. Could someone give me a clue what can that be, cause I can't find this exact phrase anywhere. Thank you!
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closed as no longer relevant by Scott Morrison♦ Jun 17 '13 at 2:49This question is unlikely to help any future visitors; it is only relevant to a small geographic area, a specific moment in time, or an extraordinarily narrow situation that is not generally applicable to the worldwide audience of the internet. For help making this question more broadly applicable, visit the help center. If this question can be reworded to fit the rules in the help center, please edit the question. 


My guess is that this is referring to the resolution of the identity corresponding to the operator, which is sometimes called the "spectral decomposition" (e.g. in Rudin, Functional Analysis) or "spectral function" (e.g. in Akhiezer and Glazman, Theory of Linear Operators in Hilbert Space). 

