spectral measure

spectral measure

[′spek·trəl ′mezh·ər]
(mathematics)
A measure on the spectrum of an operator on a Hilbert space whose values are projection operators there; spectral theorems concerning linear operators often give an integral representation of the operator in terms of these projection valued measures.
References in periodicals archive ?
Specific tasks include computation of the Hausdorff dimension for the spectral measure of interval exchange maps (problem posed by Ya.
Then one can define the joint spectral measure on [R.
Then a nonnegative Radon measure [sigma](d[xi]) on [0, [infinity]) is called a spectral measure if the Plancherel identity
Rodriguez-Velazquez, Spectral measures of bipartivity in complex networks, Phys.
A possible explanation for conflicting results is that the individual's response is greatly influenced by the baseline cardiovascular autonomic function, thus producing large inter-subject variation in the conventional non-spectral and spectral measures of cardiovascular variability.
The first two articles describe those measures and applications of spectral measures.
The first phase aimed at the characterization of the induced states in terms of spectral measures of the electrical brain activity (EEG).
Now known properties about the spectral measures and theorem yield

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