Spectral theory and x-ray diffraction
نویسنده
چکیده
where P(U) = J y p ( U’ + u) p( u’)~u’ is the autocorrelation of p; IN(s) is the measured intensity in the direction S, of radiation diffracted from a beam of wavelength A propagating in the direction Sc, with s= (S-&,)/A [Eq. (2.11) in Guinier].‘1&) clearly depends on the configuration of the given sample through P(U), and thus on the separations of scatterers and the relative frequencies of such separations. Ergodic theory enables us to relate IN(s) to part of the spectrum of a certain group of unitary operators acting on a Hilbert space. In this paper we prove that
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