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21.
A. N. Volobuev A. P. Tolstonogov 《Journal of Surface Investigation: X-ray, Synchrotron and Neutron Techniques》2011,5(6):1173-1179
Various types of interaction of high-energy photons with free electrons in substances have been studied. It is shown that
photon absorption by electrons, coherent photon scattering, noncoherent photon scattering, and electron-stopping after interaction
with photons can be observed in substances. The dependence of the photon-wavelength variation after interaction with electrons
on substance parameters and electron propagation velocity is obtained. 相似文献
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Some density theorems of L p-continuous selectors whose values are extreme points are proved for a class of multivalued maps. applications to the Darboux problem for a differential inclusion are presented. 相似文献
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A. A. Tolstonogov 《Mathematical Notes》1977,22(2):604-609
The properties of the space (Xx) of all sublinear functionals, defined on a space X' (topologically adjoint to a Hausdorff locally convex barrelled space X) and continuous in the Arens topology × (X, X), equipped with topology of uniform convergence on bounded subsets of X are studied. It is shown that completeness and separability of a space X are hereditary for (Xx). Criteria for the compactness of subsets of (Xx) and conditions for the metrizability of compacta in (Xx) are given. The topological isomorphism between (Xx) and the space of all nonempty convex compacta in X with the Vietoris topology is established. The results obtained here are applied for the study of the properties of multiple-valued integrals.Translated from Matematicheskie Zametki, Vol. 22, No. 2, pp. 203–213, August, 1977.The author thanks S. S. Kutateladze for useful discussions regarding this article. 相似文献
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The existence theorems of L p -continuous selectors that values are extreme points are proved for a class of multivalued maps. Applications to multivalued maps appearing in multivalued differential equations are presented. 相似文献