Yoshioka, Yoshiake On the singularity of the spectral measures of a semi-infinite random system. (English) Zbl 0295.47031 Proc. Japan Acad. 49, 665-668 (1973). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 7 Documents MSC: 47B15 Hermitian and normal operators (spectral measures, functional calculus, etc.) 47A10 Spectrum, resolvent 60H99 Stochastic analysis 60J60 Diffusion processes 60G30 Continuity and singularity of induced measures 39A10 Additive difference equations × Cite Format Result Cite Review PDF Full Text: DOI References: [1] H. Matsuda and K. Ishii: Localization of normal mode and energy transport in the disordered harmonic chain. Prog. Theor. Phys. Suppl., 45, 56-86 (1970). [2] K. Ishii: Localization of eigenstates and transport phenomena in the one dimensional disordered system (to appear in Prog. Theor. Phys. Suppl.). · Zbl 0711.54019 [3] A. Casher and J. L. Lebowitz: Heat flow in regular and disordered harmonic chains. J. Math. Phys., 12(8), 1701-1711 (1971). [4] H. Furstenberg: Non commuting random products. Trans. Amer. Math. Soc, 108, 377-428 (1963). JSTOR: · Zbl 0203.19102 · doi:10.2307/1993589 [5] N. I. Akhiezer: The Classical Moment Problem. Oliver & Boyd Ltd. (1965). [6] H. Wall: Analytic Theory of Continued Fractions. Chelsea. Publ. Comp. (1948). · Zbl 0035.03601 [7] K. Hoffman: Banach Spaces of Analytic Functions. Prentice-Hall (1965). · Zbl 0117.34001 [8] T. Asahi and S. Kashiwamura: Spectral theory of the difference equations in isotopically disordered harmonic chains. Prog. Theor. Phys., 48, 361-371 (1972). · Zbl 1098.82501 · doi:10.1143/PTP.48.361 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.