Abstract
Questions related to Stieltjes transforms of jump functions with a dense set of jump points are presented.
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References
N.I. AKHIEZER, The Classical Moment Problem, Oliver & Boyd, Edinburgh 1965.
P.W. ANDERSON, Absence of diffusion in certain random lattices, Phys. Rev. 109 (1958) 1492–1505.
B. BALIAN, R. MAYNARD, G. TOULOUSE, editors, Les Houches Summer School Proceedings: Ill-Condensed Matter, North-Holland, N.Y. 1979.
T.S. CHIRARA, An Introduction to Orthogonal Polynomials, Gordon & Breach, N.Y. 1978.
T.S. CHIRARA, Orthogonal polynomials whose distribution functions have finite point spectra. SIAM J. Math. Anal. 11 (1980) 358–364.
J.P. GASPARD, F. CYROT-LACKMANN, Density of states from moments. Application to the impurity band. J. of Physics C: Solid State Phys. 6 (1973) 3077–3096.
R. HAYDOCK, Study of a mobility edge by a new perturbation theory. Phil. Mag. B 37 (1978) 97–109.
R. HAYDOCK, The recursive solution of the Schrödinger equation. Solid State Phys. 35 (1980) 215–294.
C.H. HODGES, D. WEAIRE, N. PAPADOPOULOS, The recursion method and Anderson localisation. J. Phys. C 13 (1980) 4311–4321.
C.H. HODGES, Van Hove singularities and continued fraction coefficients. J. Phys. Lett. 38 (1977) L187–L189.
K. ISHII, Localization of eigenstates and transport phenomena in the one-dimensional disordered system. Suppl. Prog. Theor. Phys. 53 (1973) 77–138.
R. JOHNSTON, Localisation and localisation edges—a precise characterisation. Preprint Blackett Laboratory, Imperial College London 1980.
T. KATO, Perturbation Theory for Linear Operators, Springer, Berlin 1966.
J.C. KIMBALL, Localisation and spectra in solid state systems. J. Phys. C 11 (1978) 4347–4354.
J. KIMBALL, Two special cases of Anderson localisation. J. Phys. C 13 (1980) 5701–5708.
Al. MAGNUS, Recurrence coefficients for orthogonal polynomials on connected and non connected sets, pp. 150–171 in L. WUYTACK, editor: Padé Approximation and its Applications, Lecture Notes Math. 765, Springer, Berlin 1979.
P.G. NEVAI, Orthogonal Polynomials, Memoirs AMS, Providence 1979.
R.D. RICHTMYER, Principles of Advanced Mathematical Physics, Springer, N.Y. 1978.
J. STEIN, U. KREY, Numerical studies on the Anderson localization problem. Z. Physik B 34 (1979) 287–296; 37 (1980) 13–22.
G. SZEGÖ, Orthogonal Polynomials. AMS Providence 1939.
H.S. WALL, Analytic Theory of Continued Fractions, Van Nostrand, Princeton 1948.
D. WEAIRE, B. KRAMER, Numerical methods in the study of the Anderson transition. J. Non-Crystalline Solids 32 (1979) 131–140.
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Magnus, A. (1981). Recurrence coefficients in case of Anderson localisation. In: de Bruin, M.G., van Rossum, H. (eds) Padé Approximation and its Applications Amsterdam 1980. Lecture Notes in Mathematics, vol 888. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0095596
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DOI: https://doi.org/10.1007/BFb0095596
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