A possible definition of a stationary tangent

Stochastic Processes and their Applications

Volumn 88, Issue 1, 2000, Pages 1-36

  Keich, U ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

34G10; 47A57; 60G10; 60G15; Curvature functions; Moment problem; Stationary processes; Stationary tangent; Tri diagonal matrices

Indexed keywords

EID: 0002828520     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-4149(99)00116-7     Document Type: Article

References (15)

1. Akhiezer, N.I., 1965. The Classical Moment Problem and some Related Questions in Analysis. Hafner Publishing Company, New York.
2. Akhiezer, N.I., Glazman, I.M., 1981. Theory of Linear Operators in Hilbert Space. Pitman, London.
3. Goldstein, J.I., 1985. Semigroups of Linear Operators and Applications. Oxford University Press, Oxford.
4. Itô K., Nisio M. On the convergence of sums of independent Banach space valued random variables. Osaka J. Math. 5:1968;35-48.
5. Keich U. Krein's strings, the symmetric moment problem, and extending a real positive definite function. Comm. Pure Appl. Math. 52(10):1999;1315-1334.
6. Keich, U., 1996. Stationary approximation to non-stationary stochastic processes. Doctoral dissertation. Courant Institute of Mathematical Sciences.
7. Krein M.G. On the continuation problem for Hermitian-positive continuous functions. Dokl. Akad. Nauk SSSR. 26:1940;17-21.
8. Krein M.G. On the problem of continuation of helical arcs in Hilbert space. Dokl. Akad. Nauk SSSR. 45:1944;147-150.
9. Loève, M., 1963. Probability Theory, 3rd Edition. Van Nostrand, Princeton, NJ.
10. Mallat S., Papanicolaou G.C., Zhang Z. Adaptive covariance estimation of locally stationary processes. Ann. Statist. 26(1):1998;1-47.
11. von Neumann J., Schoenberg I.J. Fourier integrals and metric geometry. Trans. Amer. Math. Soc. 50:1941;226-251.
12. Priestley, M.B., 1988. Non-linear and Non-stationary Time Series Analysis. Academic Press, New York.
13. Priestley M.B. Wavelets and time-dependent spectral analysis. J. Time Ser. Anal. 17(1):1996;85-103.
14. Simon B. The classical moment problem as a self-adjoint finite difference operator. Adv. in Math. 137(1):1998;82-203.
15. Spivak, M., 1979. Differential Geometry. Publish or Perish, Berkeley, CA.