Keywords
- Compact Abelian Group
- Spectral Space
- Cyclic Vector
- Process Space
- Linear Stochastic Differential Equation
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Chatterji, S.D. to be sumitted to Jahrbuch Überblicke Mathematik 1978, Bibliographisches Institut,Mannheim/Wien/Zürich.
Chobanyan, S.A, and Weron, A. Banach space valued stationary processes and their linear prediction, Dissertationes Math., 125 (1975), 1–50.
Doob, J.L. Stochastic Processes. Wiley (1953).
Gustafson, K. and Misra, B. Canonical commutation relations of quantum mechanics and stochastic regularity, Letters in Mathematical Physics, 1 (1976), 275–280.
Hanner, O. Deterministic and non-deterministic processes, Ark.Mat., 1 (1950), 161–177.
Helson, H. Lectures on invariant subspaces. Academic Press (1964).
Hewitt, E. and Ross, K.A. Abstract harmonic analysis II. Springer-Verlag (1970).
Hoffman, K. Banach spaces of analytic functions. Prentice-Hall (1962).
Kallianpur, G. and Mandrekar, V. Multiplicity and representation theory of purely non-deterministic stochastic processes, Theor. Probability Appl., 10 (1965), 553–581.
Lax, P.D. and Phillips, R.S. Scattering theory. Academic Press (1967).
Lewis, J.T. and Thomas, L.C. A characterization of regular solutions of a linear stochastic differential equation, Z. Wahrscheinlichkeitstheorie verw. Gebiete, 30 (1974), 45–55.
Loomis, L.H. Note on a theorem of Mackey, Duke Math.J., 19 (1952), 641–645.
Mackey, G.W. A theorem of Stone and von Neumann, Duke Math.J., 16 (1949), 313–326.
Induced representations of groups and quantum mechanics. Benjamin (1968).
Masani, P. Recent trends in multivariate prediction theory, Multivariate Analysis (P.R. Krishnaiah, Editor) Proc. Internat.Sympos. (Dayton, Ohio, 1965) Academic Press (1966), 351–382.
Quasi-isometric measures and their applications, Bull. Amer. Math. Soc., 76 (1970), 427–528.
Dilations as propagators of Hilbertian varieties (to be published).
Muhly, P.S. The distant future, Indiana Univ. Math.J., 24 (1974) 149–159.
Salehi, H. and Scheidt, J.K. Interpolation of q-variate stationary stochastic processes over a locally compact abelian group, J. Multivariate Anal., 2 (1972), 307–331.
Tjøstheim, D. A commutation relation for wide sense stationary processes, SIAM J. Appl. Math., 30 (1976), 115–122.
Spectral representations and density operators for infinite-dimensional homogeneous random fields, Z. Wahrscheinlichkeitstheorie verw. Gebiete, 35 (1976), 323–336.
Varadarajan, V.S. Geometry of quantum mechanics II, Van Nostrand (1970).
Weron, A. On characterizations of interpolable and minimal stationary processes, Studia Math., 49 (1974), 165–183.
(with Makagon, A.) Wold-Cramèr concordance theorems for interpolation of q-variate stationary processes over locally compact abelian groups, J. Multivariate Anal., 6 (1976), 123–137.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1978 Springer-Verlag
About this paper
Cite this paper
Chatterji, S.D. (1978). Stochastic processes and commutation relationships. In: Aron, R.M., Dineen, S. (eds) Vector Space Measures and Applications II. Lecture Notes in Mathematics, vol 645. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0069659
Download citation
DOI: https://doi.org/10.1007/BFb0069659
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-08669-7
Online ISBN: 978-3-540-35903-6
eBook Packages: Springer Book Archive
