This is a preview of subscription content, log in via an institution.
Preview
Unable to display preview. Download preview PDF.
References
Cooper, J.L.B. One parameter semigroups of isometric operators. Ann. of Math. 48, (1947) 827–842.
Friedman, Avner. Generalized functions and partial differential equations. Academic Press, New York.
Helson, H. Lectures on invariant subspaces. Academic Press, New York, 1963.
Kallianpur, G. and Mandrekar, V. Semigroups of isometries and the representation and multiplicity of weakly stationary stochastic processes. Arkiv för Mat. (1966) 319–335.
—. Nondeterministic random fields and Wold and Halmos decompositions for commuting isometries. Tech. Report 2, Center for Stochastic Processes, University of North Carolina; November, 1981.
Nagy, Sz. B. Spectraldarstellung linearer transformationen des Hilbertschen Raumes. Ergebnisse der Mathematik und ihrer Grenzgebiete, Springer, 1942.
Plesner, A.I. Spectral theory of linear operators. Vol II, Unger, New York, 1969.
Reed, M. and Simon, B. Methods of Modern Mathematical Physics, III, Scattering Theory, Academic Press, New York, 1979.
Tjøstheim, D. Multiplicity theory of random fields using quantum mechanical methods. Prob. on Vector Spaces, Lecture Notes in Math #656, Springer-Verlag, 1978.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1983 Springer-Verlag
About this paper
Cite this paper
Kallianpur, G., Mandrekar, V. (1983). Commuting semigroups of isometries and karhunen representation of second order stationary random fields. In: Kallianpur, G. (eds) Theory and Application of Random Fields. Lecture Notes in Control and Information Sciences, vol 49. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0044687
Download citation
DOI: https://doi.org/10.1007/BFb0044687
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-12232-6
Online ISBN: 978-3-540-39564-5
eBook Packages: Springer Book Archive