Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Chang, D. K., Rao, M. M.: Bimeasures and nonstationary processes. In: Real and Stochastic Analysis, edited by M. M. Rao, New York-Chichester-Brisbane-Toronto-Singapore: John Wiley & Sons 1986, pp. 7–118.
Christensen, E., Sinclair, A. M.: Representations of completely bounded multilinear operators. J. Funct. Anal. 72, 151–181. (1987).
Eymard, P.: L'algèbre de Fourier d'un groupe localement compact. Bull. Soc. Math. Fr. 92, 181–236 (1964).
Graham, C. C., Schreiber, B. M.: Bimeasure algebras on LCA groups. Pac. J. Math. 115, 91–127 (1984).
Grothendieck, A.: Résumé de la théorie métrique des produits tensoriels topologiques. Bol. Soc. Mat. São Paulo 8, 1–79 (1956).
Haagerup, U.: The Grothendieck inequality for bilinear forms on C*-algebras. Adv. Math., 56, 93–116 (1985).
Niemi, H.: On stationary dilations and the linear prediction of certain stochastic processes. Soc. Sci. Fenn. Comment. Phys.-Math. 45, 111–130 (1975).
Rao, M. M.: Harmonizable processes: structure theory. Enseign. Math., II. Ser. 28, 295–351 (1982).
Schaefer, H. H.: Topological vector spaces. New York: The Macmillan Company, London: Collier-Macmillan Limited 1966.
Takesaki, M.: Theory of operator algebras I. New York-Heidelberg-Berlin: Springer Verlag 1979.
Ylinen, K.: Fourier transforms of noncommutative analogues of vector measures and bimeasures with applications to stochastic processes. Ann. Acad. Sci. Fenn., Ser. A I 1, 355–385 (1975).
Ylinen, K.: Dilations of V-bounded stochastic processes indexed by a locally compact group. Proc. Am. Math. Soc. 90, 378–380 (1984).
Ylinen, K.: Random fields on noncommutative locally compact groups. In: Probability Measures on Groups VIII, Proceedings of a Conference held in Oberwolfach, November 10–16, 1985, pp. 365–386. Lecture Notes in Math. Vol. 1210, Berlin-Heidelberg-New York-London-Paris-Tokyo: Springer-Verlag 1986.
Ylinen, K.: Random fields on compact groups. In: The Very Knowledge of Coding, Studies in honor of Aimo Tietäväinen on the occasion of his fiftieth birthday, July 6, 1987, edited by H. Laakso and A. Salomaa, pp. 143–156. Turku: Turun yliopiston offsetpaino 1987.
Ylinen, K.: Noncommutative Fourier transforms of bounded bilinear forms and completely bounded multilinear operators. J. Funct. Anal. 79, 144–165 (1988).
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1989 Springer-Verlag
About this paper
Cite this paper
Ylinen, K. (1989). Completely bounded and related random fields on locally compact groups. In: Heyer, H. (eds) Probability Measures on Groups IX. Lecture Notes in Mathematics, vol 1379. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087867
Download citation
DOI: https://doi.org/10.1007/BFb0087867
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-51401-5
Online ISBN: 978-3-540-46206-4
eBook Packages: Springer Book Archive