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
Abe, E.: Hopf algebras. Cambridge: Cambridge University Press 1980
Accardi, L., Schürmann, M., Waldenfels, W.v.: Quantum independent increment processes on superalgebras. Math. Z. 198, 451–477 (1988)
Araki, H.: Factorizable representation of current algebra. Publ. Res. Inst. Math. Sci. 5, 361–422 (1970)
Glockner, P.: *-Bialgebren in der Quantenstochastik. Dissertation, Heidelberg 1989
Glockner, P., Waldenfels, W.v.: The relations of the non-commutative coefficient algebra of the unitary group. SFB-Preprint Nr. 460, Heidelberg 1988
Guichardet, A.: Symmetric Hilbert spaces and related topics. (Lect. Notes Math. vol. 261). Berlin Heidelberg New York: Springer 1972
Heyer, H.: Probability measures on locally compact groups. Berlin Heidelberg New York: Springer 1977
Hudson, R.L., Parthasarathy, K.R.: Quantum Ito’s formula and stochastic evolutions. Commun. Math. Phys. 93, 301–323 (1984)
Hunt, G.A.: Semi-groups of measures on Lie groups. Trans. Amer. Math. Soc. 81, 264–293 (1956)
Mathon, D., Streater, R.F.: Infinitely divisible representations of Clifford algebras. Z. Wahrscheinlichkeitstheorie verw. Geb. 20, 308–316 (1971)
Schürmann, M.: Positive and conditionally positive linear functionals on coalgebras. In: Accardi, L., Waldenfels, W.v. (eds) Quantum Probability and Applications II. Proceedings, Heidelberg 1984. (Lect. Notes Math., vol. 1136). Berlin Heidelberg New York: Springer 1985
Schürmann, M.: Noncommutative stochastic processes with independent and stationary increments satisfy quantum stochastic differential equations. To appear in Probab. Th. Rel. Fields
Schürmann, M: A class of representations of involutive bialgebras. To appear in Math. Proc. Cambridge Philos. Soc.
Schürmann, M.: Quantum stochastic processes with independent additive increments. Preprint, Heidelberg 1989
Streater, R.F.: Infinitely divisible representations of Lie algebras. Z. Wahrscheinlichkeitstheorie verw. Geb. 42, 67–80 (1971)
Sweedler, M.E.: Hopf algebras. New York: Benjamin 1969
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1990 Springer-Verlag
About this paper
Cite this paper
Schürmann, M. (1990). Gaussian states on bialgebras. In: Accardi, L., von Waldenfels, W. (eds) Quantum Probability and Applications V. Lecture Notes in Mathematics, vol 1442. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0085528
Download citation
DOI: https://doi.org/10.1007/BFb0085528
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-53026-8
Online ISBN: 978-3-540-46311-5
eBook Packages: Springer Book Archive