Quasi-Free Stochastic Integrals and Martingale Representation

W. J. Spring

doi:10.1142/9789812835277_0019

Quasi-Free Stochastic Integrals and Martingale Representation

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

We discuss the construction of quantum stochastic integrals over the positive plane. Non-commutative representations for the quasi-free CAR and CCR settings are presented extending results obtained previously for martingales over the two parameter plane.

Original language	English
Title of host publication	Proceedings of the 28th Conference on Quantum Probability and Related Topics
Editors	JC Garcia, R Quezada, SB Sontz
Place of Publication	Singapore
Publisher	World Scientific Publishing
Pages	236-241
Number of pages	6
Volume	23
ISBN (Print)	978-981-283-526-0
DOIs	https://doi.org/10.1142/9789812835277_0019
Publication status	Published - Nov 2008
Event	Proceedings of the 28th Conference Proceedings of the 28th Conference Quantum Probability and Related Topics - Guanajuato, Mexico Duration: 2 Sept 2007 → 8 Sept 2007

Conference

Conference	Proceedings of the 28th Conference Proceedings of the 28th Conference Quantum Probability and Related Topics
Country/Territory	Mexico
City	Guanajuato
Period	2/09/07 → 8/09/07

Keywords

martingale
representation
isometry
quantum stochastic integrals

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10.1142/9789812835277_0019Licence: Unspecified

Cite this

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title = "Quasi-Free Stochastic Integrals and Martingale Representation",

abstract = "We discuss the construction of quantum stochastic integrals over the positive plane. Non-commutative representations for the quasi-free CAR and CCR settings are presented extending results obtained previously for martingales over the two parameter plane.",

keywords = "martingale, representation, isometry, quantum stochastic integrals",

author = "Spring, {W. J.}",

note = "Original paper can be found at: http://eproceedings.worldscinet.com/ Copyright World Scientific [Full text of this paper is not available in the UHRA]; Proceedings of the 28th Conference Proceedings of the 28th Conference Quantum Probability and Related Topics ; Conference date: 02-09-2007 Through 08-09-2007",

year = "2008",

month = nov,

doi = "10.1142/9789812835277_0019",

language = "English",

isbn = "978-981-283-526-0",

volume = "23",

pages = "236--241",

editor = "JC Garcia and R Quezada and SB Sontz",

booktitle = "Proceedings of the 28th Conference on Quantum Probability and Related Topics",

publisher = "World Scientific Publishing",

address = "Singapore",

}

Spring, WJ 2008, Quasi-Free Stochastic Integrals and Martingale Representation. in JC Garcia, R Quezada & SB Sontz (eds), Proceedings of the 28th Conference on Quantum Probability and Related Topics. vol. 23, World Scientific Publishing, Singapore, pp. 236-241, Proceedings of the 28th Conference Proceedings of the 28th Conference Quantum Probability and Related Topics, Guanajuato, Mexico, 2/09/07. https://doi.org/10.1142/9789812835277_0019

TY - GEN

T1 - Quasi-Free Stochastic Integrals and Martingale Representation

AU - Spring, W. J.

N1 - Original paper can be found at: http://eproceedings.worldscinet.com/ Copyright World Scientific [Full text of this paper is not available in the UHRA]

PY - 2008/11

Y1 - 2008/11

N2 - We discuss the construction of quantum stochastic integrals over the positive plane. Non-commutative representations for the quasi-free CAR and CCR settings are presented extending results obtained previously for martingales over the two parameter plane.

AB - We discuss the construction of quantum stochastic integrals over the positive plane. Non-commutative representations for the quasi-free CAR and CCR settings are presented extending results obtained previously for martingales over the two parameter plane.

KW - martingale

KW - representation

KW - isometry

KW - quantum stochastic integrals

U2 - 10.1142/9789812835277_0019

DO - 10.1142/9789812835277_0019

M3 - Conference contribution

SN - 978-981-283-526-0

VL - 23

SP - 236

EP - 241

BT - Proceedings of the 28th Conference on Quantum Probability and Related Topics

A2 - Garcia, JC

A2 - Quezada, R

A2 - Sontz, SB

PB - World Scientific Publishing

CY - Singapore

T2 - Proceedings of the 28th Conference Proceedings of the 28th Conference Quantum Probability and Related Topics

Y2 - 2 September 2007 through 8 September 2007

ER -

Quasi-Free Stochastic Integrals and Martingale Representation

Abstract

Conference

Keywords

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