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Stochastics
An International Journal of Probability and Stochastic Processes
Volume 81, 2009 - Issue 3-4: Stochastic Analysis
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Original Articles

Pascal white noise calculus

Abdessatar Barhoumi Department of Mathematics, Higher School of Sciences and Technology of Hammam-Sousse, Sousse University, Sousse, TunisiaCorrespondence[email protected]
,
Habib Ouerdiane Department of Mathematics, Faculty of Sciences of Tunis, University of Tunis El-Manar, 1060, Tunis, TunisiaView further author information
&
Anis Riahi Department of Mathematics, Faculty of Sciences of Tunis, University of Tunis El-Manar, 1060, Tunis, TunisiaView further author information
Pages 323-343 | Received 18 May 2008, Accepted 08 Feb 2009, Published online: 23 Jul 2009

Citations (11)

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Read on this site (3)

Jing Zhang, Caishi Wang, Lixia Zhang & Lu Zhang. (2023) Generalized weighted number operators on functionals of discrete-time normal martingales. Stochastics 95:6, pages 1078-1100.
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Jing Zhang, Caishi Wang, Lu Zhang & Lixia Zhang. (2022) Spectral integrals of Bernoulli generalized functionals. Stochastics 94:4, pages 519-536.
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Caishi Wang & Jinshu Chen. (2017) A characterization of operators on functionals of discrete-time normal martingales. Stochastic Analysis and Applications 35:2, pages 305-316.
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Articles from other publishers (8)

Anis Riahi. (2023) A chaotic decomposition for the fractional Lebesgue–Pascal noise space. Random Operators and Stochastic Equations 31:2, pages 177-183.
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Anis Riahi, Amine Ettaieb, Wathek Chammam & Ziyad Ali Alhussain. (2020) An Analytic Characterization of -White Noise Functionals . Journal of Mathematics 2020, pages 1-8.
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Jinshu Chen. (2018) Convergence Theorems for Operators Sequences on Functionals of Discrete-Time Normal Martingales. Journal of Function Spaces 2018, pages 1-8.
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Habib Rebei, Anis Riahi & Hafedh Rguigui. (2017) Quantum Pascal white noise fields. Indagationes Mathematicae 28:5, pages 1095-1108.
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Caishi Wang & Jinshu Chen. (2015) Characterization Theorems for Generalized Functionals of Discrete-Time Normal Martingale. Journal of Function Spaces 2015, pages 1-6.
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Caishi Wang & Jinshu Chen. (2015) Convergence Theorems for Generalized Functional Sequences of Discrete-Time Normal Martingales. Journal of Function Spaces 2015, pages 1-7.
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NOBUAKI OBATA & HABIB OUERDIANE. (2012) A NOTE ON CONVOLUTION OPERATORS IN WHITE NOISE CALCULUS. Infinite Dimensional Analysis, Quantum Probability and Related Topics 14:04, pages 661-674.
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LUIGI ACCARDI, ABDESSATAR BARHOUMI & ANIS RIAHI. (2011) WHITE NOISE LÉVY–MEIXNER PROCESSES THROUGH A TRANSFER PRINCIPAL FROM ONE-MODE TO ONE-MODE TYPE INTERACTING FOCK SPACES. Infinite Dimensional Analysis, Quantum Probability and Related Topics 13:03, pages 435-460.
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