A duality theorem between spaces of holomorphic functions of exponential growth.
(Un théorème de dualité entre espaces de fonctions holomorphes à croissance exponentielle.) Zbl 0969.46018
Gannoun, R.; Hachaichi, R.; Ouerdiane, H.; Rezgui, A. |
|
2000
|
Analytic characterization of generalized Fock space operators as two-variable entire functions with growth condition. Zbl 1050.60070
Ji, Un Cig; Obata, Nobuaki; Ouerdiane, Habib |
|
2002
|
QWN-conservation operator and associated Wick differential equation. Zbl 1331.60146
Ouerdiane, Habib; Rguigui, Hafedh |
|
2012
|
Stochastic heat equation on algebra of generalized functions. Zbl 1278.60106
Barhoumi, Abdessatar; Ouerdiane, Habib; Rguigui, Hafedh |
|
2012
|
QWN-Euler operator and associated Cauchy problem. Zbl 1248.60081
Barhoumi, Abdessatar; Ouerdiane, Habib; Rguigui, Hafedh |
|
2012
|
A quantum approach to Laplace operators. Zbl 1097.60065
Accardi, Luigi; Barhoumi, Abdessatar; Ouerdiane, Habib |
|
2006
|
Convolution calculus and applications to stochastic differential equations. Zbl 1029.60055
Ben Chrouda, Mohamed; El Oued, Mohamed; Ouerdiane, Habib |
|
2002
|
Algebras of operators on holomorphic functions and applications. Zbl 1032.60063
Chrouda, M. Ben; Ouerdiane, H. |
|
2002
|
Pascal white noise calculus. Zbl 1180.60057
Barhoumi, Abdessatar; Ouerdiane, Habib; Riahi, Anis |
|
2009
|
Powers of quantum white noise derivatives. Zbl 1309.60075
Ettaieb, Aymen; Ouerdiane, Habib; Rguigui, Hafedh |
|
2014
|
A note on convolution operators in white noise calculus. Zbl 1234.60069
Obata, Nobuaki; Ouerdiane, Habib |
|
2011
|
Stochastic solutions of a KPP-type nonlinear fractional differential equation. Zbl 1499.35625
Cipriano, F.; Ouerdiane, H.; Vilela Mendes, R. |
|
2009
|
On the quadratic Heisenberg group. Zbl 1213.60123
Accardi, Luigi; Ouerdiane, Habib; Rebeï, Habib |
|
2010
|
Renormalized square of white noise quantum time shift. Zbl 1331.60134
Accardi, Luigi; Ouerdiane, Habib; Rebei, Habib |
|
2012
|
Generalized Gross heat equation with noises. Zbl 1113.60066
Barhoumi, Abdessatar; Kuo, Hui-Hsiung; Ouerdiane, Habib |
|
2006
|
Generalized fractional evolution equation. Zbl 1153.46026
da Silva, J. L.; Erraoui, M.; Ouerdiane, H. |
|
2007
|
Gross Laplacian acting on operators. Zbl 1178.60050
Horrigue, Samah; Ouerdiane, Habib |
|
2009
|
Kernels and symbols of operators on Gaussian analytic functionals.
(Noyaux et symboles d’opérateurs sur des fonctionnelles analytiques Gaussiennes.) Zbl 0887.46020
Ouerdiane, Habib |
|
1995
|
Nuclear algebras of entire functions and stochastic partial differential equations.
(Algebres nucléaires de fonctions entières et équations aux derivées partielles stochastiques.) Zbl 0921.60036
Ouerdiane, H. |
|
1998
|
Invariant measure for some differential operators and unitarizing measure for the representation of a Lie group. Examples in finite dimension. Zbl 1260.60157
Airault, Hélène; Ouerdiane, Habib |
|
2012
|
Higher powers of analytical operators and associated \(\ast\)-Lie algebras. Zbl 1342.60117
Ettaieb, Aymen; Khalifa, Narjess Turki; Ouerdiane, Habib; Rguigui, Hafedh |
|
2016
|
Unitary representations of the Witt and \(sl(2,\mathbb R)\)-algebras through renormalized powers of the quantum Pascal white noise. Zbl 1180.60068
Barhoumi, Abdessatar; Ouerdiane, Habib; Riahi, Anis |
|
2008
|
White noise approach to stochastic integration. Zbl 1119.60038
Accardi, Luigi; Ayed, Wided; Ouerdiane, Habib |
|
2005
|
Quantum Lévy Laplacian and associated heat equation. Zbl 1134.35105
Ji, Un Cig; Obata, Nobuaki; Ouerdiane, Habib |
|
2007
|
Cauchy problem and integral representation associated to the power of the QWN-Euler operator. Zbl 1331.60140
Ettaieb, Aymen; Ouerdiane, Habib; Rguigui, Hafedh |
|
2012
|
Generalized Euler heat equation. Zbl 1214.46024
Barhoumi, Abdessatar; Ouerdiane, Habib; Rguigui, Hafedh |
|
2010
|
Quantum Laplacian and applications. Zbl 1206.60066
Horrigue, Samah; Ouerdiane, Habib |
|
2010
|
Feynman graph representation of the perturbation series for general functional measures. Zbl 1145.82004
Djah, Sidi Hamidou; Gottschalk, Hanno; Ouerdiane, Habib |
|
2005
|
Generalized Feynman-Kac formula with stochastic potential. Zbl 1056.60061
Ouerdiane, Habib; Silva, José Luis |
|
2002
|
Unitarising measures for the representations of affine group and associated invariant operators. Zbl 1360.58007
Airault, H.; Jendoubi, S.; Ouerdiane, H. |
|
2013
|
Ornstein-Uhlenbeck operators and unitarizing measures in the Poincaré disk. Zbl 1185.31006
Airault, Hélène; Ouerdiane, Habib |
|
2009
|
Analytic functionals with growth condition and application to Gaussian analysis.
(Fonctionnelles analytiques avec condition de croissance, et application à l’analyse gaussienne.) Zbl 0838.46032
Ouerdiane, Habib |
|
1994
|
Surface measures on the dual space of the Schwartz space. Zbl 1331.60136
Chaari, S.; Cipriano, F.; Kuo, H.-H.; Ouerdiane, H. |
|
2010
|
Lévy processes through time shift on oscillator Weyl algebra. Zbl 1331.60158
Accardi, Luigi; Ouerdiane, Habib; Rebei, Habib |
|
2012
|
Large deviations for infinite dimensional analytical distributions. Zbl 1128.60020
Chaari, S.; Cipriano, F.; Ouerdiane, H. |
|
2006
|
Quantum heat equation with quantum \(K\)-Gross Laplacian: solutions and integral representation. Zbl 1211.81084
Horrigue, Samah; Ouerdiane, Habib |
|
2010
|
Feynman graphs for non-Gaussian measures. Zbl 1180.82009
Djah, Sidi Hamidou; Gottschalk, Hanno; Ouerdiane, Habib |
|
2008
|
On spectral approach to Pascal white noise functionals. Zbl 1242.81089
Barhoumi, Abdessatar; Ouerdiane, Habib; Riahi, Anis |
|
2011
|
Expansion in series of exponential polynomials of mean-periodic functions. Zbl 1293.30062
Ouerdiane, H.; Ounaïes, M. |
|
2012
|
Asymptotic estimates for white noise distributions. Zbl 1044.60075
Ouerdiane, Habib; Privault, Nicolas |
|
2004
|
Connes-Hida calculus and Bismut-Quillen superconnections. Zbl 1126.81314
Léandre, R.; Ouerdiane, H. |
|
2005
|
Schilder’s theorem for Gaussian white noise distributions. Zbl 1128.60056
Chaari, Sonia; Gheryani, Soumaya; Ouerdiane, Habib |
|
2007
|
Convolution calculus on white noise spaces and Feynman graph representation of generalized renormalization flows. Zbl 1128.60057
Gottschalk, Hanno; Ouerdiane, Habib; Smii, Boubaker |
|
2007
|
Solutions of evolution equations associated to infinite-dimensional Laplacian. Zbl 1351.81044
Ouerdiane, Habib |
|
2016
|
\(P(\phi)_1\)-process for the spin-boson model and a functional central limit theorem for associated additive functionals. Zbl 1394.60025
Gheryani, Soumaya; Hiroshima, Fumio; Lorinczi, József; Majid, Achref; Ouerdiane, Habib |
|
2017
|
Generalized fraction evolution equations with fractional Gross Laplacian. Zbl 1351.60081
Horrigue, Samah; Ouerdiane, Habib; Salhi, Imen |
|
2016
|
Module white noise calculus. Zbl 1199.60251
Accardi, L.; Ayed, W.; Ouerdiane, H. |
|
2007
|
Dualité et opérateurs de convolution dans certains espaces de fonctions ”entières nucleaires de type exponentiel”. Zbl 0529.46033
Ouerdiane, Habib |
|
1983
|
Sanov’s theorem for white noise distributions and application to the Gibbs conditioning principle. Zbl 1160.60009
Chaari, S.; Cipriano, F.; Gheryani, Soumaya; Ouerdiane, H. |
|
2008
|
White noise Heisenberg evolution and Evans-Hudson flows. Zbl 1112.60052
Accardi, Luigi; Ayed, Wided; Ouerdiane, Habib |
|
2007
|
Large deviation principle for white noise Gaussian measures. Zbl 1115.60032
Chaari, Sonia; Gheryani, Soumaya; Ouerdiane, Habib |
|
2006
|
A nonlinear stochastic equation of convolution type. Zbl 1130.60067
Cipriano, F.; Ouerdiane, H.; Silva, J. L.; Mendes, R. Vilela |
|
2007
|
Heat equation associated with Lévy Laplacian. Zbl 1110.81123
Obata, Nobuaki; Ouerdiane, Habib |
|
2004
|
Stochastic convolution-type heat equations with nonlinear drift. Zbl 1113.60067
Erraoui, Mohamed; Ouerdiane, Habib; da Silva, José Luís |
|
2007
|
A Bochner-Minlos theorem with an integrability condition.
(Un théorème de Bochner-Minlos avec une condition d’intégrabilité.) Zbl 1034.46503
Ouerdiane, Habib; Rezgui, Anis |
|
2000
|
On the stochastic transport equation of convolution type. Zbl 1085.60044
Ouerdiane, Habib |
|
2004
|
Quantum stochastic process associated with quantum Lévy Laplacian. Zbl 1328.60167
Ji, Un Cig; Ouerdiane, Habib; Saitô, Kimiaki |
|
2007
|
Convolution equation: solution and probabilistic representation. Zbl 1225.60116
da Silva, José L.; Erraoui, Mohamed; Ouerdiane, Habib |
|
2010
|
On operator-parameter transforms based on nuclear algebra of entire functions and applications. Zbl 1208.81125
Barhoumi, Abdessatar; Ouerdiane, Habib; Rguigui, Hafedh; Riahi, Anis |
|
2010
|
Quantum white noise Feynman-Kac formula. Zbl 1391.60136
Ettaieb, Aymen; Turki Khalifa, Narjess; Ouerdiane, Habib |
|
2018
|
Rotation invariance of quantum Laplacians. Zbl 1257.81047
Horrigue, Samah; Ouerdiane, Habib |
|
2012
|
Quantum white noise Feynman-Kac formula. Zbl 1391.60136
Ettaieb, Aymen; Turki Khalifa, Narjess; Ouerdiane, Habib |
|
2018
|
\(P(\phi)_1\)-process for the spin-boson model and a functional central limit theorem for associated additive functionals. Zbl 1394.60025
Gheryani, Soumaya; Hiroshima, Fumio; Lorinczi, József; Majid, Achref; Ouerdiane, Habib |
|
2017
|
Higher powers of analytical operators and associated \(\ast\)-Lie algebras. Zbl 1342.60117
Ettaieb, Aymen; Khalifa, Narjess Turki; Ouerdiane, Habib; Rguigui, Hafedh |
|
2016
|
Solutions of evolution equations associated to infinite-dimensional Laplacian. Zbl 1351.81044
Ouerdiane, Habib |
|
2016
|
Generalized fraction evolution equations with fractional Gross Laplacian. Zbl 1351.60081
Horrigue, Samah; Ouerdiane, Habib; Salhi, Imen |
|
2016
|
Powers of quantum white noise derivatives. Zbl 1309.60075
Ettaieb, Aymen; Ouerdiane, Habib; Rguigui, Hafedh |
|
2014
|
Unitarising measures for the representations of affine group and associated invariant operators. Zbl 1360.58007
Airault, H.; Jendoubi, S.; Ouerdiane, H. |
|
2013
|
QWN-conservation operator and associated Wick differential equation. Zbl 1331.60146
Ouerdiane, Habib; Rguigui, Hafedh |
|
2012
|
Stochastic heat equation on algebra of generalized functions. Zbl 1278.60106
Barhoumi, Abdessatar; Ouerdiane, Habib; Rguigui, Hafedh |
|
2012
|
QWN-Euler operator and associated Cauchy problem. Zbl 1248.60081
Barhoumi, Abdessatar; Ouerdiane, Habib; Rguigui, Hafedh |
|
2012
|
Renormalized square of white noise quantum time shift. Zbl 1331.60134
Accardi, Luigi; Ouerdiane, Habib; Rebei, Habib |
|
2012
|
Invariant measure for some differential operators and unitarizing measure for the representation of a Lie group. Examples in finite dimension. Zbl 1260.60157
Airault, Hélène; Ouerdiane, Habib |
|
2012
|
Cauchy problem and integral representation associated to the power of the QWN-Euler operator. Zbl 1331.60140
Ettaieb, Aymen; Ouerdiane, Habib; Rguigui, Hafedh |
|
2012
|
Lévy processes through time shift on oscillator Weyl algebra. Zbl 1331.60158
Accardi, Luigi; Ouerdiane, Habib; Rebei, Habib |
|
2012
|
Expansion in series of exponential polynomials of mean-periodic functions. Zbl 1293.30062
Ouerdiane, H.; Ounaïes, M. |
|
2012
|
Rotation invariance of quantum Laplacians. Zbl 1257.81047
Horrigue, Samah; Ouerdiane, Habib |
|
2012
|
A note on convolution operators in white noise calculus. Zbl 1234.60069
Obata, Nobuaki; Ouerdiane, Habib |
|
2011
|
On spectral approach to Pascal white noise functionals. Zbl 1242.81089
Barhoumi, Abdessatar; Ouerdiane, Habib; Riahi, Anis |
|
2011
|
On the quadratic Heisenberg group. Zbl 1213.60123
Accardi, Luigi; Ouerdiane, Habib; Rebeï, Habib |
|
2010
|
Generalized Euler heat equation. Zbl 1214.46024
Barhoumi, Abdessatar; Ouerdiane, Habib; Rguigui, Hafedh |
|
2010
|
Quantum Laplacian and applications. Zbl 1206.60066
Horrigue, Samah; Ouerdiane, Habib |
|
2010
|
Surface measures on the dual space of the Schwartz space. Zbl 1331.60136
Chaari, S.; Cipriano, F.; Kuo, H.-H.; Ouerdiane, H. |
|
2010
|
Quantum heat equation with quantum \(K\)-Gross Laplacian: solutions and integral representation. Zbl 1211.81084
Horrigue, Samah; Ouerdiane, Habib |
|
2010
|
Convolution equation: solution and probabilistic representation. Zbl 1225.60116
da Silva, José L.; Erraoui, Mohamed; Ouerdiane, Habib |
|
2010
|
On operator-parameter transforms based on nuclear algebra of entire functions and applications. Zbl 1208.81125
Barhoumi, Abdessatar; Ouerdiane, Habib; Rguigui, Hafedh; Riahi, Anis |
|
2010
|
Pascal white noise calculus. Zbl 1180.60057
Barhoumi, Abdessatar; Ouerdiane, Habib; Riahi, Anis |
|
2009
|
Stochastic solutions of a KPP-type nonlinear fractional differential equation. Zbl 1499.35625
Cipriano, F.; Ouerdiane, H.; Vilela Mendes, R. |
|
2009
|
Gross Laplacian acting on operators. Zbl 1178.60050
Horrigue, Samah; Ouerdiane, Habib |
|
2009
|
Ornstein-Uhlenbeck operators and unitarizing measures in the Poincaré disk. Zbl 1185.31006
Airault, Hélène; Ouerdiane, Habib |
|
2009
|
Unitary representations of the Witt and \(sl(2,\mathbb R)\)-algebras through renormalized powers of the quantum Pascal white noise. Zbl 1180.60068
Barhoumi, Abdessatar; Ouerdiane, Habib; Riahi, Anis |
|
2008
|
Feynman graphs for non-Gaussian measures. Zbl 1180.82009
Djah, Sidi Hamidou; Gottschalk, Hanno; Ouerdiane, Habib |
|
2008
|
Sanov’s theorem for white noise distributions and application to the Gibbs conditioning principle. Zbl 1160.60009
Chaari, S.; Cipriano, F.; Gheryani, Soumaya; Ouerdiane, H. |
|
2008
|
Generalized fractional evolution equation. Zbl 1153.46026
da Silva, J. L.; Erraoui, M.; Ouerdiane, H. |
|
2007
|
Quantum Lévy Laplacian and associated heat equation. Zbl 1134.35105
Ji, Un Cig; Obata, Nobuaki; Ouerdiane, Habib |
|
2007
|
Schilder’s theorem for Gaussian white noise distributions. Zbl 1128.60056
Chaari, Sonia; Gheryani, Soumaya; Ouerdiane, Habib |
|
2007
|
Convolution calculus on white noise spaces and Feynman graph representation of generalized renormalization flows. Zbl 1128.60057
Gottschalk, Hanno; Ouerdiane, Habib; Smii, Boubaker |
|
2007
|
Module white noise calculus. Zbl 1199.60251
Accardi, L.; Ayed, W.; Ouerdiane, H. |
|
2007
|
White noise Heisenberg evolution and Evans-Hudson flows. Zbl 1112.60052
Accardi, Luigi; Ayed, Wided; Ouerdiane, Habib |
|
2007
|
A nonlinear stochastic equation of convolution type. Zbl 1130.60067
Cipriano, F.; Ouerdiane, H.; Silva, J. L.; Mendes, R. Vilela |
|
2007
|
Stochastic convolution-type heat equations with nonlinear drift. Zbl 1113.60067
Erraoui, Mohamed; Ouerdiane, Habib; da Silva, José Luís |
|
2007
|
Quantum stochastic process associated with quantum Lévy Laplacian. Zbl 1328.60167
Ji, Un Cig; Ouerdiane, Habib; Saitô, Kimiaki |
|
2007
|
A quantum approach to Laplace operators. Zbl 1097.60065
Accardi, Luigi; Barhoumi, Abdessatar; Ouerdiane, Habib |
|
2006
|
Generalized Gross heat equation with noises. Zbl 1113.60066
Barhoumi, Abdessatar; Kuo, Hui-Hsiung; Ouerdiane, Habib |
|
2006
|
Large deviations for infinite dimensional analytical distributions. Zbl 1128.60020
Chaari, S.; Cipriano, F.; Ouerdiane, H. |
|
2006
|
Large deviation principle for white noise Gaussian measures. Zbl 1115.60032
Chaari, Sonia; Gheryani, Soumaya; Ouerdiane, Habib |
|
2006
|
White noise approach to stochastic integration. Zbl 1119.60038
Accardi, Luigi; Ayed, Wided; Ouerdiane, Habib |
|
2005
|
Feynman graph representation of the perturbation series for general functional measures. Zbl 1145.82004
Djah, Sidi Hamidou; Gottschalk, Hanno; Ouerdiane, Habib |
|
2005
|
Connes-Hida calculus and Bismut-Quillen superconnections. Zbl 1126.81314
Léandre, R.; Ouerdiane, H. |
|
2005
|
Asymptotic estimates for white noise distributions. Zbl 1044.60075
Ouerdiane, Habib; Privault, Nicolas |
|
2004
|
Heat equation associated with Lévy Laplacian. Zbl 1110.81123
Obata, Nobuaki; Ouerdiane, Habib |
|
2004
|
On the stochastic transport equation of convolution type. Zbl 1085.60044
Ouerdiane, Habib |
|
2004
|
Analytic characterization of generalized Fock space operators as two-variable entire functions with growth condition. Zbl 1050.60070
Ji, Un Cig; Obata, Nobuaki; Ouerdiane, Habib |
|
2002
|
Convolution calculus and applications to stochastic differential equations. Zbl 1029.60055
Ben Chrouda, Mohamed; El Oued, Mohamed; Ouerdiane, Habib |
|
2002
|
Algebras of operators on holomorphic functions and applications. Zbl 1032.60063
Chrouda, M. Ben; Ouerdiane, H. |
|
2002
|
Generalized Feynman-Kac formula with stochastic potential. Zbl 1056.60061
Ouerdiane, Habib; Silva, José Luis |
|
2002
|
A duality theorem between spaces of holomorphic functions of exponential growth.
(Un théorème de dualité entre espaces de fonctions holomorphes à croissance exponentielle.) Zbl 0969.46018
Gannoun, R.; Hachaichi, R.; Ouerdiane, H.; Rezgui, A. |
|
2000
|
A Bochner-Minlos theorem with an integrability condition.
(Un théorème de Bochner-Minlos avec une condition d’intégrabilité.) Zbl 1034.46503
Ouerdiane, Habib; Rezgui, Anis |
|
2000
|
Nuclear algebras of entire functions and stochastic partial differential equations.
(Algebres nucléaires de fonctions entières et équations aux derivées partielles stochastiques.) Zbl 0921.60036
Ouerdiane, H. |
|
1998
|
Kernels and symbols of operators on Gaussian analytic functionals.
(Noyaux et symboles d’opérateurs sur des fonctionnelles analytiques Gaussiennes.) Zbl 0887.46020
Ouerdiane, Habib |
|
1995
|
Analytic functionals with growth condition and application to Gaussian analysis.
(Fonctionnelles analytiques avec condition de croissance, et application à l’analyse gaussienne.) Zbl 0838.46032
Ouerdiane, Habib |
|
1994
|
Dualité et opérateurs de convolution dans certains espaces de fonctions ”entières nucleaires de type exponentiel”. Zbl 0529.46033
Ouerdiane, Habib |
|
1983
|