Edit Profile Trimèche, Khalifa Compute Distance To: Compute Author ID: trimeche.khalifa Published as: Trimeche, K.; Trimeche, Khalifa; Trimeche, Khelifa; Trimèche, K.; Trimèche, Khalifa; Trimèche, Khélifa; Triméche, K.; Triméche, Khalifa Documents Indexed: 136 Publications since 1974, including 4 Books Reviewing Activity: 110 Reviews Biographic References: 1 Publication all top 5 Co-Authors 47 single-authored 24 Mejjaoli, Hatem 9 Gallardo, Léonard 8 Mourou, Mohamed Ali 6 Chettaoui, Chirine 6 Rachdi, Lakhdar Tannech 5 Hassini, Amina 5 Mili, Maher 5 Nessibi, Mohamed Mounir 3 Ben Salem, Nejib 3 Jouini, Abdellatif 3 Lazhari, Mohamed Néjib 3 Maalaoui, Rayaane 3 Mokni, Kamel 3 Othmani, Youssef 3 Sifi, Mohamed 2 Achour, Abdennebi 2 Ben Mohamed, Hassen 2 Betancor Perez, Jorge Juan 2 Bouattour, Latifa 2 Chouchane, F. 2 Jaafar Belaid, Lamia 2 Sraieb, Nadia 1 Annabi, Hamouda 1 Ben Farah, Slaïm 1 Chouchene, Frej 1 Dachraoui, Azza 1 Kamoun, Lotfi 1 Zarati, Said all top 5 Serials 18 Integral Transforms and Special Functions 14 Comptes Rendus Mathématiques de l’Académie des Sciences 11 Mediterranean Journal of Mathematics 8 Journal of Mathematical Analysis and Applications 7 Advances in Pure and Applied Mathematics 5 Korean Journal of Mathematics 4 Fractional Calculus & Applied Analysis 4 Mathematical Sciences Research Journal 4 Analysis and Applications (Singapore) 4 Global Journal of Pure and Applied Mathematics 4 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 3 Rocky Mountain Journal of Mathematics 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Collectanea Mathematica 2 International Journal of Mathematics and Mathematical Sciences 2 Mathematical Journal of Okayama University 2 Monatshefte für Mathematik 2 The Journal of Fourier Analysis and Applications 2 International Journal of Applied Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Annales de l’Institut Fourier 1 Journal of Computational and Applied Mathematics 1 Portugaliae Mathematica 1 Revista de la Unión Matemática Argentina 1 Acta Mathematica Hungarica 1 Bulletin of the Iranian Mathematical Society 1 Journal of Theoretical Probability 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Applied and Computational Harmonic Analysis 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Journal of Inequalities and Applications 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Journal of the Australian Mathematical Society 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Concrete and Applicable Mathematics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Communications in Mathematical Analysis 1 Complex Analysis and Operator Theory 1 International Journal of Modern Mathematics 1 Journal of Pure and Applied Mathematics: Advances and Applications 1 Journal of Pseudo-Differential Operators and Applications 1 Analysis and Mathematical Physics all top 5 Fields 65 Abstract harmonic analysis (43-XX) 64 Integral transforms, operational calculus (44-XX) 54 Harmonic analysis on Euclidean spaces (42-XX) 38 Special functions (33-XX) 22 Operator theory (47-XX) 19 Functional analysis (46-XX) 14 Ordinary differential equations (34-XX) 13 Partial differential equations (35-XX) 13 Geometry (51-XX) 5 Topological groups, Lie groups (22-XX) 4 Difference and functional equations (39-XX) 4 Probability theory and stochastic processes (60-XX) 2 Functions of a complex variable (30-XX) 2 Potential theory (31-XX) 2 Quantum theory (81-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Measure and integration (28-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 88 Publications have been cited 776 times in 421 Documents Cited by ▼ Year ▼ Paley-Wiener theorems for the Dunkl transform and Dunkl translation operators. Zbl 1030.44004Trimèche, Khalifa 80 2002 Generalized wavelets and hypergroups. Zbl 0926.42016Trimèche, Khalifa 49 1997 Inversion of the Lions transmutation operators using generalized wavelets. Zbl 0872.34059Trimèche, K. 47 1997 The Dunkl intertwining operator on spaces of functions and distributions and integral representation of its dual. Zbl 1027.47027Trimèche, Khalifa 44 2001 Transformation intégrale de Weyl et théorème de Paley-Wiener associes à un opérateur différentiel singulier sur \((0,\infty)\). Zbl 0416.44002Trimeche, Khalifa 44 1981 Inversion of the Radon transform on the Laguerre hypergroup by using generalized wavelets. Zbl 0870.43004Nessibi, M. M.; Trimèche, K. 35 1997 Transmutation operators and Paley-Wiener theorem associated with a singular differential-difference operator on the real line. Zbl 1140.42302Mourou, Mohamed A.; Trimèche, Khalifa 28 2003 Ranges and inversion formulas for spherical mean operator and its dual. Zbl 0845.43005Nessibi, M. M.; Rachdi, L. T.; Trimèche, K. 28 1995 On a mean value property associated with the Dunkl Laplacian operator and applications. Zbl 1027.47026Mejjaoli, H.; Trimèche, K. 26 2001 Positivity of the intertwining operator and harmonic analysis associated with the Jacobi-Dunkl operator on \(\mathbb R\). Zbl 1056.43003Chouchane, F.; Mili, M.; Trimèche, K. 23 2003 Positivity of the Jacobi-Cherednik intertwining operator and its dual. Zbl 1208.47027Gallardo, Léonard; Trimèche, Khalifa 22 2010 Generalized harmonic analysis and wavelet packets. Zbl 0976.44009Trimèche, Khalifa 21 2001 Transmutation operators and mean-periodic functions associated with differential operators. Zbl 0875.43001Trimèche, K. 21 1988 Weyl transforms associated with the spherical mean operator. Zbl 1045.47038Rachdi, L. T.; Triméche, K. 19 2003 Spectrum of functions for the Dunkl transform on \(\mathbb R^d\). Zbl 1143.42014Mejjaoli, Hatem; Trimèche, Khalifa 15 2007 An \(L^p\) version of Hardy’s theorem for the Dunkl transform. Zbl 1084.44001Gallardo, Léonard; Trimèche, Khalifa 14 2004 Hypercyclic and chaotic convolution operators associated with the Dunkl operator on \(\mathbb C\). Zbl 1085.44003Betancor, J. J.; Sifi, M.; Triméche, K. 13 2005 An analogue of Cowling-Price’s theorem and Hardy’s theorem for the generalized Fourier transform associated with the spherical mean operator. Zbl 1129.42004Chettaoui, C.; Othmani, Y.; Trimèche, K. 13 2004 Hypoellipticity and hypoanalyticity of the Dunkl Laplacian operator. Zbl 1071.33014Mejjaoli, Hatem; Trimèche, Khalifa 13 2004 La \(g\)-fonction de Littlewood-Paley associée à un opérateur différentiel singulier sur \((0,\infty)\). (The Littlewood-Paley’s \(g\)-function associated with à singular différential opérator on \((0,\infty)\)). Zbl 0489.34022Achour, A.; Trimeche, K. 13 1983 New type Paley-Wiener theorems for the Dunkl transform on \(\mathbb R\). Zbl 1039.33004Chettaoui, Chirine; Trimèche, Khalifa 12 2003 The trigonometric Dunkl intertwining operator and its dual associated with the Cherednik operators and the Heckman-Opdam theory. Zbl 1204.33028Trimèche, Khalifa 10 2010 Harmonic analysis associated with the Cherednik operators and the Heckman-Opdam theory. Zbl 1207.33024Trimèche, Khalifa 9 2011 The transmutation operators relating to a Dunkl type operator on \(\mathbb{R}\) and their positivity. Zbl 1378.44001Trimèche, Khalifa 8 2015 Beurling-Hörmander’s theorem for the Chébli-Trimèche transform. Zbl 1105.43004Bouattour, Latifa; Trimèche, Khalifa 7 2005 An \(L^p\) version of Hardy’s theorem for the Jacobi-Dunkl transform. Zbl 1102.42002Chouchane, F.; Mili, M.; Trimèche, K. 7 2004 Convolution généralisée sur le disque unite. Zbl 0273.43009Annabi, Hamouda; Trimeche, Khelifa 7 1974 Positivity of the transmutation operators associated with a Cherednik type operator on the real line. Zbl 1270.47023Trimèche, Khalifa 6 2012 A variant of Cowling-Price’s theorem for the Dunkl transform on \(\mathbb R\). Zbl 1147.43001Mejjaoli, Hatem; Trimèche, Khalifa 6 2008 Calderon’s reproducing formula related to the Dunkl operator on the real line. Zbl 1006.44004Mourou, Mohamed A.; Trimèche, Khalifa 6 2002 Real Paley-Wiener theorems associated with the Weinstein operator. Zbl 1182.42012Othmani, Youssef; Trimèche, Khalifa 5 2006 Inversion of the Dunkl intertwining operator and its dual using Dunkl wavelets. Zbl 1034.44005Trimèche, Khalifa 5 2002 An analogue of Hardy’s theorem for the Dunkl transform. Zbl 0999.43003Gallardo, Léonard; Trimèche, Khalifa 5 2002 Mehler integral transform associated with Jacobi functions with respect to the dual variable. Zbl 0889.43001Ben Salem, N.; Trimèche, K. 5 1997 Generalized Weyl integral transformation for a singular differential operator on \((0,\infty)\) and generalized Weinstein radiation problem. Zbl 0743.46032Trimèche, K. 5 1990 Characterization of the support for the hypergeometric Fourier transform of the \(W\)-invariant functions and distributions on \(\mathbb R ^d\) and Roe’s theorem. Zbl 1337.42006Mejjaoli, Hatem; Trimèche, Khalifa 4 2014 Hypoelliptic dunkl convolution equations in the space of distributions on \({\mathbb R}^d\). Zbl 1105.42004Trimèche, Khalifa 4 2006 Harmonic analysis associated with the Dunkl-Bessel Laplace operator and a mean value property. Zbl 1031.43006Mejjaoli, Hatem; Trimèche, Khalifa 4 2001 Calderón’s reproducing formula associated with the Bessel operator. Zbl 0912.42017Mourou, Mohamed Ali; Trimèche, Khalifa 4 1998 The Poisson equation and the Green kernels associated with a singular differential operator on \(\mathbb{R}_+\). Zbl 0893.47031Gallardo, Léonard; Trimèche, Khalifa 4 1997 Fonctions moyenne-périodiques associées à un opérateur différentiel singulier sur (0,\(\infty)\) et développement en série de Fourier généralisée. (Mean periodic functions associated to a singular differential operator on (0,\(\infty)\) and development in generalized Fourier series). Zbl 0581.47033Trimeche, K. 4 1986 Opérateurs de translation généralisée associes à un opérateur différentiel singulier sur un intervalle borne. Zbl 0401.47019Achour, Abdennebi; Trimeche, Khalifa 4 1979 Convergence des séries de Taylor généralisées au sens de Delsarte. Zbl 0315.40002Trimeche, Khelifa 4 1975 The positivity of the transmutation operators associated to the Cherednik operators for the root system \({BC}_2\). Zbl 1333.33026Trimèche, Khalifa 3 2016 Positivity of the transmutation operators and absolute continuity of their representing measures for a root system on \({\mathbb R}^d\). Zbl 1331.33031Trimèche, Khalifa 3 2015 The positivity of the transmutation operators associated with the Cherednik operators attached to the root system of type \(A_{2}\). Zbl 1312.33062Trimèche, Khalifa 3 2015 Bochner-Hecke theorems for the Weinstein transform and application. Zbl 1226.42006Chettaoui, Chirine; Trimèche, Khalifa 3 2010 Cowling-Price and Hardy theorems on Chébli-Trimèche hypergroups. Zbl 1122.43005Trimèche, Khalifa 3 2005 An analogue of Hardy’s theorem and its \(L^p\) version for the Dunkl Bessel transform. Zbl 1097.44002Mejjaoli, Hatem; Trimèche, Khalifa 3 2004 Dunkl transform on \(\mathbb{R}\) and convolution product on new spaces of distributions. Zbl 1057.46033Ben Mohamed, Hassen; Trimèche, Khalifa 3 2003 Transmutation operators and Paley-Wiener theorem associated with a differential-difference operator on the real line. Zbl 1040.42005Mourou, Mohamed Ali; Trimèche, Khalifa 3 2001 Wavelets on hypergroups. Zbl 0948.43003Trimeche, K. 3 1998 Generalized continuous wavelet transform and generalized continuous multiscale analysis associated with Laguerre functions. Zbl 0841.43014Nessibi, M. M.; Sifi, M.; Trimèche, K. 3 1995 Singularities and analytic continuation of the Dunkl and the Jacobi-Cherednik intertwining operators and their duals. Zbl 1267.47020Gallardo, Léonard; Trimèche, Khalifa 2 2012 Hypoelliptic distributions on Chébli-Trimèche hypergroups. Zbl 1106.46304Trimèche, Khalifa 2 2005 An analogue of Beurling-Hörmander’s theorem associated with partial differential operators. Zbl 1121.43002Trimèche, Khalifa; Kamoun, Lotfi 2 2005 On the range of the Dunkl transform on \(\mathbb{R}\). Zbl 1054.43005Chettaoui, C.; Othmani, Y.; Trimèche, K. 2 2004 Lie theorems for one-dimensional hypergroups. Zbl 1019.43003Gallardo, Léonard; Trimèche, Khalifa 2 2002 Renewal theorems for singular differential operators. Zbl 0992.60029Gallardo, Léonard; Trimèche, Khalifa 2 2002 Convolution algebras and factorizing of measures on Chébli-Trimèche hypergroups. Zbl 0843.43007Lazhari, M. N.; Trimèche, K. 2 1995 Generalized transmutation and translation operators associated with partial differential operators. Zbl 0830.43013Trimeche, K. 2 1995 \(k\)-Hankel two-wavelet theory and localization operators. Zbl 07248366Mejjaoli, Hatem; Trimèche, Khalifa 1 2020 Inversion theorem and quantitative uncertainty principles for the Dunkl Gabor transform on \({\mathbb{R}}^d\). Zbl 07144062Mejjaoli, Hatem; Sraieb, Nadia; Trimèche, Khalifa 1 2019 The harmonic analysis associated to the Heckman-Opdam’s theory and its application to a root system of type \(BC_d\). Zbl 1428.33030Trimeche, Khalifa 1 2019 Time-frequency concentration, Heisenberg type uncertainty principles and localization operators for the continuous Dunkl wavelet transform on \(\mathbb {R}^{d}\). Zbl 1382.44004Mejjaoli, Hatem; Trimèche, Khalifa 1 2017 The hypergeometric Wigner and Weyl transforms attached to the Cherednik operators in the \(\mathrm{W}\)-invariant case. Zbl 1390.33029Chettaoui, Chirine; Hassini, Amina; Trimèche, Khalifa 1 2017 A variant of Hardy’s and Miyachi’s theorems for the Bessel-Struve transform. Zbl 1366.42005Mejjaoli, Hatem; Trimèche, Khalifa 1 2017 The positivity of the hypergeometric translation operators associated to the Cherednik operators and the Heckman-Opdam theory on \(\mathbb{R}^d\). Zbl 1360.33017Trimèche, Khalifa 1 2017 Generalized wavelets and the generalized wavelet transform on \(\mathbb{R}^d\) for the Heckman-Opdam theory. Zbl 1432.42025Hassini, Amina; Maalaoui, Rayaane; Trimeche, Khalifa 1 2016 Wavelets and generalized windowed transforms associated with the Dunkl-Bessel-Laplace operator on \(\mathbb{R}^d \times \mathbb{R}_{+}\). Zbl 1329.42036Hassini, Amina; Trimèche, Khalifa 1 2015 Hypercyclic and chaotic convolution associated with the Jacobi-Dunkl operator. Zbl 1290.42020Chouchene, F.; Mejjaoli, H.; Mili, M.; Trimèche, K. 1 2014 A family of generalized windowed transforms associated with the Dunkl operators on \(\mathbb R^{ d }\). Zbl 1247.33037Maalaoui, Rayaane; Trimèche, Khalifa 1 2012 The Chébli-Trimèche hypergroups associated with the Dunkl and Heckman-Opdam theories. Zbl 1250.43006Trimèche, Khalifa 1 2010 Absolute continuity of the representing measures of the Dunkl intertwining operator and of its dual and applications. Zbl 1195.33211Trimèche, Khalifa 1 2010 Generalized Bochner–Hecke theorems and application to homogeneous distributions in Dunkl’s theory. Zbl 1175.46030Trimèche, K. 1 2007 An \(L^{p}\)-\(L^{q}\)-version of Morgan’s theorem for the Dunkl-Bessel transform. Zbl 1102.44005Mejjaoli, Hatem; Trimèche, Khalifa 1 2006 Uncertainty principle and \((L^p, L^q)\) sufficient pairs on Chébli-Trimèche hypergroups. Zbl 1089.43004Bou Attour, Latifa; Trimèche, Khalifa 1 2005 An \(L^p\)-\(L^q\) version of Hardy’s theorem for spherical Fourier transform on semisimple Lie groups. Zbl 1122.43002Ben Farah, S.; Mokni, K.; Trimèche, K. 1 2004 One dimensional diffusive hypergroups with asymptotic drift. Zbl 1025.43002Gallardo, Léonard; Trimèche, Khalifa 1 2002 Calderón’s reproducing formula associated with a singular differential operator on the half line. Zbl 0988.42010Mourou, Mohamed A.; Trimèche, Khalifa 1 2000 Wavelet transform on compact Gelfand pairs and its discretization. Zbl 0933.43005Mokni, K.; Trimèche, K. 1 1999 Calderón’s formula associated with a differential operator on \((0,\infty)\) and inversion of the generalized Abel transform. Zbl 0912.42016Mourou, M. A.; Trimèche, K. 1 1998 Asymptotic expansion and generalized Schläfli integral representation for the eigenfunction of a singular second order differential operator. Zbl 0891.34081Lazhari, M. N.; Rachdi, L. T.; Trimèche, K. 1 1996 Inversion of the Weyl integral transform and the Radon transform on \(\mathbb{R}^ n\) using generalized wavelets. Zbl 0863.44003Mourou, M. A.; Trimèche, K. 1 1996 Continuous wavelet transform on semisimple Lie groups and inversion of the Abel transform and its dual. Zbl 0865.43006Trimèche, K. 1 1996 Inversion of the spherical mean operator and its dual using spherical wavelets. Zbl 0955.42020Trimèche, K. 1 1995 Ranges and inversion formulas for spherical mean operator and its dual. Zbl 0868.42005Nessibi, M. M.; Rachdi, L. T.; Trimèche, K. 1 1995 Probabilités indefiniment divisibles et théorème de la limite centrale pour une convolution généralisée sur la demi-droite. Zbl 0374.60019Trimeche, Khelifa 1 1978 \(k\)-Hankel two-wavelet theory and localization operators. Zbl 07248366Mejjaoli, Hatem; Trimèche, Khalifa 1 2020 Inversion theorem and quantitative uncertainty principles for the Dunkl Gabor transform on \({\mathbb{R}}^d\). Zbl 07144062Mejjaoli, Hatem; Sraieb, Nadia; Trimèche, Khalifa 1 2019 The harmonic analysis associated to the Heckman-Opdam’s theory and its application to a root system of type \(BC_d\). Zbl 1428.33030Trimeche, Khalifa 1 2019 Time-frequency concentration, Heisenberg type uncertainty principles and localization operators for the continuous Dunkl wavelet transform on \(\mathbb {R}^{d}\). Zbl 1382.44004Mejjaoli, Hatem; Trimèche, Khalifa 1 2017 The hypergeometric Wigner and Weyl transforms attached to the Cherednik operators in the \(\mathrm{W}\)-invariant case. Zbl 1390.33029Chettaoui, Chirine; Hassini, Amina; Trimèche, Khalifa 1 2017 A variant of Hardy’s and Miyachi’s theorems for the Bessel-Struve transform. Zbl 1366.42005Mejjaoli, Hatem; Trimèche, Khalifa 1 2017 The positivity of the hypergeometric translation operators associated to the Cherednik operators and the Heckman-Opdam theory on \(\mathbb{R}^d\). Zbl 1360.33017Trimèche, Khalifa 1 2017 The positivity of the transmutation operators associated to the Cherednik operators for the root system \({BC}_2\). Zbl 1333.33026Trimèche, Khalifa 3 2016 Generalized wavelets and the generalized wavelet transform on \(\mathbb{R}^d\) for the Heckman-Opdam theory. Zbl 1432.42025Hassini, Amina; Maalaoui, Rayaane; Trimeche, Khalifa 1 2016 The transmutation operators relating to a Dunkl type operator on \(\mathbb{R}\) and their positivity. Zbl 1378.44001Trimèche, Khalifa 8 2015 Positivity of the transmutation operators and absolute continuity of their representing measures for a root system on \({\mathbb R}^d\). Zbl 1331.33031Trimèche, Khalifa 3 2015 The positivity of the transmutation operators associated with the Cherednik operators attached to the root system of type \(A_{2}\). Zbl 1312.33062Trimèche, Khalifa 3 2015 Wavelets and generalized windowed transforms associated with the Dunkl-Bessel-Laplace operator on \(\mathbb{R}^d \times \mathbb{R}_{+}\). Zbl 1329.42036Hassini, Amina; Trimèche, Khalifa 1 2015 Characterization of the support for the hypergeometric Fourier transform of the \(W\)-invariant functions and distributions on \(\mathbb R ^d\) and Roe’s theorem. Zbl 1337.42006Mejjaoli, Hatem; Trimèche, Khalifa 4 2014 Hypercyclic and chaotic convolution associated with the Jacobi-Dunkl operator. Zbl 1290.42020Chouchene, F.; Mejjaoli, H.; Mili, M.; Trimèche, K. 1 2014 Positivity of the transmutation operators associated with a Cherednik type operator on the real line. Zbl 1270.47023Trimèche, Khalifa 6 2012 Singularities and analytic continuation of the Dunkl and the Jacobi-Cherednik intertwining operators and their duals. Zbl 1267.47020Gallardo, Léonard; Trimèche, Khalifa 2 2012 A family of generalized windowed transforms associated with the Dunkl operators on \(\mathbb R^{ d }\). Zbl 1247.33037Maalaoui, Rayaane; Trimèche, Khalifa 1 2012 Harmonic analysis associated with the Cherednik operators and the Heckman-Opdam theory. Zbl 1207.33024Trimèche, Khalifa 9 2011 Positivity of the Jacobi-Cherednik intertwining operator and its dual. Zbl 1208.47027Gallardo, Léonard; Trimèche, Khalifa 22 2010 The trigonometric Dunkl intertwining operator and its dual associated with the Cherednik operators and the Heckman-Opdam theory. Zbl 1204.33028Trimèche, Khalifa 10 2010 Bochner-Hecke theorems for the Weinstein transform and application. Zbl 1226.42006Chettaoui, Chirine; Trimèche, Khalifa 3 2010 The Chébli-Trimèche hypergroups associated with the Dunkl and Heckman-Opdam theories. Zbl 1250.43006Trimèche, Khalifa 1 2010 Absolute continuity of the representing measures of the Dunkl intertwining operator and of its dual and applications. Zbl 1195.33211Trimèche, Khalifa 1 2010 A variant of Cowling-Price’s theorem for the Dunkl transform on \(\mathbb R\). Zbl 1147.43001Mejjaoli, Hatem; Trimèche, Khalifa 6 2008 Spectrum of functions for the Dunkl transform on \(\mathbb R^d\). Zbl 1143.42014Mejjaoli, Hatem; Trimèche, Khalifa 15 2007 Generalized Bochner–Hecke theorems and application to homogeneous distributions in Dunkl’s theory. Zbl 1175.46030Trimèche, K. 1 2007 Real Paley-Wiener theorems associated with the Weinstein operator. Zbl 1182.42012Othmani, Youssef; Trimèche, Khalifa 5 2006 Hypoelliptic dunkl convolution equations in the space of distributions on \({\mathbb R}^d\). Zbl 1105.42004Trimèche, Khalifa 4 2006 An \(L^{p}\)-\(L^{q}\)-version of Morgan’s theorem for the Dunkl-Bessel transform. Zbl 1102.44005Mejjaoli, Hatem; Trimèche, Khalifa 1 2006 Hypercyclic and chaotic convolution operators associated with the Dunkl operator on \(\mathbb C\). Zbl 1085.44003Betancor, J. J.; Sifi, M.; Triméche, K. 13 2005 Beurling-Hörmander’s theorem for the Chébli-Trimèche transform. Zbl 1105.43004Bouattour, Latifa; Trimèche, Khalifa 7 2005 Cowling-Price and Hardy theorems on Chébli-Trimèche hypergroups. Zbl 1122.43005Trimèche, Khalifa 3 2005 Hypoelliptic distributions on Chébli-Trimèche hypergroups. Zbl 1106.46304Trimèche, Khalifa 2 2005 An analogue of Beurling-Hörmander’s theorem associated with partial differential operators. Zbl 1121.43002Trimèche, Khalifa; Kamoun, Lotfi 2 2005 Uncertainty principle and \((L^p, L^q)\) sufficient pairs on Chébli-Trimèche hypergroups. Zbl 1089.43004Bou Attour, Latifa; Trimèche, Khalifa 1 2005 An \(L^p\) version of Hardy’s theorem for the Dunkl transform. Zbl 1084.44001Gallardo, Léonard; Trimèche, Khalifa 14 2004 An analogue of Cowling-Price’s theorem and Hardy’s theorem for the generalized Fourier transform associated with the spherical mean operator. Zbl 1129.42004Chettaoui, C.; Othmani, Y.; Trimèche, K. 13 2004 Hypoellipticity and hypoanalyticity of the Dunkl Laplacian operator. Zbl 1071.33014Mejjaoli, Hatem; Trimèche, Khalifa 13 2004 An \(L^p\) version of Hardy’s theorem for the Jacobi-Dunkl transform. Zbl 1102.42002Chouchane, F.; Mili, M.; Trimèche, K. 7 2004 An analogue of Hardy’s theorem and its \(L^p\) version for the Dunkl Bessel transform. Zbl 1097.44002Mejjaoli, Hatem; Trimèche, Khalifa 3 2004 On the range of the Dunkl transform on \(\mathbb{R}\). Zbl 1054.43005Chettaoui, C.; Othmani, Y.; Trimèche, K. 2 2004 An \(L^p\)-\(L^q\) version of Hardy’s theorem for spherical Fourier transform on semisimple Lie groups. Zbl 1122.43002Ben Farah, S.; Mokni, K.; Trimèche, K. 1 2004 Transmutation operators and Paley-Wiener theorem associated with a singular differential-difference operator on the real line. Zbl 1140.42302Mourou, Mohamed A.; Trimèche, Khalifa 28 2003 Positivity of the intertwining operator and harmonic analysis associated with the Jacobi-Dunkl operator on \(\mathbb R\). Zbl 1056.43003Chouchane, F.; Mili, M.; Trimèche, K. 23 2003 Weyl transforms associated with the spherical mean operator. Zbl 1045.47038Rachdi, L. T.; Triméche, K. 19 2003 New type Paley-Wiener theorems for the Dunkl transform on \(\mathbb R\). Zbl 1039.33004Chettaoui, Chirine; Trimèche, Khalifa 12 2003 Dunkl transform on \(\mathbb{R}\) and convolution product on new spaces of distributions. Zbl 1057.46033Ben Mohamed, Hassen; Trimèche, Khalifa 3 2003 Paley-Wiener theorems for the Dunkl transform and Dunkl translation operators. Zbl 1030.44004Trimèche, Khalifa 80 2002 Calderon’s reproducing formula related to the Dunkl operator on the real line. Zbl 1006.44004Mourou, Mohamed A.; Trimèche, Khalifa 6 2002 Inversion of the Dunkl intertwining operator and its dual using Dunkl wavelets. Zbl 1034.44005Trimèche, Khalifa 5 2002 An analogue of Hardy’s theorem for the Dunkl transform. Zbl 0999.43003Gallardo, Léonard; Trimèche, Khalifa 5 2002 Lie theorems for one-dimensional hypergroups. Zbl 1019.43003Gallardo, Léonard; Trimèche, Khalifa 2 2002 Renewal theorems for singular differential operators. Zbl 0992.60029Gallardo, Léonard; Trimèche, Khalifa 2 2002 One dimensional diffusive hypergroups with asymptotic drift. Zbl 1025.43002Gallardo, Léonard; Trimèche, Khalifa 1 2002 The Dunkl intertwining operator on spaces of functions and distributions and integral representation of its dual. Zbl 1027.47027Trimèche, Khalifa 44 2001 On a mean value property associated with the Dunkl Laplacian operator and applications. Zbl 1027.47026Mejjaoli, H.; Trimèche, K. 26 2001 Generalized harmonic analysis and wavelet packets. Zbl 0976.44009Trimèche, Khalifa 21 2001 Harmonic analysis associated with the Dunkl-Bessel Laplace operator and a mean value property. Zbl 1031.43006Mejjaoli, Hatem; Trimèche, Khalifa 4 2001 Transmutation operators and Paley-Wiener theorem associated with a differential-difference operator on the real line. Zbl 1040.42005Mourou, Mohamed Ali; Trimèche, Khalifa 3 2001 Calderón’s reproducing formula associated with a singular differential operator on the half line. Zbl 0988.42010Mourou, Mohamed A.; Trimèche, Khalifa 1 2000 Wavelet transform on compact Gelfand pairs and its discretization. Zbl 0933.43005Mokni, K.; Trimèche, K. 1 1999 Calderón’s reproducing formula associated with the Bessel operator. Zbl 0912.42017Mourou, Mohamed Ali; Trimèche, Khalifa 4 1998 Wavelets on hypergroups. Zbl 0948.43003Trimeche, K. 3 1998 Calderón’s formula associated with a differential operator on \((0,\infty)\) and inversion of the generalized Abel transform. Zbl 0912.42016Mourou, M. A.; Trimèche, K. 1 1998 Generalized wavelets and hypergroups. Zbl 0926.42016Trimèche, Khalifa 49 1997 Inversion of the Lions transmutation operators using generalized wavelets. Zbl 0872.34059Trimèche, K. 47 1997 Inversion of the Radon transform on the Laguerre hypergroup by using generalized wavelets. Zbl 0870.43004Nessibi, M. M.; Trimèche, K. 35 1997 Mehler integral transform associated with Jacobi functions with respect to the dual variable. Zbl 0889.43001Ben Salem, N.; Trimèche, K. 5 1997 The Poisson equation and the Green kernels associated with a singular differential operator on \(\mathbb{R}_+\). Zbl 0893.47031Gallardo, Léonard; Trimèche, Khalifa 4 1997 Asymptotic expansion and generalized Schläfli integral representation for the eigenfunction of a singular second order differential operator. Zbl 0891.34081Lazhari, M. N.; Rachdi, L. T.; Trimèche, K. 1 1996 Inversion of the Weyl integral transform and the Radon transform on \(\mathbb{R}^ n\) using generalized wavelets. Zbl 0863.44003Mourou, M. A.; Trimèche, K. 1 1996 Continuous wavelet transform on semisimple Lie groups and inversion of the Abel transform and its dual. Zbl 0865.43006Trimèche, K. 1 1996 Ranges and inversion formulas for spherical mean operator and its dual. Zbl 0845.43005Nessibi, M. M.; Rachdi, L. T.; Trimèche, K. 28 1995 Generalized continuous wavelet transform and generalized continuous multiscale analysis associated with Laguerre functions. Zbl 0841.43014Nessibi, M. M.; Sifi, M.; Trimèche, K. 3 1995 Convolution algebras and factorizing of measures on Chébli-Trimèche hypergroups. Zbl 0843.43007Lazhari, M. N.; Trimèche, K. 2 1995 Generalized transmutation and translation operators associated with partial differential operators. Zbl 0830.43013Trimeche, K. 2 1995 Inversion of the spherical mean operator and its dual using spherical wavelets. Zbl 0955.42020Trimèche, K. 1 1995 Ranges and inversion formulas for spherical mean operator and its dual. Zbl 0868.42005Nessibi, M. M.; Rachdi, L. T.; Trimèche, K. 1 1995 Generalized Weyl integral transformation for a singular differential operator on \((0,\infty)\) and generalized Weinstein radiation problem. Zbl 0743.46032Trimèche, K. 5 1990 Transmutation operators and mean-periodic functions associated with differential operators. Zbl 0875.43001Trimèche, K. 21 1988 Fonctions moyenne-périodiques associées à un opérateur différentiel singulier sur (0,\(\infty)\) et développement en série de Fourier généralisée. (Mean periodic functions associated to a singular differential operator on (0,\(\infty)\) and development in generalized Fourier series). Zbl 0581.47033Trimeche, K. 4 1986 La \(g\)-fonction de Littlewood-Paley associée à un opérateur différentiel singulier sur \((0,\infty)\). (The Littlewood-Paley’s \(g\)-function associated with à singular différential opérator on \((0,\infty)\)). Zbl 0489.34022Achour, A.; Trimeche, K. 13 1983 Transformation intégrale de Weyl et théorème de Paley-Wiener associes à un opérateur différentiel singulier sur \((0,\infty)\). Zbl 0416.44002Trimeche, Khalifa 44 1981 Opérateurs de translation généralisée associes à un opérateur différentiel singulier sur un intervalle borne. Zbl 0401.47019Achour, Abdennebi; Trimeche, Khalifa 4 1979 Probabilités indefiniment divisibles et théorème de la limite centrale pour une convolution généralisée sur la demi-droite. Zbl 0374.60019Trimeche, Khelifa 1 1978 Convergence des séries de Taylor généralisées au sens de Delsarte. Zbl 0315.40002Trimeche, Khelifa 4 1975 Convolution généralisée sur le disque unite. Zbl 0273.43009Annabi, Hamouda; Trimeche, Khelifa 7 1974 all cited Publications top 5 cited Publications all top 5 Cited by 309 Authors 67 Mejjaoli, Hatem 52 Trimèche, Khalifa 15 Gallardo, Léonard 12 Daher, Radouan 12 Rachdi, Lakhdar Tannech 10 Kravchenko, Vladislav V. 9 Ben Saïd, Salem 9 Mourou, Mohamed Ali 9 Sifi, Mohamed 9 Torba, Sergii M. 8 Assal, Miloud 8 Betancor Perez, Jorge Juan 8 Guliyev, Vagif Sabir 8 He, Jianxun 7 Ben Salem, Nejib 7 Rejeb, Chaabane 7 Soltani, Fethi 6 Bouzeffour, Fethi 6 Fitouhi, Ahmed 6 Mili, Maher 5 Anker, Jean-Philippe 5 Betancor-Ortiz, Juan Diego 5 Chouchene, Frej 5 Dachraoui, Azza 5 Dziri, Moncef 5 El Hamma, Mohamed 5 Hassini, Amina 5 Méndez, J. M. R. 5 Napalkov, Valentin Vasil’evich 5 Zhao, Jiman 4 Abdelkefi, Chokri 4 Aliev, Ilham A. 4 Amri, Besma 4 Arteaga, Cristian 4 Ben Hamadi, Nadia 4 Deleaval, Luc 4 Hasanov, Javanshir J. 4 Mammadov, Yagub Y. 4 Marrero, Isabel 4 Nessibi, Mohamed Mounir 4 Peng, Lizhong 4 Salem, Ahmedou Ould Ahmed 4 Vinogradov, Oleg Leonidovich 4 Voit, Michael 3 Ahmed, Taieb 3 Amri, Bechir 3 Atef, Rahmouni 3 Baccar, Cyrine 3 Boumenir, Amin A. 3 Boussen, Asma 3 Chettaoui, Chirine 3 Ciaurri, Óscar 3 de Jeu, Marcel 3 Ghobber, Saifallah 3 Gorbachëv, Dmitriĭ Viktorovich 3 Ha Huy Bang 3 Hammami, Aymen 3 Huang, Jizheng 3 Huy, Vu Nhat 3 Ivanov, Valeriy Ivanovich 3 Kawazoe, Takeshi 3 Kim, Vitaly E. 3 Liu, Heping 3 Maalaoui, Rayaane 3 Maslouhi, Mostafa 3 Mokni, Kamel 3 Negzaoui, Selma 3 Omri, Salem 3 Othmani, Youssef 3 Platonov, Sergei S. 3 Rösler, Margit 3 Salem, N. Ben 3 Selmi, Belgacem 3 Sraieb, Nadia 3 Touahri, Kamel 3 Varona Malumbres, Juan Luis 3 Xu, Yuan 2 Abdel-Halim Hassan, I. H. 2 Andersen, Nils Byrial 2 Ayadi, Sihem 2 Ben Farah, Slaïm 2 Ben Hammouda, Med Saber 2 Ben Mohamed, Hassen 2 Bennasr, Lassad 2 Bettaibi, Néji 2 Blower, Gordon 2 Bouzaffour, Fethi 2 Bray, William O. 2 Cerejeiras, Paula 2 Chabeh, W. 2 Chouchane, F. 2 Dziubański, Jacek 2 Ekincioglu, Ismail 2 El Kamel, Jamel 2 Fei, Minggang 2 Fu, Yingxiong 2 Gasmi, Abdessalem 2 Godefroy, Laurent 2 Hassine, Kods 2 He, Jianxun ...and 209 more Authors all top 5 Cited in 121 Serials 58 Integral Transforms and Special Functions 39 Journal of Mathematical Analysis and Applications 27 Mediterranean Journal of Mathematics 14 Journal of Computational and Applied Mathematics 13 Journal of Pseudo-Differential Operators and Applications 11 Advances in Pure and Applied Mathematics 10 Complex Analysis and Operator Theory 9 Journal of Functional Analysis 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 Korean Journal of Mathematics 6 Applicable Analysis 6 Rocky Mountain Journal of Mathematics 5 Mathematical Notes 5 Applied Mathematics and Computation 5 International Journal of Mathematics and Mathematical Sciences 5 Potential Analysis 5 Journal of Mathematical Sciences (New York) 5 Bulletin des Sciences Mathématiques 5 Acta Mathematica Sinica. English Series 5 Analysis and Applications (Singapore) 4 Transactions of the American Mathematical Society 4 Constructive Approximation 4 Annales Mathématiques Blaise Pascal 4 Doklady Mathematics 4 Positivity 4 Journal of Inequalities and Applications 4 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 4 Afrika Matematika 3 Archiv der Mathematik 3 Journal of Approximation Theory 3 Proceedings of the American Mathematical Society 3 International Journal of Mathematics 3 Advances in Applied Clifford Algebras 3 The Ramanujan Journal 3 Abstract and Applied Analysis 3 International Journal of Wavelets, Multiresolution and Information Processing 3 Journal of Function Spaces and Applications 3 Advances in Difference Equations 3 Complex Variables and Elliptic Equations 3 Journal of Function Spaces 2 Analysis Mathematica 2 Journal d’Analyse Mathématique 2 The Annals of Probability 2 Le Matematiche 2 Mathematische Nachrichten 2 Monatshefte für Mathematik 2 Proceedings of the Japan Academy. Series A 2 Results in Mathematics 2 Ricerche di Matematica 2 Acta Mathematica Hungarica 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Indagationes Mathematicae. New Series 2 Boletín de la Sociedad Matemática Mexicana. Third Series 2 Arab Journal of Mathematical Sciences 2 Mathematical Problems in Engineering 2 Vietnam Journal of Mathematics 2 Fractional Calculus & Applied Analysis 2 Cubo 2 Communications in Mathematical Analysis 2 Journal of Mathematics 1 Journal of the Franklin Institute 1 Journal of Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Reports on Mathematical Physics 1 Ukrainian Mathematical Journal 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Annales Polonici Mathematici 1 Bulletin de la Société Mathématique de France 1 Calcolo 1 Collectanea Mathematica 1 Compositio Mathematica 1 Czechoslovak Mathematical Journal 1 Glasgow Mathematical Journal 1 Indiana University Mathematics Journal 1 Journal of the Mathematical Society of Japan 1 Journal of Soviet Mathematics 1 Mathematische Zeitschrift 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Revista de la Unión Matemática Argentina 1 Tohoku Mathematical Journal. Second Series 1 Tokyo Journal of Mathematics 1 Bulletin of the Korean Mathematical Society 1 Acta Applicandae Mathematicae 1 Bulletin of the Iranian Mathematical Society 1 Journal of Theoretical Probability 1 Mathematical and Computer Modelling 1 Neural Networks 1 European Journal of Applied Mathematics 1 The Journal of Geometric Analysis 1 International Journal of Computer Mathematics 1 Stochastics and Stochastics Reports 1 Journal of Mathematical Imaging and Vision 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Russian Mathematics 1 Applied and Computational Harmonic Analysis 1 Journal of the Egyptian Mathematical Society 1 Georgian Mathematical Journal 1 Journal of Difference Equations and Applications ...and 21 more Serials all top 5 Cited in 34 Fields 204 Harmonic analysis on Euclidean spaces (42-XX) 142 Abstract harmonic analysis (43-XX) 117 Integral transforms, operational calculus (44-XX) 85 Special functions (33-XX) 67 Operator theory (47-XX) 61 Functional analysis (46-XX) 53 Partial differential equations (35-XX) 30 Ordinary differential equations (34-XX) 19 Topological groups, Lie groups (22-XX) 19 Potential theory (31-XX) 18 Geometry (51-XX) 17 Approximations and expansions (41-XX) 15 Functions of a complex variable (30-XX) 14 Probability theory and stochastic processes (60-XX) 13 Quantum theory (81-XX) 12 Real functions (26-XX) 8 Difference and functional equations (39-XX) 8 Numerical analysis (65-XX) 7 Integral equations (45-XX) 7 Information and communication theory, circuits (94-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Group theory and generalizations (20-XX) 4 Biology and other natural sciences (92-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 2 Computer science (68-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Nonassociative rings and algebras (17-XX) 1 Measure and integration (28-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Fluid mechanics (76-XX) 1 Systems theory; control (93-XX) Citations by Year