The Fatou theorem for NA groups - a negative result
Jarosław Sołowiej (1994)
Colloquium Mathematicae
Similarity:
Jarosław Sołowiej (1994)
Colloquium Mathematicae
Similarity:
Miloud Assal, Hacen Ben Abdallah (2005)
Annales mathématiques Blaise Pascal
Similarity:
In this paper we study generalized Besov type spaces on the Laguerre hypergroup and we give some characterizations using different equivalent norms which allows to reach results of completeness, continuous embeddings and density of some subspaces. A generalized Calderón-Zygmund formula adapted to the harmonic analysis on the Laguerre Hypergroup is obtained inducing two more equivalent norms.
Abdelkefi, Chokri, Sifi, Mohamed (2006)
Fractional Calculus and Applied Analysis
Similarity:
2000 Mathematics Subject Classification: 44A15, 44A35, 46E30 In this paper we prove that the partial Dunkl integral ST(f) of f converges to f, as T → +∞ in L^∞(νµ) and we show that the Dunkl transform Fµ(f) of f is in L^1(νµ) when f belongs to a suitable Besov-Dunkl space. We also give sufficient conditions on a function f in order that the Dunkl transform Fµ(f) of f is in a L^p -space. * Supported by 04/UR/15-02.
Georgi Karadzhov (1992)
Banach Center Publications
Similarity:
The Szegö equiconvergence theorem for the Laguerre series is improved. In particular, a system of exact sufficient conditions is given.
Hatem Mejjaoli (2012)
Annales mathématiques Blaise Pascal
Similarity:
We introduce and study the linear symmetric systems associated with the modified Cherednik operators. We prove the well-posedness results for the Cauchy problem for these systems. Eventually we describe the finite propagation speed property of it.
Cartier, Pierre (2000)
Séminaire Lotharingien de Combinatoire [electronic only]
Similarity:
Abdelkefi, Chokri, Anker, Jean-Philippe, Sassi, Feriel, Sifi, Mohamed (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Similarity:
Kharibegashvili, S. (1998)
Georgian Mathematical Journal
Similarity:
Johannes Sjöstrand (2009)
Journées Équations aux dérivées partielles
Similarity:
This text contains a slightly expanded version of my 6 hour mini-course at the PDE-meeting in Évian-les-Bains in June 2009. The first part gives some old and recent results on non-self-adjoint differential operators. The second part is devoted to recent results about Weyl distribution of eigenvalues of elliptic operators with small random perturbations. Part III, in collaboration with B. Helffer, gives explicit estimates in the Gearhardt-Prüss theorem for semi-groups.