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Displaying 21 – 36 of 36

On the second order derivatives of convex functions on the Heisenberg group

Cristian E. Gutiérrez, Annamaria Montanari (2004)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

In the euclidean setting the celebrated Aleksandrov-Busemann-Feller theorem states that convex functions are a.e. twice differentiable. In this paper we prove that a similar result holds in the Heisenberg group, by showing that every continuous $ℋ$ –convex function belongs to the class of functions whose second order horizontal distributional derivatives are Radon measures. Together with a recent result by Ambrosio and Magnani, this proves the existence a.e. of second order horizontal derivatives for...

On the Segal-Shale-Weil Representations and Harmonic Polynomials.

M. Kashiwara, M. Vergne (1978)

Inventiones mathematicae

On the singular support of distributions and Fourier transforms on symmetric spaces

Adimurthi, S. Kumaresan (1979)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

On the topological structure of a monoid on a manifold with boundary.

B.M. Castellano (1984)

Semigroup forum

On the unitary dual of some classical Lie groups

Susana Salamanca Riba (1988)

Compositio Mathematica

On the unitary dual of the classical Lie groups II. Representations of $S O (n, m)$ inside the dominant Weyl Chamber

Susana A. Salamanca-Riba (1993)

Compositio Mathematica

Opérateurs différentiels bi-invariants

Mustapha Raïs (1976/1977)

Séminaire Bourbaki

Opérateurs différentiels bi-invariants sur un groupe de Lie

Michel Duflo (1977)

Annales scientifiques de l'École Normale Supérieure

Opérateurs invariants hypoelliptiques sur un groupe de Lie nilpotent

R. Beals (1976/1977)

Séminaire Équations aux dérivées partielles (Polytechnique)

Opérateurs pseudodifférentiels et représentations unitaires des groupes de Lie

Dominique Manchon (1995)

Bulletin de la Société Mathématique de France

Orbit closures of generic unipotent flows on homogeneous spaces of SL (3, IR).

G.A. Margulis, S.G. Dani (1990)

Mathematische Annalen

Orbital integrals and a family of groups attached to a real reductive group

Diana Shelstad (1979)

Annales scientifiques de l'École Normale Supérieure

Orbital theory for affine Lie algebras.

I.B. Frenkel (1984)

Inventiones mathematicae

Orthogonal symmetric pairs and the Rouvière isomorphism. (Paires symétriques orthogonales et isomorphisme de Rouvière.)

Torossian, Charles (2005)

Journal of Lie Theory

Orthogonality within the families of $C$ -, $S$ -, and $E$ -functions of any compact semisimple Lie group.

Moody, Robert V., Patera, Jiri (2006)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Oscillating multipliers on the Heisenberg group

E. K. Narayanan, S. Thangavelu (2001)

Colloquium Mathematicae

Let ℒ be the sublaplacian on the Heisenberg group Hⁿ. A recent result of Müller and Stein shows that the operator $ℒ^{- 1 / 2} s i n \sqrt ℒ$ is bounded on $L^{p} (H ⁿ)$ for all p satisfying |1/p - 1/2| < 1/(2n). In this paper we show that the same operator is bounded on $L^{p}$ in the bigger range |1/p - 1/2| < 1/(2n-1) if we consider only functions which are band limited in the central variable.

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