Backward stochastic differential equations in a Lie group
Banach algebras associated with Laplacians on solvable Lie groups and injectivity of the Harish-Chandra transform
For any connected Lie group G and any Laplacian Λ = X²₁ + ⋯ + X²ₙ ∈ 𝔘𝔤 (X₁,...,Xₙ being a basis of 𝔤) one can define the commutant 𝔅 = 𝔅(Λ) of Λ in the convolution algebra ℒ¹(G) as well as the commutant ℭ(Λ) in the group C*-algebra C*(G). Both are involutive Banach algebras. We study these algebras in the case of a "distinguished Laplacian" on the "Iwasawa part AN" of a semisimple Lie group. One obtains a fairly good description of these algebras by objects derived from the semisimple group....
Banach Convolution Algebras of Functions II.
Banach spaces admitting essentially infinite-dimensional representation of a compact group
Banach-Hecke algebras and -adic Galois representations.
Banach-Lie algebras of compact operators
Bands on trees.
Barth-Lefschetz theorems for singular spaces.
Barycentres de sous-mesures pathologiques.
Base change for Bernstein centers of depth zero principal series blocks
Let be an unramified group over a -adic field. This article introduces a base change homomorphism for Bernstein centers of depth-zero principal series blocks for and proves the corresponding base change fundamental lemma. This result is used in the approach to Shimura varieties with -level structure initiated by M. Rapoport and the author in [15].
Base d'ondelettes sur les groupes de Lie stratifiés
Basic conjugacy theorems for G2.
Bending deformations of complex hyperbolic surfaces.
Berezin quantization and holomorphic representations
Berezin transform for non-scalar holomorphic discrete series
Let be a Hermitian symmetric space of the non-compact type and let be a discrete series representation of which is holomorphically induced from a unitary irreducible representation of . In the paper [B. Cahen, Berezin quantization for holomorphic discrete series representations: the non-scalar case, Beiträge Algebra Geom., DOI 10.1007/s13366-011-0066-2], we have introduced a notion of complex-valued Berezin symbol for an operator acting on the space of . Here we study the corresponding...
Berezin--Toeplitz quantization on the Schwartz space of bounded symmetric domains.
Berezin-Weyl quantization for Cartan motion groups
We construct adapted Weyl correspondences for the unitary irreducible representations of the Cartan motion group of a noncompact semisimple Lie group by using the method introduced in [B. Cahen, Weyl quantization for semidirect products, Differential Geom. Appl. 25 (2007), 177--190].
Besov algebras on Lie groups of polynomial growth
We prove an algebra property under pointwise multiplication for Besov spaces defined on Lie groups of polynomial growth. When the setting is restricted to H-type groups, this algebra property is generalized to paraproduct estimates.
Besov spaces and function series on Lie groups
In the paper we investigate the absolute convergence in the sup-norm of Harish-Chandra's Fourier series of functions belonging to Besov spaces defined on non-compact connected Lie groups.
Beurling algebras on locally compact groups, tensor products, and multipliers