Banach spaces admitting essentially infinite-dimensional representation of a compact group
Banach Spaces of Compact Multipliers and Their Dual Spaces.
Banach Spaces Related to Integrable Group Representations and Their Atomic Decompositions. Part II.
Barycentres de sous-mesures pathologiques.
Base d'ondelettes sur les groupes de Lie stratifiés
Basic relative invariants associated to homogeneous cones and applications.
Bellman approach to some problems in harmonic analysis
The stochastic optimal control uses the differential equation of Bellman and its solution - the Bellman function. Recently the Bellman function proved to be an efficient tool for solving some (sometimes old) problems in harmonic analysis.
Berezin transform on line bundles over bounded symmetric domains.
Berezin transforms and group representations.
Berezin--Toeplitz quantization on the Schwartz space of bounded symmetric domains.
Bernoulli convolutions in LCA groups
Besov spaces and function series on Lie groups.
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.
Besov spaces and function series on Lie groups (II).
In this paper we investigate the absolute convergence in the sup-norm of two-sided Harish-Chandra's Fourier series of functions belonging to Zygmund-Hölder spaces defined on non-compact connected Lie groups.[Part I of the article in MR1240211].
Besov spaces on symmetric manifolds—the atomic decomposition
We give the atomic decomposition of the inhomogeneous Besov spaces defined on symmetric Riemannian spaces of noncompact type. As an application we get a theorem of Bernstein type for the Helgason-Fourier transform.
Beurling algebras and uniform norms
Given a locally compact abelian group G with a measurable weight ω, it is shown that the Beurling algebra L¹(G,ω) admits either exactly one uniform norm or infinitely many uniform norms, and that L¹(G,ω) admits exactly one uniform norm iff it admits a minimum uniform norm.
Beurling algebras on locally compact groups, tensor products, and multipliers
Beurling-Figà-Talamanca-Herz algebras
For a locally compact group G and p ∈ (1,∞), we define and study the Beurling-Figà-Talamanca-Herz algebras . For p = 2 and abelian G, these are precisely the Beurling algebras on the dual group Ĝ. For p = 2 and compact G, our approach subsumes an earlier one by H. H. Lee and E. Samei. The key to our approach is not to define Beurling algebras through weights, i.e., possibly unbounded continuous functions, but rather through their inverses, which are bounded continuous functions. We prove that...
Beurling-Hörmander uncertainty principle for the spherical mean operator.
BGG sequences on spheres
BGG sequences on flat homogeneous spaces are analyzed from the point of view of decomposition of appropriate representation spaces on irreducible parts with respect to a maximal compact subgroup, the so called -types. In particular, the kernels and images of all standard invariant differential operators (including the higher spin analogs of the basic twistor operator), i.e. operators appearing in BGG sequences, are described.