on spaces of homogeneous type: a density result on - spaces.
Balayage by Fourier transforms with sparse frequencies in compact abelian groups
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 algebras with unique uniform norm II
Semisimple commutative Banach algebras 𝓐 admitting exactly one uniform norm (not necessarily complete) are investigated. 𝓐 has this Unique Uniform Norm Property iff the completion U(𝓐) of 𝓐 in the spectral radius r(·) has UUNP and, for any non-zero spectral synthesis ideal ℐ of U(𝓐), ℐ ∩ 𝓐 is non-zero. 𝓐 is regular iff U(𝓐) is regular and, for any spectral synthesis ideal ℐ of 𝓐, 𝓐/ℐ has UUNP iff U(𝓐) is regular and for any spectral synthesis ideal ℐ of U(𝓐), ℐ = k(h(𝓐 ∩ ℐ)) (hulls...
Banach Convolution Algebras of Functions II.
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.