A Uniform Boundedness Principle for Compact Sets and the Decay of Fourier Transforms.
A uniformly bounded representation associated to a free set in a discrete group
Abschätzung von Normen gewisser Matrizen und eine Anwendung.
Absolute convergence of Fourier series on finite-dimensional groups
Addition to the paper “Translation invariant subspaces of ” Studia Mathematica 48 (1973), pp. 245-250
Algèbres et convoluteurs de
Amenability properties of Figà-Talamanca-Herz algebras on inverse semigroups
This paper continues the joint work with A. R. Medghalchi (2012) and the author’s recent work (2015). For an inverse semigroup S, it is shown that has a bounded approximate identity if and only if l¹(S) is amenable (a generalization of Leptin’s theorem) and that A(S), the Fourier algebra of S, is operator amenable if and only if l¹(S) is amenable (a generalization of Ruan’s theorem).
An abstract version of Herz' imbedding theorem
An approximation theorem for semigroups of operators
An F. and M. Riesz theorem for bounded symmetric domains
We generalize the classical F. and M. Riesz theorem to metrizable compact groups whose center contains a copy of the circle group. Important examples of such groups are the isotropy groups of the bounded symmetric domains.The proof uses a criterion for absolute continuity involving spaces with : A measure on a compact metrisable group is absolutely continuous with respect to Haar measure on if for some a certain subspace of which is related to has sufficiently many continuous linear...
An -criterion of amenability for a locally compact group.
An obstruction to -dimension
Let be any group containing an infinite elementary amenable subgroup and let . We construct an exhaustion of by closed invariant subspaces which all intersect trivially a fixed non-trivial closed invariant subspace. This is an obstacle to -dimension and gives an answer to a question of Gaboriau.
Analyse harmonique, analyse complexe et géométrie des espaces de Banach
Analytische Vektoren von Faltungshalbgruppen II. Funktionenräume auf lokalkompakten Gruppen.
Analytische Vektoren von Faltungshalbgruppen III. Potentiale von Faltungshalbgruppen.
Applications of the Theory of Hardy Spaces to Harmonic Analysis on the Heisenberg Groups.
Approximate Regularity of Commutative Beurling Algebras and Korovkin Approximation.
Autocorrelation Functions as Translation Invariants in L... and L...
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.