A characterization of bi-invariant Schwartz space multipliers on nilpotent Lie groups
A characterization of completely bounded multipliers of Fourier algebras
A characterization of the invertible measures
Let G be a locally compact abelian group and M(G) its measure algebra. Two measures μ and λ are said to be equivalent if there exists an invertible measure ϖ such that ϖ*μ = λ. The main result of this note is the following: A measure μ is invertible iff |μ̂| ≥ ε on Ĝ for some ε > 0 and μ is equivalent to a measure λ of the form λ = a + θ, where a ∈ L¹(G) and θ ∈ M(G) is an idempotent measure.
A convolution approximation property for (G)
A functional calculus for Rockland operators on nilpotent Lie groups
A multiplier theorem for H-type groups
We prove an -boundedness result for a convolution operator with rough kernel supported on a hyperplane of a group of Heisenberg type.
A multiplier theorem for ultraspherical series
A note on analytic measures.
A note on multipliers on a Segal algebra
À propos des convoluteurs d'un groupe quotient
A remark on a Marcinkiewicz-Hörmander multiplier theorem for some non-differential convolution operators
A spectral theory for locally compact abelian groups of automorphisms of commutative Banach algebras
Let A be a commutative Banach algebra with Gelfand space ∆ (A). Denote by Aut (A) the group of all continuous automorphisms of A. Consider a σ(A,∆(A))-continuous group representation α:G → Aut(A) of a locally compact abelian group G by automorphisms of A. For each a ∈ A and φ ∈ ∆(A), the function t ∈ G is in the space C(G) of all continuous and bounded functions on G. The weak-star spectrum is defined as a closed subset of the dual group Ĝ of G. For φ ∈ ∆(A) we define to be the union of all...
A subelliptic Bourgain–Brezis inequality
We prove an approximation lemma on (stratified) homogeneous groups that allows one to approximate a function in the non-isotropic Sobolev space by functions, generalizing a result of Bourgain–Brezis. We then use this to obtain a Gagliardo–Nirenberg inequality for on the Heisenberg group .
A theorem concerning the multipliers for functions with Fourier transforms in
A Theorem of Beurling-Helson Type.
A uniformly bounded representation associated to a free set in a discrete group
A Universal Topology for Sequence Spaces.
A weighted multiplier theorem for Rockland operators
Addendum to the paper "Weak-strong convolution operators on certain disconnected groups"
Amenability in Group Algebras and Banach Algebras.