Convolution operators on Hardy spaces
We give sufficient conditions on the kernel K for the convolution operator Tf = K ∗ f to be bounded on Hardy spaces , where G is a homogeneous group.
Convolution operators on the dual of hypergroup algebras
Let be a hypergroup. In this paper, we define a locally convex topology on such that with the strong topology can be identified with a Banach subspace of . We prove that if has a Haar measure, then the dual to this subspace is has compact carrier}. Moreover, we study the operators on and which commute with translations and convolutions. We prove, among other things, that if is left stationary, then there is a weakly compact operator on which commutes with convolutions if and...
Convolution Products in L1(R+), Integral Transforms and Fractional Calculus
Mathematics Subject Classification: 43A20, 26A33 (main), 44A10, 44A15We prove equalities in the Banach algebra L1(R+). We apply them to integral transforms and fractional calculus.* Partially supported by Project BFM2001-1793 of the MCYT-DGI and FEDER and Project E-12/25 of D.G.A.
Convolution Quotients of Nonnegative Functions.
Convolution Semigroups and Resolvent Families of Measures on Hypergroups.
Convolution Semigroups of Local Type.
Convolution-dominated integral operators
For a locally compact group G we consider the algebra CD(G) of convolution-dominated operators on L²(G), where an operator A: L²(G) → L²(G) is called convolution-dominated if there exists a ∈ L¹(G) such that for all f ∈ L²(G) |Af(x)| ≤ a⋆|f|(x), for almost all x ∈ G. (1) The case of discrete groups was treated in previous publications [fgl08a, fgl08]. For non-discrete groups we investigate a subalgebra of regular convolution-dominated operators generated by product convolution operators, where the...
Convolutions and factorization theorems
Convolutions of probability measures on semigroups.
Convolutions of Vector Fields-I.
Convolutions on compact groups and Fourier algebras of coset spaces
We study two related questions. (1) For a compact group G, what are the ranges of the convolution maps on A(G × G) given for u,v in A(G) by u × v ↦ u*v̌ (v̌(s) = v(s^-1)) and u × v ↦ u*v? (2) For a locally compact group G and a compact subgroup K, what are the amenability properties of the Fourier algebra of the coset space A(G/K)? The algebra A(G/K) was defined and studied by the first named author. In answering the first question, we obtain, for compact groups which do not...
Correction and Addition to Szegö Kernels Associated with Discrete Series.
Correction to the paper "Divergent trajectories of flows on homogeneous spaces and Diophantine approximations".
Correction to the paper "On unitary representations of Jacobi groups".
Correction to the paper "Some problems and remarks on relative multipliers''
Correction to the paper "The structure space of the trigonometric polynomials on a comapct group".
Corrections à: «Transformations de Fourier et majoration de sommes exponentielles»
Corrigenda: On the product theory of singular integrals.
We wish to acknowledge and correct an error in a proof in our paper On the product theory of singular integrals, which appeared in Revista Matemática Iberoamericana, volume 20, number 2, 2004, pages 531-561.
Corrigendum and addendum to "A generalization of Wiener's criteria for the continuity of a Borel measure"
Corrigendum and addendum to the paper "A simple diophantine condition in harmonic analysis" Studia Math. 52 (1972), pp. 195-202