On a recurrence formula for elementary spherical functions on symmetric spaces and its applications to multipliers for the spherical Fourier transform.
On commutative approximate identities
On convolution operators with small support which are far from being convolution by a bounded measure
Let be the left convolution operators on with support included in F and denote those which are norm limits of convolution by bounded measures in M(F). Conditions on F are given which insure that , and are as big as they can be, namely have as a quotient, where the ergodic space W contains, and at times is very big relative to . Other subspaces of are considered. These improve results of Cowling and Fournier, Price and Edwards, Lust-Piquard, and others.
On Exact Toral Endomorphisms.
On L... Fourier multipliers on certain symmetric spaces.
On Lp Spectral Multipliers for a Solvable Lie Group.
On some spaces of linear functionals on the algebras for locally compact groups
On the Banach algebra A (...) for smooth sets ... Rn.
On the characters of exponential solvable Lie groups
On the continuity of convolution semigroups.
On the continuity of quotient multipliers
On the Fourier Transformation on Spaces of (p, q)-Multipliers.
On the Hausdorff-Young Theorem for Amalgams.
On the o-Spektrum of Regular Operators and the Spectrum of Measures.
On the Siegel-Weil Formula.
On the spectrum of the Laplacian on the affine group of the real line
Operators associated with representations of amenable groups singular integrals induced by ergodic flows, the rotation method and multipliers
Operators on VN(G) commuting with A(G)
Optimal boundedness of central oscillating multipliers on compact Lie groups
Fefferman-Stein, Wainger and Sjölin proved optimal boundedness for certain oscillating multipliers on . In this article, we prove an analogue of their result on a compact Lie group.
Order convolution and vector-valued multipliers
Let I = (0,∞) with the usual topology. For x,y ∈ I, we define xy = max(x,y). Then I becomes a locally compact commutative topological semigroup. The Banach space L¹(I) of all Lebesgue integrable functions on I becomes a commutative semisimple Banach algebra with order convolution as multiplication. A bounded linear operator T on L¹(I) is called a multiplier of L¹(I) if T(f*g) = f*Tg for all f,g ∈ L¹(I). The space of multipliers of L¹(I) was determined by Johnson and Lahr. Let X be a Banach space...