A Characterization of Pontryagin Duality.
A class of convolutors on harmonic extensions of -type groups.
A construction of convolution operators on free groups
A convolution property of some measures with self-similar fractal support
We define a class of measures having the following properties: (1) the measures are supported on self-similar fractal subsets of the unit cube , with 0 and 1 identified as necessary; (2) the measures are singular with respect to normalized Lebesgue measure m on ; (3) the measures have the convolution property that for some ε = ε(p) > 0 and all p ∈ (1,∞). We will show that if (1/p,1/q) lies in the triangle with vertices (0,0), (1,1) and (1/2,1/3), then for any measure μ in our class.
A convolution property of the Cantor-Lebesgue measure
A convolution property of the Cantor-Lebesgue measure, II
For 1 ≤ p,q ≤ ∞, we prove that the convolution operator generated by the Cantor-Lebesgue measure on the circle is a contraction whenever it is bounded from to . We also give a condition on p which is necessary if this operator maps into L²().
A few remarks on the results of Rosinski and Suchanecki concerning unconditional convergence and -sequences
A Heat Semigroup Version of Bernstein's Theorem on Lie Groups.
A Large Bi-Invariant Nuclear Function Space on a Locally Compact Group.
A multiplier counter-example for mixed-norm spaces
A new proof of the -conjecture for locally compact abelian groups
A new semilattice of function algebras and its Boolean form on a lattice of groups.
A numerical invariant for finitely generated groups via actions on graphs.
À propos des convoluteurs d'un groupe quotient
A remark on a Marcinkiewicz-Hörmander multiplier theorem for some non-differential convolution operators
A Remark on Continuity of Translation Invariant Functionals on L... (G) for Compact Lie Groups G.
A Remark on Discontinuous Translation Invariant Functionals on L... (G) for Certain Compact Groups G.
A remark on the asymmetry of convolution operators
A convolution operator, bounded on , is bounded on , with the same operator norm, if and are conjugate exponents. It is well known that this fact is false if we replace with a general non-commutative locally compact group . In this paper we give a simple construction of a convolution operator on a suitable compact group , wich is bounded on for every and is unbounded on if .
A semi-group of probability measures with non-smooth differentiable densities on a Lie group
A Simplified Constructive Proof of the Existence and Uniqueness of Haar Measure.