Let H n be the Drury-Arveson space on the unit ball B in C , and suppose that n ≥ 2. Let kz, z ∈ B, be the normalized reproducing kernel for H n. In this paper we consider the following rather basic question in the theory of the Drury-Arveson space: For f ∈ H n, does the condition sup|z|<1 ‖fkz‖ < ∞ imply that f is a multiplier of H n? We show that the answer is negative. We further show that t...

In this paper we prove an abstract homomorphism theorem for bilinear multipliers in the setting of locally compact Abelian (LCA) groups. We also provide some applications. In particular, we obtain a bilinear abstract version of K. de Leeuw’s theorem for bilinear multipliers of strong and weak type. We also obtain necessary conditions on bilinear multipliers on non-compact LCA groups, yielding b...

We consider the Banach-Mackey property for pairs of vector spaces E and E′ which are in duality. Let A be an algebra of sets and assume that P is an additive map from A into the projection operators on E. We define a continuous gliding hump property for the map P and show that pairs with this gliding hump property and another measure theoretic property are Banach-Mackey pairs,i.e., weakly bound...

form expressions for the polynomials for the triangle, for example, are believed not to have been known previously. Certain properties of the polynomials of an orthogonal system for which expressions in closed form exist can be derived easily. This, in fact, motivates the search for them. For instance, for all the systems obtained above the generating function can be obtained by means of Lagran...

In this paper we consider the following problem known as implicit Lagrange problem nd the trajectory x argument of

This note describes an algorithm for computing Bogomolov multipliers of finite solvable groups. Compared to the existing ones, this algorithm has improved performance and is able to recognize the commutator relations of the group that constitute its Bogomolov multiplier. As a sample case we use the algorithm to effectively determine the multipliers of groups of order 128. The two serving purpos...

The notion of umbrella contingencies is rigorously defined in the context of the security-constrained optimal power flow (SCOPF) problem in both its deterministic and probabilistic forms. The set of umbrella contingencies is a subset of the set of credible contingencies that is sufficient to attain levels of security and economic performance identical or nearly identical to those found when all...