Abstract Integrable operators arise in random matrix theory, where they describe the asymptotic eigenvalue distribution of large self-adjoint random matrices from the generalized unitary ensembles. This paper gives sufficient conditions for an integrable operator to be the square of a Hankel operator, and applies the condition to the Airy, associated Laguerre, modified Bessel and Whittaker func...

A recently developed spatial operator algebra for manipulator modeling, control and tra-jectory design is discussed. The elements of this algebra are linear operators whose domain and range spaces consist of forces, moments, velocities, and accelerations. The eeect of these operators is equivalent to a spatial recursion along the span of a manipulator. Inversion of operators can be eeciently ob...

We define a programming language independent controller TaCtl for multi-level transactions and an operator TA, which when applied to concurrent programs with multi-level shared locations containing hierarchically structured complex values, turns their behavior with respect to some abstract termination criterion into a transactional behavior. We prove the correctness property that concurrent run...

A recently developed spatial operator algebra for manipulator modeling, control and trajectory design is discussed. The elements of this algebra are linear operators whose domain and range spaces consist of forces, moments, velocities, and accelerations. The e ect of these operators is equivalent to a spatial recursion along the span of a manipulator. Inversion of operators can be e ciently obt...

A recently developed spatial operator algebra for manipulator modeling, control, and trajectory design is discussed. The elements of this algebra are linear operators whose domain and range spaces consist of forces, moments, velocities, and accelerations. The effect of these operators is equivalent to a spatial recursion along the span of a manipulator. Inversion of operators can be efficiently...

Even though design of a widening operator is an integral step in the design of an abstract interpreter using an infinite domain, not much work has been done to systematize the design of widening operator. While there exist works that derive widening of higher-level domains by lifting the widening of the base-level domain, the design of widening for baselevel domains remains largely creative pro...

We systematically analyze regularization of different kinds of ultradistribution semigroups and sines, in general, with nondensely defined generators and contemplate several known results concerning the regularization of Gevrey type ultradistribution semigroups. We prove that, for every closed linear operator A which generates an ultradistribution semigroup (sine), there exists a bounded inject...

The paper is concerned with conditions for the existence of almost periodic solutions of the following abstract functional differential equation u̇(t) = Au(t)+[Bu](t)+f(t), where A is a closed operator in a Banach space X, B is a general bounded linear operator in the function space of all X-valued bounded and uniformly continuous functions that satisfies a so-called autonomous condition. The ob...

Operator Planner SelectFromList() Default OK Cancel Language Window’s Operator Set SetLanguage() ... ... High Level Plan Sub Plan Define Abstraction 29 Effects of Exploiting the GUI’s Structure • Reduction in Planning Operators – 325 operators 32 operators – Ratio 10:1 for MS WordPad – 20:1 for MS Word • System Automatically Determines the System-interaction and Abstract Operators