We relate the classical approximations SN (f)(x) of O.Szasz to the Bergman kernel of the Bargmann-Fock space H(C, e |z| 2 dm(z)). This relation is the analogue for compact toric varieties of the relation between Bernstein polynomials and Bergman kernels on compact toric Kähler varieties of S. Zelditch. The relation is then used to generalize the Szasz analytic functions to any infinite volume t...

A multivariat,e-state HMM an HMM with a vector state variable can be used to find jointly optimal phonetic and formant transcriptions of an utterance. The complexity of searching a multivariate state space using the BaumWelch algorithm is substantial, but may be significantly reduced if the formant frequencies are assumed to be conditionally independent given knowledge of the phone. Operating w...

This paper considers states on the Weyl algebra of the canonical commutation relations over the phase space R. We show that a state is regular iff its classical limit is a countably additive Borel probability measure on R. It follows that one can “reduce” the state space of the Weyl algebra by altering the collection of quantum mechanical observables so that all states are ones whose classical ...

This paper investigates the problem of global asymptotic stability of fixed-point statespace two-dimensional (2-D) digital filters described by the Roesser model in the presence of finite wordlength nonlinearities. The class of nonlinearities under consideration captures the combined effects of quantization (except value truncation) and overflow arithmetic employed in practice. A new criterion ...

We show that the category of convergence approach spaces is a simultaneously reective and coreective subcategory of the category of latticevalued limit spaces. Further we study the preservation of diagonal conditions, which characterize approach spaces. It is shown that the category of preapproach spaces is a simultaneously reective and coreective subcategory of the category of lattice-valued p...

depend on the activated mode of operation q(t) ∈ Q and are influenced by disturbances d(t). The discrete controller implements a state-dependent switching law to trigger mode transitions in the plant, such that specifications r(t) imposed on the continuous state x(t) are met. A central control task of DCCS concerns the stabilization of stationary periodic operations, which map into p-periodic l...

This paper demonstrates the application of a numerical continuation method to dynamic piecewise aeroelastic systems. The aeroelastic system is initially converted into a state space form, and then into a set of equations which solve the system as the motion moves between different linear zones in a freeplay motion. Once an initial condition is found that satisfies these sets of equations a cont...

In this paper we consider algebras with involution over a ring C which is given by the quadratic extension by i of an ordered ring R. We discuss the -representation theory of such -algebras on pre-Hilbert spaces over C and develop the notions of Rieffel induction and formal Morita equivalence for this category analogously to the situation for C-algebras. Throughout this paper the notion of posi...

Human subjects standing in a sinusoidally moving visual environment display postural sway with characteristic dynamical properties. We analyzed the spatio-temporal properties of this sway in an experiment in which the frequency of the visual motion was varied. We found a constant gain near one, which implies that the sway motion matches the spatial parameters of the visual motion for a large ra...

The group SU(2) × SU(2) acts naturally on SL(2,C) by simultaneous right and left multiplication. We study the Kähler metrics invariant under this action using a global Kähler potential. The volume growth and various curvature quantities are then explicitly computable. Examples include metrics of positive, negative and zero Ricci curvature, and the 1-lump metric of the CP -model on a sphere. We ...