Let (X,d) denote a locally connected, connected separable metric space. We say the X is S-metrizable provided there is a topologically equivalent metric ρ on X such that (X,ρ) has Property S, i.e. for any ϵ>0, X is the ...

A study is made of certain completeness properties of the space of allcontinuous real-valued functions on a space, where this function space has the compact-open topology.

A study is made of the properties on X which characterize when Cπ(X) is a k-space, where Cπ(X) is the space of real-valued continuous functions on X having the topology of pointwise convergence. Other properties related ...

This paper studies the topological properties of two kinds of fine topologies on the space C(X,Y) of all continuous functions from X into Y.

We have measured the spectral momentum density ρ(E,q) of graphite by (e,2e) spectroscopy for momentum parallel and perpendicular to the crystal c axis. In the independent-electron approximation, ρ(E,q)=ΣG‖Uk(G)‖2 ...

An (e, 2e) spectrometer has been constructed for detecting scattered and recoiling electrons from a thin solid film. The cross section for observing the two electrons in coincidence is proportional to the spectral momentum ...

A theorem is presented on the location of the essential spectrum of certain intermediate Hamiltonians used to construct lower bounds to bound‐state energies of multiparticle atomic and molecular systems. This result is an ...

A Fabry-Perot etalon placed in the object plane of a coherent optical processing system can be used as a variable bandpass preprocessing filter. Use of this filter leads to improved correlation signals in a matched spatial ...

We describe a self-referencing interferometer in which the wavefront and its complex conjugate are generated in a Fabry-Perot cavity having one phase conjugate mirror (PCM). The finite response time of the PCM allows one ...

A technique is proposed whereby a 2-D distribution is transmitted via a set of 1-D projections. The color-coded projections are produced by illuminating the object with the dispersed spectrum of a white light source. They ...