Criteria for Closedness of Spectral Measures and Completeness of Boolean Algebras of Projections
โ Scribed by S Okada; W.J Ricker
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 190 KB
- Volume
- 232
- Category
- Article
- ISSN
- 0022-247X
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๐ SIMILAR VOLUMES
## Abstract We derive an adiabaticโtype theorem that expresses the section determinants of spectral projections of a selfadjoint operator through the solution to an operatorโvalued WienerโHopf equation. The solution theory of this equation is developed and for a special case a concrete criterion th
The completeness criteria for the basis set of explicitly correlated Gaussian-type geminals adapted to C symmetry are given. Specifically, we show that any pair function of โบ q ฯฑv symmetry can be expanded in terms of products involving two spherical Gaussian orbitals located on the internuclear axis