The Kneser relation and the Hilbert pairing in multidimensional local field
β Scribed by K. F. Lai; S. V. Vostokov
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- English
- Weight
- 224 KB
- Volume
- 280
- Category
- Article
- ISSN
- 0025-584X
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β¦ Synopsis
Abstract
We generalize the Kneser relation to multidimensional local fields and use it to obtain an explicit formula for the Hilbert pairing of multidimensional local fields directly from the definition of the pairing. (Β© 2007 WILEYβVCH Verlag GmbH & Co. KGaA, Weinheim)
π SIMILAR VOLUMES
In a Hilbert space (H, & } &) is given a dense subspace W and a closed positive semidefinite quadratic form Q on W\_W. Thus W is a Hilbert space with the norm &u& 1 =(&u& 2 +Q(u)) 1Γ2 . For any closed subspace D of (W, & } & 1 ) let A(D) denote the selfadjoint operator in the closure of D in H such
## Abstract This article reports the application of a recently proposed formalism of domain averaged Fermi holes to the problem of the localization of electron pairs in electron localization function (ELF) domains and its possible implications for the electron pair model of chemical bond. The main