A band is a semigroup consisting of idempotents. It is proved that for any field K and any band S with finitely many components, the semigroup algebra K[S] can be embedded in upper triangular matrices over a commutative K-algebra. The proof of a theorem of Malcev [4, Theorem 10] on embeddability of algebras into matrix algebras over a field is corrected and it is proved that if S = F ∪ E is a b...

In analogy with steerable wavelets, we present a general construction of adaptable tight wavelet frames, with an emphasis on scaling operations. In particular, the derived wavelets can be “dilated” by a procedure comparable to the operation of steering steerable wavelets. The fundamental aspects of the construction are the same: an admissible collection of Fourier multipliers is used to extend ...

The screened electron-electron interaction in a multi-band electron system is calculated within the random phase approximation and in the tight-binding representation. The obtained dielectric matrix contains, beside the usual site-site correlations, also the site-bond and bond-bond correlations, and thus includes all physically relevant polarization processes. The arguments are given that the b...

Rotational band structures in Dy were studied by projectile inelastic excitation on a Sn target at near-barrier energies. States with spin up to 24(22) of the ground-state band and 18(18) of the g-vibrational band in Dy(Dy) were populated in these reactions. States with spin spanning from 8 to 20 of the rotationally aligned S band in Dy were populated by way of its band-crossing point with the ...

We consider Hermitian and symmetric random band matrices H in d > 1 dimensions. The matrix elements Hxy, indexed by x, y ∈ Λ ⊂ Z, are independent, uniformly distributed random variables if |x − y| is less than the band width W , and zero otherwise. We prove that the time evolution of a quantum particle subject to the Hamiltonian H is diffusive on time scales t W . We also show that the localiza...

This paper represents a study on land-cover classification using different polarimetric SAR features. The experiment is carried out using Cand L-band fully polarimetric EMISAR data acquired on July 5 and 6, 1995 over an agricultural area in Fjärdhundra, near Uppsala, Sweden. The polarimetric features investigated are coherency matrix, intensity of both Cand L-band SAR, and Cloud decomposition p...