the in-situ method of synthesis has been used to isolate oxovanadium(iv) complexes with ligands derived by reaction of benzil with amino acids such as glycine, alanine, serine, cysteine and valine, where template effect of vo +2 cation appears to play an important role. the complexes are characterised by elemental analysis, magnetic moment measurements and spectral (infrared, electronic and ele...

We report on spectral intensity and group delay measurements of the highest-occupied molecular-orbital (HOMO) recombination dipole moment of N_{2} in the molecular-frame using high harmonic spectroscopy. We take advantage of the long-wavelength 1.3  μm driving laser to isolate the HOMO in the near threshold region, 19-67 eV. The precision of our group delay measurements reveals previously unsee...

We show that the classical Hamburger moment problem can be included in the spectral theory of generalized indefinite strings. Namely, we introduce the class of Krein–Langer strings and show that there is a bijective correspondence between moment sequences and this class of generalized indefinite strings. This result can be viewed as a complement to the classical results of M. G. Krein on the co...

which is clearly angle-dependent. If all orientations of L with respect to B were allowed, then a continuous range of E would occur and an atomic transition would show a spectral line broadened by an amount proportional to the field strength. Instead such spectral lines are observed to split into several discrete lines, indicating that only certain values of L · B are allowed; this implies spat...

This paper concerns with numerical approximations of solutions of fully nonlinear second order partial differential equations (PDEs). A new notion of weak solutions, called moment solutions, is introduced for fully nonlinear second order PDEs. Unlike viscosity solutions, moment solutions are defined by a constructive method, called the vanishing moment method, and hence, they can be readily com...

We study the spectral norm of matrices W that can be factored as W = BA, where A is a random matrix with independent mean zero entries and B is a fixed matrix. Under the (4 + ε)-th moment assumption on the entries of A, we show that the spectral norm of such an m×n matrix W is bounded by √ m + √ n, which is sharp. In other words, in regard to the spectral norm, products of random and determinis...

Our investigations are motivated by recent papers concerning the spectral moments of the edge-adjacency matrix, which were successfully employed in QSAR and QSPR studies of different classes of compounds [Estrada, E. J. Chem. Inf. Comput. Sci. 1996, 36, 844-849; 1997, 37, 320-328; 1998, 38, 23-27]. In this work, the evaluation of the 10th spectral moment of the vertex-adjacency matrix for pheny...

In this paper, we provide a detailed analysis of the global convergence properties of an extensively studied and extremely effective fixed-point algorithm for the Kullback–Leibler approximation of spectral densities, proposed by Pavon and Ferrante in [1]. Our main result states that the algorithm globally converges to one of its fixed points. Index Terms Approximation of spectral densities, spe...

1. The moment expansion 2. Spectral expansion: reduction to GL2 3. Spectral expansion for GL2 4. Continuation and holomorphy at s′ = 0 for GL2 5. Spectral expansion for GLr 6. Continuation and holomorphy at s′ = 0 for GLr 7. Appendix: half-degenerate Eisenstein series 8. Appendix: Eisenstein series for GL2 9. Appendix: residues of degenerate Eisenstein series for Pn−1,1 10. Appendix: degenerate...