For a class of anisotropic integrodifferential operators B arising as semigroup generators of Markov processes, we present a sparse tensor product wavelet compression scheme for the Galerkin finite element discretization of the corresponding integrodifferential equations Bu = f on [0, 1] with possibly large n. Under certain conditions on B, the scheme is of essentially optimal and dimension ind...

We show that the presence of an anomalous UA(1) factor in the gauge group of string-derived models may have the new and important phenomenological consequence of allowing the vanishing of StrM2 in the “shifted” vacuum, that results in the process of cancelling the anomalous UA(1). The feasibility of this effect seems to be enhanced by a vanishing vacuum energy, and by a “small” value of StrM2 i...

We give a partial answer to the effective non-vanishing problem for algebraic surfaces in positive characteristic, and also give counterexamples for the Kawamata-Viehweg vanishing and the logarithmic semipositivity on ruled surfaces in positive characteristic.

We give a partial answer to the effective non-vanishing problem for algebraic surfaces in positive characteristic, and also give counterexamples for the Kawamata-Viehweg vanishing and the logarithmic semipositivity on ruled surfaces in positive characteristic.

We consider regularization of nonlinear ill-posed problems with constraints which are non-convex. As a special case we consider separable constraints, i.e. the regularization takes place in a sequence space and the constraint acts on each sequence element with a possibly non-convex function. We derive conditions under which such a constraint provides a regularization. Moreover, we derive estima...

The problem of the near vanishing of the Gamow-Teller transition (GT ) in the A = 14 system between the lowest J = 0+ T = 1 and J = 1+ T = 0 states is revisited. The model space is extended from the valence space (p−2) to the valence space plus all 2h̄ω excitations. The question is addressed as to what features of the effective nucleon-nucleon interaction in the medium are required to obtain the...