We classify all FMm1,m2,n1,n2 -natural operators A transforming projectable-projectable torsion-free classical linear connections ∇ on fibered-fibered manifolds Y of dimension (m1,m2, n1, n2) into rth order Lagrangians A(∇) on the fibered-fibered linear frame bundle L(Y ) on Y . Moreover, we classify all FMm1,m2,n1,n2 -natural operators B transforming projectable-projectable torsion-free classi...

Shift-invariance \ berization techniques" are applied for the study of the synthesis and analysis operators of a ne (wavelet) systems. In this approach, one has rst to circumvent the fact that a ne systems are not shift-invariant. The results obtained include characterizations of the Bessel property, the Riesz basis property and the frame property of such sets in terms of the behaviour of simpl...

We use microlocal arguments to suggest that Lorentz symmetry breaking must occur in a reasonably behaved tachyonic quantum field theory that permits renormalizability. In view of this, we present a scalar tachyonic quantum field model with manifestly broken Lorentz symmetry and without exponentially growing/decaying modes. A notion of causality, in which anti-telephones are excluded, and which ...

Approximate reasoning in the presence of multiple sources of information requires a mechanism to combine diierent measures representing uncertainty, belief, or desirability into a single aggregate measure that reeects contributions of the individual information sources. This may be achieved by constructing an appropriate combination operator. Speciic combination operators are provided by formal...

in this paper, we determine the structure of the space of multipliers of the range of a composition operator cφ that induces by the conditional expectation between two lp() spaces.

For a wavelet frame with polynomial symbols generated by an MRA with a given approximation order, we present the method for parametric description and construction of all dual analysis operators (filter banks) with the maximum number of vanishing moments whose symbols are polynomials. The similar problems related to the maximum frame approximation order and some other wavelet frame properties a...