Recall that a map F: D/X X on a Banach space (X, & }&) is called ``nonexpansive'' if &F(a)&F(b)& &a&b& for all a, b # D. Here we shall be interested in X=l1(Z), the Banach space of biinfinite absolutely summable real sequences (an | n # Z) , with &a&1 := n # Z |an |. As usual, l1 (Z)= [a # l1(Z) : an 0 \n # Z], and we shall be interested in nonexpansive maps F: l1 (Z) l + 1 (Z). Our maps will a...

Let {pn(z)}n=0 be a sequence of complex polynomials (pn of degree n) that are orthonormal with respect to the area measure over the interior domain of an analytic Jordan curve. We prove that each pn of sufficiently large degree has a primitive that can be expanded in a series of functions recursively generated by a couple of integral transforms whose kernels are defined in terms of the degree n...

A reduction of Benney's equations is constructed corresponding to Schwartz-Christoffel maps associated with a family of genus six cyclic tetragonal curves. The mapping function, a second kind Abelian integral on the associated Riemann surface, is constructed explicitly as a rational expression in derivatives of the Kleinian σ-function of the curve.

This paper proves that the functor C(∗) that sends pointed, simply-connected CW-complexes to their chain-complexes equipped with diagonals and iterated higher diagonals, determines their integral homotopy type — even inducing an equivalence of categories between the category of CW-complexes up to homotopy equivalence and a certain category of chain-complexes equipped with higher diagonals. Cons...

In this paper, the boundary-based estimation of pressure distribution in the cardiovascular system is investigated using two dimensional flow images. The conventional methods of non-invasive estimation of pressure distribution in the cardiovascular flow domain use the differential form of governing equations. This study evaluates the advantages of using the integral form of the equations in the...

Abstract The classifying map of the integral Krichever–Hoehn formal group law is presented as a quotient Lazard ring by some explicit ideal.

I present a new class of topological string theories, and discuss them in two dimensions as candidates for the string description of large-N QCD. The starting point is a new class of topological sigma models, whose path integral is localized to the moduli space of harmonic maps from the worldsheet to the target. The Lagrangian is of fourth order in worldsheet derivatives. After gauging worldshe...