We investigate quantum corrections to the moduli space for hypermultiplets for type IIA near a conifold singularity. We find a unique quantum deformation based on symmetry arguments which is consistent with a recent conjecture. The correction can be interpreted as an infinite sum coming from multiple wrappings of the Euclidean D-branes around the vanishing cycle.

A partition of unity (POU) is a discrete set of usually overlapping windows that sum exactly to one for a finite interval on the real line. Multiplying a signal by the POU decomposes it into a set of temporally localized signals or Gabor slices. Applying any stationary operator to these slices and allowing the operator to depend upon the slice defines a nonstationary operator. We apply a statio...

We give conditions that ensure an operator satisfying a Piestch domination in given setting also satisfies different setting. From this we derive bounded multilinear T T </mml:semant...

The problem of summing a set of mutual recurrence relations with constant coefficients is investigated. A method is presented for summing an order d system of the form A(n) = ∑d i=1 MiA(n − i) + G(n), where A,G : N → K and M1, . . . ,Md ∈ Mm(K) for some field K and natural number m. The procedure expresses the sum ∑n i=0 A(i) in terms of A(n), . . . , A(n− d), initial conditions and sums of the...