On conditional expectations in $$L^p(\mu ;L^q(\nu ;X))$$ L p ( μ ; L q ( ν ; X ) )

Threshold Resummation in B → X c l ν l Decays

We compute the QCD form factor resumming threshold logarithms in B → Xc+ l+νl decays to next-to-leading logarithmic approximation. We present an interpolation formula including soft as well as collinear effects softened by the non-vanishing charm mass which, in the N -space, reads: σN = exp ∫ 1 0 dy [

Weak Sequential Convergence in L , ( p , X )

We provide some new results on the weak convergence of sequences or nets lying in L,((T, & r), X) = L,(p, X), 1 <p < co, i.e., the space of equivalence classes of X-valued (X is a Banach space) Bochner integrable functions on the finite measure space ( r, z, I”). Our theorems generalize in several directions recent resuls on weak sequential convergence in L,(p, X) obtained by M. A. Khan and M. ...

Reweighting of the form factors in exclusive B → X l ν l decays

A form factor reweighting technique has been elaborated to permit relatively easy comparisons between different form factor models applied to exclusive B → Xℓν ℓ decays. The software tool developped for this purpose is described. It can be used with any event generator, three of which were used in this work: ISGW2, PHSP and FLATQ2, a new powerful generator. The software tool allows an easy and ...

On Polynomials of the Form xrf(x(q-1)/l)

Let p be prime and q = pm. A polynomial is a permutation polynomial (PP) of Fq if it induces a bijective map from Fq to Fq. In recent years, there has been a lot of interests in studying permutation polynomials, partly due to their applications in coding theory, combinatorics, and cryptography. For more background material on permutation polynomials we refer to [1, Chapter 7]. For a detailed su...

Distinct X p l 1 . 2