This article develops a novel approach to the representation of singular integral operators Calderón–Zygmund type in terms continuous model operators, both classical and bi-parametric setting. The is realized as finite sum averages wavelet projections either cancellative or noncancellative type, which are themselves operators. Both properties out reach for established dyadic-probabilistic techn...

The methods of integral operators on the cohomology of Hilbert schemes of points on surfaces are developed. They are used to establish integral bases for the cohomology groups of Hilbert schemes of points on a class of surfaces (and conjecturally, for all simply connected surfaces).