The Briançon-Skoda theorem can be seen as an effective version of the Hilbert Nullstellensatz and gives a connection between size conditions on holomorphic functions and ideal membership. The size conditions are captured algebraically by the notion of integral closure of ideals. Many techniques have been applied to prove the Briançon-Skoda theorem and variations of it. The first proof by Brianç...

We use Malliavin operators in order to prove quantitative stable limit theorems on the Wiener space, where the target distribution is given by a possibly multidimensional mixture of Gaussian distributions. Our findings refine and generalize previous works by Nourdin and Nualart [J. Theoret. Probab. 23 (2010) 39–64] and Harnett and Nualart [Stochastic Process. Appl. 122 (2012) 3460–3505], and pr...

In this paper we construct a noncommutative residue for the Heisenberg calculus, that is, for the hypoelliptic calculus on Heisenberg man-ifolds, including on CR and contact manifolds. This noncommutative residue as the residual induced on operators of integer orders by the analytic extension of the usual trace to operators of non-integer orders and it agrees with the integral of the density de...

For manifolds with boundary, we define an extension of Wodzicki’s noncommutative residue to boundary value problems in Boutet de Monvel’s calculus. We show that this residue can be recovered with the help of heat kernel expansions and explore its relation to Dixmier’s trace.

Abstract Grothendieck polynomials were introduced by Lascoux and Schützenberger play an important role in K-theoretic Schubert calculus. In this paper, we give a new definition of double stable based on iterated residue operation. We illustrate the power our calculating expansion Thom ${\mathcal {A}}_{2}$ singularities. present two versions: one displays its stabilization property, while other ...

in this study, residues of imidacloprid (confidor) were measured in greenhouse cucumbers in mazandaran province, iran. confidor 200 sl was applied at the recommended rate (30.0 g ai ha-1) and its double (60.0 g ai ha-1). samples were collected at 1 h to 21 days after application and analyzed to determine the content and dissipation rate of imidacloprid. . analysis was carried out by the quecher...

local information about tillage intensity and ground residue coverage is useful for policies in agricultural extension, tillage implement design and upgrading management methods. the current methods for assessing crop residue coverage and tillage intensity such as residue weighing methods, line-transect and photo comparison methods are tedious and time-consuming. the present study was devoted t...