Search results for "Global analysis"

Pseudodifferential Analysis on Manifolds with Boundary — a Comparison of b-Calculus and Cone Algebra

2001

We establish a relation between two different approaches to a complete pseudodifferential analysis of totally characteristic or Fuchs type operators on compact manifolds with boundary respectively conical singularities: Melrose’s (overblown) b-calculus and Schulze’s cone algebra. Though quite different in their definition, we show that these two pseudodifferential calculi basically contain the same operators.

An update on nuclear PDFs at the LHeC

2017

The prospects for a measurement of nuclear parton distribution functions (PDFs) at the Large Hadron--Electron Collider are discussed in the light of recent progress made in the front of global analysis of nuclear PDFs.

Complex powers on noncompact manifolds and manifolds with singularities

1988

On the Existence and Structure of Ψ*-Algebras of Totally Characteristic Operators on Compact Manifolds with Boundary

1999

As a contribution to the pseudodifferential analysis on manifolds with singularities we construct for each smooth, compact manifold X with boundary a Ψ*-algebra A(b)∞(X, bΩ1/2)⊆L(ϱbL2(X, bΩ1/2)) containing the algebra Ψ0b, cl(X, bΩ1/2) of totally characteristic pseudodifferential operators introduced by Melrose [25] in 1981 as a dense subalgebra; further, there is a homomorphism τ(b)A: A(b)∞(X, bΩ1/2)→Q(b)Ψ characterizing the Fredholm property of a∈A(b)∞(X, bΩ1/2) by means of the invertibility of τ(b)A(a)∈Q(b)Ψ, where Q(b)Ψ is an algebra of C∞-symbols reflecting the smooth structure of the manifold X. The Fredholm inverses of Fredholm operators in A(b)∞(X, bΩ1/2) are again in the algebra A(…

EPPS16 - First nuclear PDFs to include LHC data

2017

We present results of our recent EPPS16 global analysis of NLO nuclear parton distribution functions (nPDFs). For the first time, dijet and heavy gauge boson production data from LHC proton-lead collisions have been included in a global fit. Especially, the CMS dijets play an important role in constraining the nuclear effects in gluon distributions. With the inclusion of also neutrino-nucleus deeply-inelastic scattering and pion-nucleus Drell-Yan data and a proper treatment of isospin-corrected data, we were able to free the flavor dependence of the valence and sea quark nuclear modifications for the first time. This gives us less biased, yet larger, flavor by flavor uncertainty estimates. …