Dixmier trace formulas and negative eigenvalues of Schrödinger operators on curved noncommutative tori

  title={Dixmier trace formulas and negative eigenvalues of Schr{\"o}dinger operators on curved noncommutative tori},
  author={Edward Mcdonald and Raphael Ponge},
  journal={Advances in Mathematics},

Noncommutative Wiener–Wintner type ergodic theorems

. In this article, we obtain a version of the noncommutative Banach Principle suitable to prove Wiener-Wintner type results for weights in W 1 space. This is used to obtain noncommutative

Connes' integration and Weyl's laws

This paper deal with some questions regarding the notion of integral in the framework of Connes’s noncommutative geometry. First, we present a purely spectral theoretic construction of Connes’



The spectrum of singular boundary problems

A poultry drinking cup having a cup body with an input opening for engagement with a water feed line. Valve means control the flow of water through the input opening into the cup body and the cup is

Existence de traces non normales

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Introduction to Noncommutative Analysis and Integration. Lectures at CIMPA School Noncommutative Geometry and Applications to Quantum Physics

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Ribosomes from genetic negatives are suspended in an extract containing large amounts of active e-galactosidase and washed three times prior to being lay-ity of ribosome from genetic positives and ered on the sucrose gradient.

Noncommutative Geometry

Noncommutative Spaces It was noticed a long time ago that various properties of sets of points can be restated in terms of properties of certain commutative rings of functions over those sets. In

K-theory, arithmetic and geometry (Moscow

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Cwikel estimates and negative eigenvalues of Schrödinger operators on noncommutative tori

In this paper, we establish Cwikel-type estimates for noncommutative tori for any dimension n ≥ 2. We use them to derive Cwikel–Lieb–Rozenblum inequalities and Lieb–Thirring inequalities for negative