Spectral Metric Spaces on Extensions of C*-Algebras [PDF]
, 2016 We construct spectral triples on C*-algebraic extensions of unital C*-algebras by stable ideals satisfying a certain Toeplitz type property using given spectral triples on the quotient and ideal.
Hawkins, Andrew, Zacharias, Joachim
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Multiresolution expansions of distributions : pointwise convergence and quasiasymptotic behavior [PDF]
, 2015 In several variables, we prove the pointwise convergence of multiresolution expansions to the distributional point values of tempered distributions and distributions of superexponential growth. The article extends and improves earlier results by G.
Kostadinova, Sanja, Vindas Diaz, Jasson
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Ultrafunctions and Applications [PDF]
, 2014 This paper deals with a new kind of generalized functions, called "ultrafunctions" which have been introduced recently and developed in some previous works.
Baglini, Lorenzo Luperi, Benci, Vieri
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, 1997 We investigate a new class of entangled states, which we call 'hyperentangled',that have EPR correlations identical to those in the vacuum state of a relativistic quantum field.
A. Einstein +28 more
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Analytic Regularity and GPC Approximation for Control Problems Constrained by Linear Parametric Elliptic and Parabolic PDEs [PDF]
, 2013 This paper deals with linear-quadratic optimal control problems constrained by a parametric or stochastic elliptic or parabolic PDE. We address the (difficult) case that the state equation depends on a countable number of parameters i.e., on $\sigma_j ...
Kunoth, Angela, Schwab, Christoph
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Spectral triples and associated Connes-de Rham complex for the quantum SU(2) and the quantum sphere [PDF]
, 2002 We construct spectral triples for the C^*-algebra of continuous functions on the quantum SU(2) group and the quantum sphere. There has been various approaches towards building a calculus on quantum spaces, but there seems to be very few instances of ...
Arupkumar Pal +11 more
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On Parseval frames of exponentially decaying composite Wannier functions
, 2017 Let $L$ be a periodic self-adjoint linear elliptic operator in $\R^n$ with coefficients periodic with respect to a lattice $\G$, e.g. Schr\"{o}dinger operator $(i^{-1}\partial/\partial_x-A(x))^2+V(x)$ with periodic magnetic and electric potentials $A,V$,
Auckly, David, Kuchment, Peter
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Central limit theorem for exponentially quasi-local statistics of spin models on Cayley graphs
, 2018 Central limit theorems for linear statistics of lattice random fields (including spin models) are usually proven under suitable mixing conditions or quasi-associativity.
Reddy, Tulasi Ram +2 more
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Direct sums and products in topological groups and vector spaces
, 2015 We call a subset $A$ of an abelian topological group $G$: (i) $absolutely$ $Cauchy$ $summable$ provided that for every open neighbourhood $U$ of $0$ one can find a finite set $F\subseteq A$ such that the subgroup generated by $A\setminus F$ is contained ...
Dikranjan, Dikran +2 more
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From refined estimates for spherical harmonics to a sharp multiplier theorem on the Grushin sphere [PDF]
, 2019 We prove a sharp multiplier theorem of Mihlin-H\"ormander type for the Grushin operator on the unit sphere in $\mathbb{R}^3$, and a corresponding boundedness result for the associated Bochner-Riesz means.
Casarino, Valentina +2 more
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