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Blockwise SVD with error in the operator and application to blind deconvolution
Blind deconvolution blockwise SVD circular and spherical deconvolution nonparametric adaptive estimation
2012/4/16
We consider linear inverse problems in a nonparametric statistical framework. Both the signal and the operator are unknown and subject to error measurements. We establish minimax rates of convergence ...
The Integrated Density of States for the Wilson Dirac Operator
Integrated Density of States Wilson Dirac Operator
2010/12/3
It is shown that gauge field-dependent fermion Dirac operators from lattice QCD form an ergodic operator family in the probabilistic sense, provided the gauge field is an ergodic random field. As a co...
Two-dimensional Sunouchi Operator with respect to Vilenkin-like Systems
Sunouchi operator Vilenkin-like systems
2010/1/22
In this paper two-dimensional Vilenkin-like systems will be investigated. We prove the Sunouchi operator is bounded from to for . As a consequence, we prove the Sunouchi operator is bounded for an...