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Necessary conditions for variational regularization schemes
Variational regularization Tikhonov regularization necessary conditions general discrepancy term Bregman distances
2012/4/18
We study variational regularization methods in a general framework, more precisely those methods that use a discrepancy and a regularization functional. While several sets of sufficient conditions are...
Geometric regularization on Riemannian and Lorentzian manifolds
Regularization of distributions complete Riemannian manifolds globally hyperbolic Lorentz manifolds algebras of generalized functions
2011/8/22
Abstract: We investigate regularizations of distributional sections of vector bundles by means of nets of smooth sections that preserve the main regularity properties of the original distributions (si...