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math.FA2022★ 3 cited
Bounded variation spaces with generalized Orlicz growth related to image denoising
Michela Eleuteri, Petteri Harjulehto, Peter Hästö
Motivated by the image denoising problem and the undesirable stair-casing effect of the total variation method, we introduce bounded variation spaces with generalized Orlicz growth…
math.FA2007
Reparametrization invariant norms
Patrizio Frosini, Claudia Landi
This paper explores the concept of reparametrization invariant norm (RPI-norm), that is any norm invariant under composition with diffeomorphisms. We prove the existence of an infi…
math.FA2005★ 7 cited
Reproducing kernel Hilbert spaces and Mercer theorem
Claudio Carmeli, Ernesto De Vito, Alessandro Toigo
We characterize the reproducing kernel Hilbert spaces whose elements are -integrable functions in terms of the boundedness of the integral operator whose kernel is the reproduci…