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math.FA2010★ 9 cited
Multidimensional Tauberian theorems for wavelet and non-wavelet transforms
Stevan Pilipović, Jasson Vindas
We study several Tauberian properties of regularizing transforms of tempered distributions with values in Banach spaces, that is, transforms of the form $M^{\mathbf{f}}_ϕ(x,y)=(\ma…
math.FA2010★ 3 cited
Classes of generalized functions with finite type regularities
Stevan Pilipović, Dimitris Scarpalezos, Jasson Vindas
We introduce and analyze spaces and algebras of generalized functions which correspond to H\" older, Zygmund, and Sobolev spaces of functions. The main scope of the paper is the ch…