most citedTempered Generalized Functions and Hermite Expansions

1 citations · 1 across the 2 of their papers we have counts for

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2 papers

math.FA2012

Renormalized-Generalized Solutions for the KPZ Equation

P. Catuogno, C. Olivera

This work introduces a new notion of solution for the KPZ equation, in particular, our approach encompasses the Cole-Hopf solution. We set in the context of the distribution theory…

math.FA2010★ 1 cited

Tempered Generalized Functions and Hermite Expansions

P. Catuogno, C. Olivera

In this work we introduce a new algebra of tempered generalized functions. The tempered distributions are embedded in this algebra via their Hermite expansions. The Fourier transfo…