16 citations · 46 across the 30 of their papers we have counts for
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math.FA2010
Time Dependent Tempered Generalized Functions and Ito's Formula
P. Catuogno, C. Olivera
The paper introduces a novel Ito's formula for time dependent tempered generalized functions. As an application, we study the heat equation when initial conditions are allowed to b…
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…
math.FA2010
On Stochastic generalized functions
Pedro Catuogno, Christian Olivera
We introduced a new algebra of stochastic generalized functions which contains to the space of stochastic distributions G, [25]. As an application, we prove existence and uniquenes…