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math.FA2011★ 4 cited
Summable families in tempered distribution spaces
David Carfí
In this note we define summable families in tempered distribution spaces and we state some their properties and characterizations. Summable families are the analogous of summable s…
math.FA2011★ 3 cited
Schwartz Linear operators in distribution spaces
David Carfí
In this paper we define the Schwartz linear operators among spaces of tempered distributions. These operators are the analogous of linear continuous operators among separable Hilbe…
math.FA2011★ 4 cited
S-Bases in S-Linear Algebra
David Carfí
In this paper we define the S-bases for the spaces of tempered distributions. These new bases are the analogous of Hilbert bases of separable Hilbert spaces for the continuous case…