The role of convolution of functions in the construction of Colombeau algebras of generalized functions is analyzed, with particular referring to the commutative relation with the derivation operator. The possibility to consider the A-convolution, with A an unbounded self-adjoint operator in Hilbert space, is discussed. K
Francesco Tschinke (2017). Colombeau Algebras and convolutions generated by self-adjoint operators. In M.S. Mongiovì, M. Sciacca, S. Triolo (a cura di), Bollettino di Matematica Pura ed Applicata, Volume IX (pp. 83-90). Aracne Editrice.
Colombeau Algebras and convolutions generated by self-adjoint operators
Francesco Tschinke
2017-01-01
Abstract
The role of convolution of functions in the construction of Colombeau algebras of generalized functions is analyzed, with particular referring to the commutative relation with the derivation operator. The possibility to consider the A-convolution, with A an unbounded self-adjoint operator in Hilbert space, is discussed. K
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