Colombeau Algebras and convolutions generated by self-adjoint operators
- Authors: Francesco Tschinke
- Publication year: 2017
- Type: Capitolo o Saggio (Capitolo o saggio)
- OA Link: http://hdl.handle.net/10447/331637
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