6533b7dbfe1ef96bd1270f73

RESEARCH PRODUCT

Colombeau Algebras and convolutions generated by self-adjoint operators

Francesco Tschinke

subject

Settore MAT/05 - Analisi MatematicaColombeau Algebras unbounded operator

description

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

http://hdl.handle.net/10447/331637