6533b82dfe1ef96bd129152b

RESEARCH PRODUCT

Quasi *-Algebras and Multiplication of Distributions

Agnese RussoCamillo Trapani

subject

Multiplication operatorApplied MathematicsMathematical analysisMultiplicationRigged Hilbert spaceSpace (mathematics)AnalysisMathematics

description

AbstractA self-adjoint operatorAinL2(Ω,μ) defines in a natural way a space of test functions SA(Ω) and a corresponding space of distributions S′A(Ω). These are considered as quasi *-algebras and the problem of multiplying distributions is studied in terms of multiplication operators defined on a rigged Hilbert space.

10.1006/jmaa.1997.5643http://dx.doi.org/10.1006/jmaa.1997.5643