6533b7d4fe1ef96bd12631b1
RESEARCH PRODUCT
Partial $\ast$-algebras of distributions
Camillo TrapaniFrancesco Tschinkesubject
AlgebraDistribution (number theory)Multiplication operatorHermitian adjointGeneral MathematicsOperator (physics)Rigged Hilbert spaceUnitary operatorCommutative propertySelf-adjoint operatorMathematicsdescription
The problem of multiplying elements of the conjugate dual of certain kind of commutative generalized Hilbert algebras, which are dense in the set of C ∞ -vectors of a self-adjoint operator, is considered in the framework of the so-called duality method. The multiplication is defined by identifying each distribution with a multiplication operator acting on the natural rigged Hilbert space. Certain spaces, that are an
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2005-01-01 | Publications of the Research Institute for Mathematical Sciences |