Partial *-algebras of distributions

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Abstract

The problem of multiplying elements of the conjugate dual of certain kind of commutative generalizedHilbert algebras, which are dense in the set of analytic vectorsof a self-adjoint operator is considered, in the framework of theso-called duality method. The multiplication is defined byidentifying each distribution with a multiplication operatoracting on the natural rigged Hilbert space. Certain spaces, that are an abstractversion of the Bessel potential spaces, are used to factorize theproduct.
Lingua originaleEnglish
pagine (da-a)259-279
RivistaPublications of the Research Institute for Mathematical Sciences
Volume41
Stato di pubblicazionePublished - 2005

All Science Journal Classification (ASJC) codes

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