TAUBERIAN TRANSLATION ALGEBRAS.
Abstract
In this paper the author extends the translation of convolution property of L(1) (that is, tau (f*g) = tau f*tau g) to more general topological algebras, and determine conditions under which the closure of the set of translates of an element is the whole algebra. Applications of this procedure to algebras of distributions and for approximating elements of an algebra by differential polynomials (of a given element) serve as motivation for such a generalization; along with the observation of the importance in proving Tauberian results of Weiner's theorem on the inversion of absolutely convergent Fourier series.
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 1966
- Accession Number
- AD0640751
Entities
People
- John Benedetto
Organizations
- University of Maryland