TAUBERIAN TRANSLATION ALGEBRAS.
MARYLAND UNIV COLLEGE PARK INST FOR FLUID DYNAMICS AND APPLIED MATHEMATICS
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In this paper the author extends the translation of convolution property of L1 that is, tau fg tau ftau 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 Weiners theorem on the inversion of absolutely convergent Fourier series.
- Theoretical Mathematics