arXiv subjects

Yoav Benyamini

Publications and source records attributed to Yoav Benyamini.

2 recordsLinked to original sources

arXiv1995

Wiener's Tauberian theorem in L^1(G//K) and harmonic functions in the unit disk

Our main result is to give necessary and sufficient conditions, in terms of Fourier transforms, on a closed ideal $I$ in $\loneg$, the space of radial integrable functions on $G=SU(1,1)$, so that $I=\loneg$ or $I=\lonez$---the ideal of $\loneg$ functions whose integral is zero. This is then used to prove a generalization of Furstenberg's theorem which characterizes harmonic functions on the unit disk by a mean value property and a ``two circles" Morera type theorem (earlier announced by Agranovski\uı).

math.CA↗

arXiv1994

The Uniform Classification of Banach Spaces

This is a survey of results on the classification of Banach spaces as metric spaces. It is based on a series of lectures I gave at the Functional Analysis Seminar in 1984-1985, and it appeared in the 1984-1985 issue of the Longhorn Notes. I keep receiving requests for copies, because some of the material here does not appear elsewhere and because the Longhorn Notes are not so easy to get. Having it posted on the Bulletin thus seems reasonable despite the fact that it is not updated, and I thank the Editors of the Longhorn Notes for their permission to do so.

math.FA↗