Hypergroups and their convolution algebras of multilinear forms

Seminar
Speaker
Prof. Bert Schreiber, Wayne State University, Detroit, USA
Date
02/06/2014 - 14:00Add to Calendar 2014-06-02 14:00:00 2014-06-02 14:00:00 Hypergroups and their convolution algebras of multilinear forms We will begin by introducing the notion of hypergroup, give some examples,  and describe the convolution of measures on a hypergroup. After a review of  some basic operator space theory, we shall describe how to extend the notion  of convolution to the space of completely bounded multilinear forms on a cartesian  product of spaces of continuous functions on hypergroups, thus making that space  into a Banach algebra. When the hypergroups are commutative, we introduce and study  a notion of Fourier transform in this setting. אוניברסיטת בר-אילן - המחלקה למתמטיקה mathoffice@math.biu.ac.il Asia/Jerusalem public
Abstract

We will begin by introducing the notion of hypergroup, give some examples, 
and describe the convolution of measures on a hypergroup. After a review of 
some basic operator space theory, we shall describe how to extend the notion 
of convolution to the space of completely bounded multilinear forms on a cartesian 
product of spaces of continuous functions on hypergroups, thus making that space 
into a Banach algebra. When the hypergroups are commutative, we introduce and study 
a notion of Fourier transform in this setting.

תאריך עדכון אחרון : 26/05/2014