Harmonic analysis on compact hypergroups

Arveson Spectrum On Locally Compact Hypergroups

In this paper we study the concept of Arveson spectrum on locally compact hypergroups and for an important class of compact countable hypergroups . In thiis paper we study the concept of Arveson spectrum on locally compact hypergroups and develop its basic properties for an important class of compact countable hypergroups .

Some Multipliers Results on Compact Hypergroups

A hypergroup is roughly speaking a locally compact Hausdorff space which has enough structure so that a convolution on the corresponding vector space of Radon measures makes it a Banach algebra. Hypergroups generalize in many ways topological groups. In this paper we extend to compact not necessarily commutative hypergroups some basic techniques on multipliers set forth for compact groups in He...

?-Independent and Dissociate Sets on Compact Commutative Strong Hypergroups

In this paper we define ?-independent (a weak-version of independence), Kronecker and dissociate sets on hypergroups and study their properties and relationships among them and some other thin sets such as independent and Sidon sets. These sets have the lacunarity or thinness property and are very useful indeed. For example Varopoulos used the Kronecker sets to prove the Malliavin theorem. In t...

P-Amenable Locally Compact Hypergroups

2. Harmonic Analysis on Compact Groups

These notes recall some general facts about Fourier analysis on a compact group K. They will be applied eventually to compact Lie groups, particularly to the maximal compact subgroups of real reductive Lie groups. But much of the early material makes no use of the Lie group structure, so I’ll work without it for as long as possible. Thanks to Ben Harris (2007) for correcting a number of slips o...