Le K be a (commutative) locally compact hypergroup with a left Haar measure. Let L1(K) be the hypergroup algebra of K and UCl(K) be the Banach space of bounded left uniformly continuous complex- valued functions on K. In this paper we show, amoung...

Abstract. Let K be a locally compact hypergroup with left Haar

measure and let P1

(K) = {f ∈ L1

(K) : f ≥ 0, kfk1 = 1 }. Then

P1

(K) is a topological semigroup under the convolution product of

L1...

We define the continuous wavelet transform for locally compact commutative hypergroups using the representation theory of locally compact commutative hypergroup and theory of coherent state systems for a suitable defined coherent state system....

We define the continuous wavelet transform for locally compact commutative hypergroups using the representation theory of locally compact commutative hypegroup and theory of coherent state systems for a suitable defined coherent state system...