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In this paper we define an order structure on the $p$-operator projective tensor product of Herz algebras and we show that the canonical isometric isomorphism between $A_p(Gtimes H)$ and $A_p(G)widehat{otimes}^p A_p(H)$ is an order isomorphism for amenable groups $G$ and $H$.

In  this paper we define the $p$-analog of the restericted reperesentations and also the $p$-analog of the Fourier--Stieltjes algebras on the inverse semigroups . We improve some results about Herz algebras on Clifford semigroups. At the end of this paper we give the necessary and sufficient condition for amenability of these algebras on Clifford semigroups.

From the *Center of Vascular Medicine, Heart Center Leipzig/Park Hospital, Leipzig, Germany; yCenter for Diagnostic Radiology and Minimally Invasive Therapy, Jewish Hospital, Berlin, Germany; zDepartment of Interventional Angiology, Herz-Zentrum, Bad Krozingen, Germany; xCardiovascular Center, Hamburg University Cardiovascular Center, Hamburg, Germany; kClinic for Radiology and Nuclear Medicine...

Abstract. A case of the matrix Kummer relation of Herz (1955) based on the Pearson VII type matrix model is derived in this paper. As a con- sequence, the polynomial Pearson VII configuration density is obtained and this sets the corresponding exact inference as a solvable aspect in shape theory. An application in postcode recognition, including a nu- merical comparison between the exact poly...