We denote by T 2 the torus: z = exp iθ, w = exp iφ, and we fix a positive irrational number α. Aα denotes the space of continuous functions f on T 2 whose Fourier coefficient sequence is supported by the lattice half-plane n + mα ≥ 0. R. Arens and I. Singer introduced and studied the space Aα, and it turned out to be an interesting generalization of the disk algebra. Here we construct a differe...

REFERENCES 1. Council Directive 80/778/EEC [European Economic Community] concerning the quality of drinking water intended for human consumption. July 15,1980. 2. Martin MV. The significance of the bacterial contamination of dental unit water systems. Br Dent J 1987;163:152-154. 3. Williams JF, Huntington MK, Johnston AM. Dental waterlines. A source of contamination. Infection Control and Steri...

Let K be a locally compact p-adic field, g a split reductive Lie algebra over K and U(g) its universal enveloping algebra. We investigate the category Cg of coadmissible modules over the p-adic Arens-Michael envelope Û(g) of U(g). Let p ⊆ g be a parabolic subalgebra. The main result gives a canonical equivalence between the classical parabolic BGG category of g relative to p and a certain expli...