Sentence examples for a regular representation from inspiring English sources

The model uses a regular representation of the materials' microstructure and a simplified categorisation of grain boundaries as either resistant or susceptible to environment assisted cracking.

These target range maps are derived from the temporal delay between emitted call and returning echo and constitute a regular representation of time (chronotopy).

The model is based on a regular representation of material microstructure and a categorisation of grain boundaries as susceptible and resistant to corrosion.

The subcategory R ′ consists of all regular representations with no indecomposable direct summand in T ∞, or equivalently, it is the full subcategory of all representations M such that M α is bijective.

As an application we give necessary and sufficient conditions in order that (A, P) is isomorphic to (Oλ(G), Σ) with λ the regular representation of a compact and metrizable group G and Σ the set of endomorphisms induced by an irreducible decomposition of λ.

This completely generalizes a well-known result which states that every frame representation of a countable group on a Hilbert space is unitarily equivalent to a subrepresentation of the left regular representation of the group.

First of all, the interest is focused on the full (C^* -algebra (C^* -algebraon the reduC^* (C^*)-alGebrand(C_r^*(G)) generated by the left (on, whathes essentially the same, reducedregular representation of a group.

A Cayley graph X = C a y(G,S) is called normal for G if the right regular representation of G is a normal subgroup of the automorphism group of X (see[1]).

We prove a theorem of Dixmier and Malliavin type for analytic vectors of bounded representations of (R,+): Let (π,E) be a bounded representation of (R,+) in a Banach space E and let A be the convolution algebra of analytic vectors for the left regular representation of R on L1(R), then A∗A="A and π(A E="Eω.

LetGbe a non-compact locally compact group,λits regular representation onH=L2 G), and OHendowed with the actionΛ∘λofG; we prove thatGisσ-amenable iff there are ireducible covariant representations in S.

Absolutely continuous functionals are intimately related to maps which intertwine a given *-extendible representation with the left regular representation.