Sentence examples for unitary representation from inspiring English sources

Letπbe an irreducible unitary representation ofG, and letπ∣1 be the restriction ofπtoΓ.

Let π be a unitary representation of a Lie group G.

In fact, every irreducible unitary representation of (mathbb {R}^{n}) reads ((mathbb {C}, T_{p})) where p is a vector.

end{aligned} It can be shown that (pi_{lambda,sigma}) restricted to (H K,sigma)) is an irreducible unitary representation of (M n)).

But examples of the type (C^*_rho (G)) of algebras generated by a unitary representation (rho ) of G are also interesting.

Moreover, any irreducible unitary representation of (M n)) which is infinite dimensional is unitarily equivalent to one and only one (pi _{lambda,sigma}).

The limit (R'(g)) is independent of the sequence and defines a unitary representation (R':,mathrm {Mp} rightarrow mathrm {U} ({fancyscript{A}}_V)).

Many of the selection theorems needed in unitary representation theory are shown to be consequences of the general result in this paper.

As applications we obtain some sufficient conditions under which a unitary representation admits a Parseval frame which is spanned by a Riesz sequences generated by a subgroup.

This implementation is based, in part, on a finite difference approximation △FDA⊥ of 1r∂∂rr∂∂r that possesses an associated exact unitary representation of ei2λ△FDA⊥.

Let π be an irreducible unitary representation in the semistable range of θ MG1,MG2) (see Communications in Contemporary Mathematics, Vol. 2, 2000, pp. 255 283).