Sentence examples for spectral set from inspiring English sources

The spectral set conjecture of B. Fuglede states that a set 0 is a spectral set if and only ifΩtilesRnby translation.

Denote by P i the spectral projection associated with F and the spectral set {μ i }.

We prove that a cylindric set Ω is spectral if and only if its base is a spectral set.

We characterise the pairs of commuting operators on Hilbert space for which the domainΓ={(λ1+λ2, λ1λ2): |λ2|⩽1, |λ2|⩽1} is a complete spectral set.

In addition, we prove that the Riesz Dunford spectral subspace corresponding to a spectral set which is only of positive type is uniformly positive.

A bounded set Ω⊂Rd is called a spectral set if the space L2 admits a complete orthogonal system of exponential functions.

That two-level space will be transformed into the play's spectral setting by the designers Eugene Lee and Jennifer Tipton.

Applications concern injection type properties, unions of weak spectral sets and projective tensor products.

We study tiling and spectral sets in vector spaces over prime fields.

Generalizing the notion of spectral sets in Δ(A), the considerably larger class of weak spectral sets was introduced and studied in [C.R. Warner, Weak spectral synthesis, Proc. Amer. Math. Soc. 99 (1987) 244 248].

We also characterize spectral sets in Z/pnZ (p≥2 prime, n≥1 integer) by tiling property and also by homogeneity.