Tom Potter

collaborators

2 papers

math.FA2026

Subspaces of $L^{2} (R^{n})$ Invariant Under Shifts by a Crystal Group

Tom Potter, Keith Taylor

For a crystal group $I^$ in dimension $n$ , a closed subspace $V$ of $L^{2} (R^{n})$ is called $I^$ --shift invariant if, for every $f \in V$ , the shifts of $f$ …

math.FA2026

Subspaces of $L^{2} (R^{n})$ Invariant Under Crystallographic Shifts

Tom Potter

In this thesis we consider crystal groups in dimension $n$ and their natural unitary representation on $L^{2} (R^{n})$ . We show that this representation is unitarily equivalent…

Subspaces of L2(Rn) Invariant Under Shifts by a Crystal Group

Subspaces of L2(Rn) Invariant Under Crystallographic Shifts

Subspaces of $L^{2} (R^{n})$ Invariant Under Shifts by a Crystal Group

Subspaces of $L^{2} (R^{n})$ Invariant Under Crystallographic Shifts