Codes and Expansions (CodEx) Seminar

Efstratios Tsoukanis (University of Maryland):
Coorbit Invariant Embeddings

Consider a real vector space \(\mathcal{V}\) and a finite group \(G\) acting unitary on \(\mathcal{V}\). We study the general problem of constructing a stable embedding, whose domain is the quotient of the vector space modulo the group action, and whose target space is an Euclidean space. The embedding scheme we propose is based on taking a fixed subset out of sorted orbit \(\downarrow \langle{U_gw_i},{x}\rangle _{g \in G}\), where \(w_{i}\) are appropriate vectors. Finally , we show that for that injectivity on quotient space implies stability.