Mathematics > Functional Analysis
[Submitted on 21 Dec 2018 (v1), last revised 15 Oct 2019 (this version, v3)]
Title:Harmonic maps and shift-invariant subspaces
View PDFAbstract:We investigate in detail the connection between harmonic maps from Riemann surfaces into the unitary group $\U(n)$ and their Grassmannian models: these are families of shift-invariant subspaces of $L^2(S^1,\C^n)$. With the help of operator-theoretic methods we derive a criterion for finiteness of the uniton number which has a large number of applications discussed in the paper.
Submission history
From: Rui Pacheco [view email][v1] Fri, 21 Dec 2018 21:42:59 UTC (40 KB)
[v2] Fri, 2 Aug 2019 10:26:15 UTC (32 KB)
[v3] Tue, 15 Oct 2019 10:04:31 UTC (33 KB)
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