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Harmonic maps and shift-invariant subspaces

Aleman, Alexandru LU ; Pacheco, Rui and Wood, John C. (2021) In Monatshefte fur Mathematik 194(4). p.625-656
Abstract

With the help of operator-theoretic methods, we derive new and powerful criteria for finiteness of the uniton number for a harmonic map from a Riemann surface to the unitary group U(n). These use the Grassmannian model where harmonic maps are represented by families of shift-invariant subspaces of L2(S1, Cn) ; we give a new description of that model.

Please use this url to cite or link to this publication:
author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Harmonic maps, Riemann surfaces, Shift-invariant subspaces
in
Monatshefte fur Mathematik
volume
194
issue
4
pages
625 - 656
publisher
Springer
external identifiers
  • scopus:85099961243
ISSN
0026-9255
DOI
10.1007/s00605-021-01516-w
language
English
LU publication?
yes
id
336dd2af-1736-484e-9c26-411e92dbbc11
date added to LUP
2021-02-08 12:53:18
date last changed
2022-04-27 00:06:37
@article{336dd2af-1736-484e-9c26-411e92dbbc11,
  abstract     = {{<p>With the help of operator-theoretic methods, we derive new and powerful criteria for finiteness of the uniton number for a harmonic map from a Riemann surface to the unitary group U(n). These use the Grassmannian model where harmonic maps are represented by families of shift-invariant subspaces of L<sup>2</sup>(S<sup>1</sup>, C<sup>n</sup>) ; we give a new description of that model.</p>}},
  author       = {{Aleman, Alexandru and Pacheco, Rui and Wood, John C.}},
  issn         = {{0026-9255}},
  keywords     = {{Harmonic maps; Riemann surfaces; Shift-invariant subspaces}},
  language     = {{eng}},
  month        = {{01}},
  number       = {{4}},
  pages        = {{625--656}},
  publisher    = {{Springer}},
  series       = {{Monatshefte fur Mathematik}},
  title        = {{Harmonic maps and shift-invariant subspaces}},
  url          = {{http://dx.doi.org/10.1007/s00605-021-01516-w}},
  doi          = {{10.1007/s00605-021-01516-w}},
  volume       = {{194}},
  year         = {{2021}},
}