Harmonic maps and shift-invariant subspaces
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 $${{\,\mathrm{U}\,}}(n)$$. These use the Grassmannian model where harmonic maps are represented by families of...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Aleman, Alexandru [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2021 |
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| Schlagwörter: |
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| Systematik: |
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| Anmerkung: |
© The Author(s), under exclusive licence to Springer-Verlag GmbH, AT part of Springer Nature 2021 |
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| Übergeordnetes Werk: |
Enthalten in: Monatshefte für Mathematik - Springer Vienna, 1948, 194(2021), 4 vom: 29. Jan., Seite 625-656 |
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| Übergeordnetes Werk: |
volume:194 ; year:2021 ; number:4 ; day:29 ; month:01 ; pages:625-656 |
| Links: |
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| DOI / URN: |
10.1007/s00605-021-01516-w |
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| Katalog-ID: |
OLC2124275658 |
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| 520 | |a 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 $${{\,\mathrm{U}\,}}(n)$$. These use the Grassmannian model where harmonic maps are represented by families of shift-invariant subspaces of $$L^2(S^1,{{\mathbb {C}}}^n)$$; we give a new description of that model. | ||
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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 $${{\,\mathrm{U}\,}}(n)$$. These use the Grassmannian model where harmonic maps are represented by families of shift-invariant subspaces of $$L^2(S^1,{{\mathbb {C}}}^n)$$; we give a new description of that model. © The Author(s), under exclusive licence to Springer-Verlag GmbH, AT part of Springer Nature 2021 |
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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 $${{\,\mathrm{U}\,}}(n)$$. These use the Grassmannian model where harmonic maps are represented by families of shift-invariant subspaces of $$L^2(S^1,{{\mathbb {C}}}^n)$$; we give a new description of that model. © The Author(s), under exclusive licence to Springer-Verlag GmbH, AT part of Springer Nature 2021 |
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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 $${{\,\mathrm{U}\,}}(n)$$. These use the Grassmannian model where harmonic maps are represented by families of shift-invariant subspaces of $$L^2(S^1,{{\mathbb {C}}}^n)$$; we give a new description of that model. © The Author(s), under exclusive licence to Springer-Verlag GmbH, AT part of Springer Nature 2021 |
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