Classification of Traces and Associated Determinants on Odd-Class Operators in Odd Dimensions
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Classification of Traces and Associated Determinants on Odd-Class Operators in Odd Dimensions
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| Creator |
Neira Jimenez, Carolina
Ouedraogo, Marie-Françoise |
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| Description |
To supplement the already known classification of traces on classical pseudodifferential operators, we present a classification of traces on the algebras of odd-class pseudodifferential operators of non-positive order acting on smooth functions on a closed odd-dimensional manifold. By means of the one to one correspondence between continuous traces on Lie algebras and determinants on the associated regular Lie groups, we give a classification of determinants on the group associated to the algebra of odd-class pseudodifferential operators with fixed non-positive order. At the end we discuss two possible ways to extend the definition of a determinant outside a neighborhood of the identity on the Lie group associated to the algebra of odd-class pseudodifferential operators of order zero.
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| Date |
2019-02-18T12:04:10Z
2019-02-18T12:04:10Z 2012 |
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| Type |
Article
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| Identifier |
Classification of Traces and Associated Determinants on Odd-Class Operators in Odd Dimensions / Carolina Neira Jimenez, Marie-Françoise Ouedraogo // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 33 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 58J40; 47C05 DOI: http://dx.doi.org/10.3842/SIGMA.2012.023 http://dspace.nbuv.gov.ua/handle/123456789/148415 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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