Lesch, Matthias and Neira-Jiménez, Carolina
(2011)
*Classification of traces and hypertraces on spaces of classical pseudodifferential operators.*
Preprintreihe der Fakultät Mathematik 10/2011,
Working Paper.
(Unpublished)

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## Abstract

Let M be a closed manifold and let CL•(M) be the algebra of classical pseudodifferential operators. The aim of this note is to classify trace functionals on the subspaces CLa(M) ⊂ CL•(M) of operators of order a. CLa(M) is a CL0(M)–module for any real a; it is an algebra only if a is a non–positive integer. Therefore, it turns out to be useful to introduce the notions of pretrace and hypertrace. ...

## Export bibliographical data

Item Type: | Monograph (Working Paper) |
---|---|

Date: | 2011 |

Institutions: | Mathematics > Prof. Dr. Bernd Ammann |

Subjects: | 500 Science > 510 Mathematics |

Status: | Unpublished |

Refereed: | No, this version has not been refereed yet (as with preprints) |

Created at the University of Regensburg: | Yes |

Deposited On: | 18 Apr 2011 06:46 |

Last Modified: | 13 Mar 2014 17:15 |

Item ID: | 20512 |