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Regularised Integrals, Sums and Traces: An Analytic Point of View
About this Title
Sylvie Paycha, Universität Potsdam, Potsdam, Germany
Publication: University Lecture Series
Publication Year:
2012; Volume 59
ISBNs: 978-0-8218-5367-2 (print); 978-0-8218-9035-6 (online)
DOI: https://doi.org/10.1090/ulect/059
MathSciNet review: MR2987296
MSC: Primary 47-02; Secondary 11M06, 35R01, 35S05, 47G30, 58J40
Table of Contents
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Front/Back Matter
Chapters
- Chapter 1. The Gamma function extended to nonpositive integer points
- Chapter 2. The canonical integral and noncommutative residue on symbols
- Chapter 3. The cut-off regularised integral
- Chapter 4. The noncommutative residue as a complex residue
- Chapter 5. The canonical sum on noninteger order classical symbols
- Chapter 6. Traces on pseudodifferential operators
- Chapter 7. Weighted traces
- Chapter 8. Logarithmic residues
- Chapter 9. Anomalies of regularised determinants